Arithmetic-Geometry-Algebra-Pre-Calculus; Math Texts

<body bgcolor="white"> <a name="top"></a> <html> <head> <meta name="generator" content="BBEdit6.5"> <title>Arithmetic to Algebra through Pre-Calculus; Mathematics Texts for High School and College</title> <meta name="description" content="Arithmetic to Algebra through Pre-Calculus are Mathematics Textbooks for High School and College. These texts are designed to increase understanding and success of algebra, arithmetic, geometry and pre-calculus. These texts are designed to increase critical thinking and problem solving, reducing memorization. The Critical Thinking Texts are useful in school or home schooling, from middle school to college." /> <META name="KEYWORDS" content="algebra help, understanding textbook for algebra, teaching algebra, success in algebra, learning algebra, critical thinking in algebra, enjoying algebra, algebra texts, understanding algebra, college algebra, pre-calculus help, understanding textbook for pre-calculus, teaching pre-calculus, pre-calculus. pre calculus, success in pre-calculus, learning pre-calculus, critical thinking in pre-calculus, geometry help, understanding textbook for geometry, teaching geometry, success in geometry, arithmetic, arithmetic reasoning, arithmetic ans algebra, learning geometry, critical thinking in geometry, rational algebraic functions, textbook for learning mathematics, action mathematics, math text series, high school mathematics, high school mathematics textbooks, problem solving, logic, functions, home schooling, trigonometry, trigonometry vocabulary, trig, CLEP, G.E.D., statistics, vocabulary, quadratic trinomials. radicals, algebraic functions, rational algebraic functions, professional development, SAT, building thinking skills, Arithmetic to Algebra through Pre-Calculus, Mathematics Texts for High School and College"> <link href="/> <meta name="rating" content="general"> <meta name="revisit-after" content="10 days"> <meta name="robots" content="all"> <meta http-equiv="content-type" content="text/html; charset=iso-8859-1"> </head> <body bgcolor="white"> <a name="top"></a> <table width="525" border=0 align="center"> <tr><td align="center"><b><font face="arial, helvetica" size="6" color="red">WELCOME TO ACTION</font></b></td></tr> <tr><td align="center"><b><font face="arial, helvetica" size="6" color="red">MATHEMATICS</font></b></td></tr> </table> <BR> <table width="600" align="center" border=0 colspan=1> <tr><th><b><font face="arial, helvetica" align="center" size="5" color="red">PRODUCING TEXTBOOKS THAT FOSTER </font></b></th></tr> <tr><th><b><font face="arial, helvetica" align="center" size="5" color="red">CRITICAL THINKING, UNDERSTANDING, AND LEARNING</font></b></th></tr> <tr><th><b><font face="arial, helvetica" align="center" size="5" color="red">IN ORDER TO HELP STUDENTS TO BE SUCCESSFUL</font></b></th></tr> <tr><th><b><font face="arial, helvetica" align="center" size="5" color="red">IN ARITHMETIC, GEOMETRY, ALGEBRA,</font></b></th></tr> <tr><th><b><font face="arial, helvetica" align="center" size="5" color="red">PRE-CALCULUS, AND OTHER MATHEMATICS</font></b></th></tr> <tr><th><b><font face="arial, helvetica" align="center" size="5" color="red">IS OUR TOP PRIORITY</font></b></th></tr> </TABLE><BR> <table width="600" align="center" border=0 colspan=1> <P><tr><td align="center"><B><font face="arial, helvetica" size="5" color="BLUE">WE ALSO SPECIALIZED IN RELEARNING MATH</td></tr> </font></b> <TR><TD align="center"><B><font face="arial, helvetica" size="5" color="BLUE">LEARNING AND RELEARNING MATH IS VERY</TD></TR> </font></b> <TR><TD align="center"><B><font face="arial, helvetica" size="5" color="BLUE">IMPORTANT IN THE NEW WORLD ECCONOMY</TD></TR> </font></b> </P></table><BR> <table width="600" align="center" border=0 colspan=1> <P><tr><td align="center"><B><font face="arial, helvetica" size="5" color="#800000">THE MATH TEXTS IN THE CRITICAL THINKING</td></tr> </font></b> <TR><TD align="center"><B><font face="arial, helvetica" size="5" color="#800000">APPROACH TO LEARNING MATH ARE</TD></TR> </font></b> <TR><TD align="center"><B><font face="arial, helvetica" size="5" color="#800000"> RECOMMENDED BY SECONDARY SCHOOLS, </TD></TR> </font></b> <TR><TD align="center"><B><font face="arial, helvetica" size="5" color="#800000"> HOMESCHOOLERS, AND SELF STUDY STUDENTS </TD></TR> </font></b> </P></table><BR> <table width="600" colspan="1" align="center"> <tbody> <tr> <td align="center"><font face="Arial, Helvetica" COLOR="BLACK" size="5"><P>For all students wanting to learn mathematics; this site provides free help in arithmetic, free help in geometry, free help in algebra, and free help in pre-calculus topics in mathematics.</P. <P> We cannot learn math for you, but Dr. Del and Dr. Mel will try to make it easier for you to learn.</P><p> See the Free Math Help Page in our Site Map</P> </font></td></tr></tbody> </table> </tr> <tr> </tr> </tbody> </table> <DIV> <br><br> <table width="525" align="center" border=0 colspan=1> <TR><TD align="center"><IMG SRC="PicClass.jpg" WIDTH=326 HEIGHT=254 ALT="Arithmetic Textbook, Algebra Textbook, Pre-Calculus Textbook, ."><br> <FONT FACE="Arial, Helvetica" align="center" SIZE=2>CLASS STUDYING FROM M.T.E.'S PRE-CALCULUS</Font></TD></TR></Table> <BR><BR> <table width="525" border=0 colspan=1 align="center"> <tr><td align="center"><b><font face="arial, helvetica" align="center" size="5" color="blue">HOME OF THE</font></b></td></tr> </i><tr><td align="center"><b><font face="arial, helvetica" align="center" size="5" color="blue"><I>CRITICAL THINKING APPROACH</font></b></td></tr> <tr><td align="center"><b><font face="arial, helvetica" align="center" size="5" color="blue"><I>TO LEARNING MATHEMATICS</FONT></B></TD></TR> </i></table> <br><br> </div> <HR><HR><HR><BR><BR> <table border=0 colspan=1 width="525" align="center"> <TR><TD align="center"><FONT FACE="Arial, Helvetica" SIZE=4>M.T.E. LTD publishes ARITHMETIC TO ALGEBRA THROUGH PRE-CALCULUS series of texts; these textbooks and materials are for mathematics courses normally taught in high school (7th to 12th grades), but are also taught in colleges and universities. The mathematics in this series is presented in an understandable way in order to maximize <B> success </b>in math courses. This series mentioned above is titled: </FONT></td></tr> <br> <tr><td align="center"> <FONT FACE="Arial, Helvetica" Color="#800000" SIZE=6><i>"The Critical Thinking Approach to Mathematics." </i></FONT></td></tr></table> <BR><BR> <table border=0 colspan=1 width="525" align="center"> <TR><TD align="center"><FONT FACE="Arial, Helvetica" SIZE=4>The materials and texts in this math series contain special sets of exercises designed to foster <B>Critical Thinking </b> and <b>Problem Solving</b>. These sets are called "Exercises for Understanding" and "Problems for Problem Solving". The Texts and Materials of M.T.E. Ltd publishers are designed to Foster Reading, Understanding, and Computation -- <b>not memory.</b></FONT></td></tr></TABLE> <br> <table width="525" align="center" border=0 colspan=1> <tr><th><b><font face="arial, helvetica" align="center" size="5" color="red">BECAUSE OF THE EMPHASIS ON</font></b></th></tr> <tr><th><b><font face="arial, helvetica" align="center" size="5" color="red">UNDERSTANDING AND LEARNING, THIS SERIES</font></b></th></tr> <tr><th><b><font face="arial, helvetica" align="center" size="5" color="red">OF TEXTS IS EXCELLENT FOR</font></b></th></tr> <tr><th><b><font face="arial, helvetica" align="center" size="5" color="red">TEACHING MATHEMATICS</font></b></th></tr> </Table><BR> <P> </p> <table width="525" align="center" border=0 colspan=1> <tr><td align="center"><B><FONT FACE="Arial, Helvetica" SIZE=5>The Company motto is "Striving for Student Understanding and Success<BR> in the learning of Arithmetic, Geometry, Algebra. or Pre-Calculus".</FONT></B></TD></TR></Table><br><BR> <table width="525" align="center" border=0 colspan=1> <tr><td align="center"><B><FONT FACE="Arial, Helvetica" SIZE=5>Student Understanding is defined as a student being able to state, in their own words, the meaning of the math concept being taught. </FONT></B></TD></TR></Table><br><BR> <P> </p> <table width="525" align="center" border=0 colspan=1><tr><td align="center"> <FONT FACE="Arial, Helvetica" color="red" SIZE=5>As a customer service MTE has collected information about the CLEP mathematics examinations and has organized this information for those interested in CLEP.</FONT></td></tr></TABLE><BR><BR> <DIV align="center"><table WIDTH="500" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"> <tr align="center"><td><font FONT FACE="Arial, Helvetica" size=4 align="center" color="black"> <a href="CLEPPAGE.htm" target="mainwindow"><BR>Activate for Information about<br> The College-Level Examination Program(s) or CLEP<br> administered by the College Entrance Examination Board<BR></a></font></td></tr></table></div><BR><BR></DIV> <P> </p> <BR><HR><BR><DIV align="center"> <table width="600" border=0 colspan=1> <TR><TD align="Center"><FONT FACE="Arial, Helvetica" SIZE=5 COLOR="#0000ff"><B> For School Classroom Orders Please Contact Us Directly</TR></TD></table><BR> <table width="600" border=0 colspan=1><TR><TD align="LEFT"><FONT FACE="Arial, Helvetica" SIZE=5 COLOR="#0000ff"> <ul> <li>M.T.E. Ltd.</li> <li>3095 So. Trenton St. </li> <li>Denver, CO. 80231-4164 </li> <li>303 696 0839 </li> <li>mtepoage@interfold.com</li></ul> Find out how to make some extra money for you or your math department.</P></h3></font></b></TD></TR></table></div> </B></FONT><P><HR></P></Div> <BR><BR> <table border=0 colspan=1 width="525" align="center"> <TR><TD align="center"><FONT FACE="Arial, Helvetica" SIZE=4>The Critical Thinking Approach to Mathematics Series of texts was specifically created to facilitate the understanding of mathematics. The series is for home school, high school, college, or university students; or any individual who needs to learn or relearn math. Few humans totally understand math; however, college capable students can and should understand more math than most do after graduating from high school.</FONT></td></tr></table> <BR><HR></BR> <DIV align="center"> <TABLE WIDTH=465><TR><TD align="center"> <FONT FACE="Arial, Helvetica" COLOR="#ff0000"><H3>The Series Critical Thinking Approach to Learning<br> Mathematics of M.T.E. includes the following: </H3></FONT></TD></TR></table> <TABLE colspan=4 CELLSPACING=0 BORDER=0 WIDTH=465> <TR><TD WIDTH="4%" VALIGN="MIDDLE" HEIGHT=25 align="center"><IMG SRC="BlueDot_WEB.jpg" WIDTH=8 HEIGHT=8 ALT="BD"></TD> <TD WIDTH="60%" VALIGN="MIDDLE" HEIGHT=25> <FONT FACE="Arial, Helvetica" COLOR="#0000ff"><B>Competency Arithmetic</B></FONT></TD> <TD WIDTH="38%" VALIGN="MIDDLE" COLSPAN=2 ROWSPAN=2 HEIGHT=25> <IMG SRC="BlueBracketA_WEB.jpg" WIDTH=160 HEIGHT=77></TD></TR> <TR><TD WIDTH="4%" VALIGN="MIDDLE" HEIGHT=25 align="center"><IMG SRC="BlueDot_WEB.jpg" WIDTH=8 HEIGHT=8 ALT="BD"></TD> <TD WIDTH="60%" VALIGN="MIDDLE" HEIGHT=25> <FONT FACE="Arial, Helvetica" COLOR="#0000ff"><B>Geometric & Measurement Topics</B></FONT></TD></TR> <TR><TD WIDTH="4%" VALIGN="MIDDLE" HEIGHT=25 align="center"><IMG SRC="BlueDot_WEB.jpg" WIDTH=8 HEIGHT=8 ALT="BD"></TD> <TD WIDTH="60%" VALIGN="MIDDLE" HEIGHT=25> <FONT FACE="Arial, Helvetica" SIZE=3 COLOR="#0000ff"><B>Beginning Algebra</B></FONT></TD> <TD WIDTH="36%" VALIGN="MIDDLE" HEIGHT=25> <FONT FACE="Arial, Helvetica" SIZE=3 COLOR="#0000ff">(1st year algebra)</FONT></TD> <TD VALIGN="MIDDLE" HEIGHT=25></TD></TR> <TR><TD WIDTH="4%" VALIGN="MIDDLE" HEIGHT=25 align="center"> <IMG SRC="BlueDot_WEB.jpg" WIDTH=8 HEIGHT=8 ALT="BD"></TD> <TD WIDTH="60%" VALIGN="MIDDLE" HEIGHT=25> <FONT FACE="Arial, Helvetica" COLOR="#0000ff"><B>Intermediate Algebra</B></FONT></TD> <TD WIDTH="36%" VALIGN="MIDDLE" HEIGHT=25> <FONT FACE="Arial, Helvetica" SIZE=3 COLOR="#0000ff">(2nd year algebra)</FONT></TD> <TD VALIGN="MIDDLE" HEIGHT=25></TD></TR> <TR><TD WIDTH="4%" VALIGN="MIDDLE" HEIGHT=25 align="right"> <IMG SRC="BlueDot_WEB.jpg" WIDTH=8 HEIGHT=8 ALT="BD"></TD> <TD WIDTH="60%" VALIGN="MIDDLE" HEIGHT=25> <FONT FACE="Arial, Helvetica" COLOR="#0000ff"><B>Pre-Calculus</B></FONT></TD> <TD WIDTH="36%" VALIGN="MIDDLE" HEIGHT=25> <FONT FACE="Arial, Helvetica" SIZE=3 COLOR="#0000ff">(Advanced algebra and trigonometry)</FONT></TD> <TD VALIGN="MIDDLE" HEIGHT=25></TD></TR> </TABLE> <br><br> <table width="525" colspan=1> <TR><TD align="center"><IMG SRC="Pic5Texts_WEB.jpg" WIDTH=375 HEIGHT=250 ALT="Critical Thinking Approach"></TD></TR> <TR><TD align="center"><FONT FACE="Arial, Helvetica" size=2>FIVE TEXTBOOKS IN M.T.E.'S CRITICAL THINKING APPROACH TO MATHEMATICS SERIES </FONT></TD></TR></table> <br><br><HR><BR><BR> <a name="table"></a> <DIV align="center"> <TABLE><TR><TD align="center"> <FONT FACE="Arial, Helvetica" COLOR="CHARTUSE"><H3>MANY OF OUR CUSTOMERS ARE CONCERNED WITH AND WANT <BR>MORE INFORMATION ON ONE OR MORE OF THE FOLLOWING TOPICS:<BR>THE BUTTONS WILL CONNECT YOU TO ADDITIONAL INFORMATION <BR>ABOUT THESE TOPICS.</H3> </FONT></TD></TR></table><BR> <table colspan=3 CELLSPACING=0 BORDER=3 width="300"> <tr><td HALIGN="center"><A HREF="#option1"><FONT FACE="Arial, Helvetica"><FONT FACE="Arial, Helvetica"><h3> <BR>Obtaining a textbook to help a student learn math and get better grades.<BR> </h3></A></font></td></tr></table><BR> <table colspan=3 CELLSPACING=0 BORDER=3 width="300"> <tr><td HALIGN="center"><A HREF="#option2"><FONT FACE="Arial, Helvetica"><FONT FACE="Arial, Helvetica"><h3> Helping students understand the importance of problem solving and critical thinking.</FONT></td></tr></TABLE> </h3></A></font></td></tr></table><BR><BR> <table colspan=3 CELLSPACING=0 BORDER=3 width="300"> <tr><td HALIGN="center"><A HREF="#option3"><FONT FACE="Arial, Helvetica"><FONT FACE="Arial, Helvetica"><h3> Helping students to think for themselves and understand math concepts instead of memorizing.</FONT></td></tr></TABLE> </h3></A></font></td></tr></table><BR><BR> <table colspan=3 CELLSPACING=0 BORDER=3 width="300"> <tr><td HALIGN="center"><A HREF="#option4"><FONT FACE="Arial, Helvetica"><FONT FACE="Arial, Helvetica"><h3> The Company and the Authors.</FONT></td></tr></TABLE> </h3></A></font></td></tr></table></DIV><BR><BR><BR> <br><HR></br> <DIV align="center"><table width="525"> <TR><TD align="left"><B><FONT FACE="Arial, Helvetica" SIZE=4 COLOR="#ff0000">If you need a mathematical resource for: </FONT></B></TD></TR><br> <TR><TD align="left"><B><FONT FACE="Arial, Helvetica" SIZE=4 COLOR="#ff0000"> <UL> <LI>home schooling, </LI> <LI>a student's homework, </LI> <LI>help in upgrading your employees, </LI> <LI>just an additional math resource, or </LI> <LI>a GED. </LI></UL> </font></B></td></TR></table> <BR><BR> <Table width="525"> <TR><TD align="center"><I><FONT FACE="Arial, Helvetica" SIZE=4>The Critical Thinking Approach to Learning Mathematics</I></FONT></TD></TR> <TR><TD align="left"><FONT FACE="Arial, Helvetica" SIZE=4>is an excellent Series of textbooks, which has been used for over 15 years with thousands of students to successfully improve math vocabulary and the understanding of mathematics. This series has been used in classrooms, home schooling, math labs, tutorial or self-study situations, or industrial employee improvement programs. Click on the appropriate text in the site map, located on the left, for more information about each text package. </FONT></TD></TR></table> <BR><BR> <Table width="525"><TR><TD align="center"> <FONT FACE="Arial, Helvetica" SIZE=4>These texts are based on the results of nearly 20 years of research concerned with determining why students in high schools and college memorize math, but fail to understand the concepts; thus eliminating any chances of taking university level math courses needed for degrees that lead to higher paying positions. </FONT></TD></TD></table></div> <BR><BR> <div ALIGN="CENTER"><IMG SRC="CriThink.jpg" WIDTH=306 HEIGHT=285 ALT="Arithmetic Textbook, Algebra Textbook, Pre-Calculus Textbook,"><BR> <FONT FACE="Arial, Helvetica" align="center" SIZE=2>M.T.E.'S CRITICAL THINKER</FONT></div> <BR><BR> <div ALIGN="CENTER"> <FONT FACE="Arial, Helvetica" COLOR="#ff0000"><H3><P align="center">If you have any questions, use the E-mail below to send them to us.</H3></P></FONT></div> <BR> <div ALIGN="center"> <Table width="525"> <FONT FACE="Arial, Helvetica"SIZE=4 COLOR="#0000ff"><B>© 2005 by Materials and Technology for Education (M.T.E.) Ltd. <BR> An Educational Math Publishing and Consulting Company</B><br><BR> <TR><TD align="left"><FONT FACE="Arial, Helvetica"SIZE=4 COLOR="#0000ff"><b> <UL> <LI>3095 So. Trenton St.</LI> <LI>Denver, CO. 80231-4164</LI> <LI>303 696 0839</LI> <LI>mtepoage@interfold.com</LI></UL> </B></font></TD></TR></table></div> <div ALIGN="RIGHT"> <H3><A HREF="#top"><FONT FACE="Arial, Helvetica">RETURN TO TOP</FONT></A></H3></div> </DIV> <br><HR> <A NAME="option1"></A> <div align="center"> <b><FONT FACE="Arial, Helvetica" SIZE=4 COLOR="#0000ff"><br><HR><HR> <Table width="525"> <TR><TD align="left"><FONT FACE="Arial, Helvetica" align="left" COLOR="0000ff"> <H3>Obtaining a textbook to help a student learn math and get better grades. </H3> <br></FONT></TR></TD> <IMG SRC="Pic5TextsStair.jpg" WIDTH=431 HEIGHT=246 ALT="Critical Thinking Approach"><BR> <BR><FONT FACE="Arial, Helvetica" SIZE=2 color="black">THE TEXTS IN THE M.T.E. SERIES: THE STAIRWAY TO CALCULUS.</FONT></DIV> <br><br> <div ALIGN="center"><Table width="525"> <TR><TD align="left"><FONT FACE="Arial, Helvetica" SIZE=4>The emphasis used in the writing of the Critical Thinking Approach to Mathematics Series is that of understanding mathematics. These texts feature new and different types of exercises to foster better understanding and retention of the mathematics learned as well as the ability to read math and math notation.<BR><BR>Increasingly, more and more parents are discovering that their student who used to enjoy math now hates math because of the excessive memory approach used in traditional texts. <BR><BR> Consequently, students using the materials of M.T.E. get better math grades and do not need to retake high school math in the college or university remedial programs as do most students using the traditional approach. This saves both time and money for the student while attending college.<BR<BR><BR> Satisfaction is fully guaranteed on all M.T.E. products. For more about this guarantee click the "Information about the Critical Thinking Approach to Mathematics Page" in the site map located at the top left of this page.<BR><BR> </TD></TR></TABLE></div> <div ALIGN="RIGHT"> <H3><A HREF="#table"><FONT FACE="Arial, Helvetica align=">RETURN TO TABLE</FONT></A></H3></div> <HR> <A NAME="option2"></A> <br><HR><HR><BR> <div ALIGN="center"><Table width="525"> <TR><TD align="left"><H3><FONT FACE="Arial, Helvetica" COLOR="#0000ff"> Helping students understand the importance of <BR>problem solving and critical thinking.</FONT></H3></TD></TR> <TR><TD align="left"><BR> <FONT FACE="Arial, Helvetica" SIZE=4>Everyone in all occupations is concerned with problem solving; this is particularly true in mathematics. <B>Problem Solving is Applied Critical Thinking.</B> Business and industry seek people who are problem solvers; consequently, they most often get the better higher paying positions. Students taught critical thinking improve their ability to think for themselves and are better problem solvers. <BR><BR> Critical Thinking is logical and productive thinking that is capable of extending ideas, creating new ideas, and synthesizing patterns of thought. Critical Thinking is a type of disciplined reasoning. Educational Critical Thinking must be self-directed, self-disciplined, self-monitored, and self-corrective. The definition used for critical thinking in Critical Thinking Approach to Mathematics texts was</FONT></TD></TR></table> <Table width="525"><TR><TD align="left"><FONT FACE="Arial, Helvetica" SIZE=4 COLOR="#ff0000"> <B><BLOCKQUOTE>"The ability to ask questions and to seek answers toward the positive solution of a problem or situation." </BLOCKQUOTE></B></font></TD></TR> <img SRC="STUDENTSUCCESS_WEB.jpg" height=350 width="550" ALT="Arithmetic Textbook, Algebra Textbook, Pre-Calculus Textbook,"> <BR></Table> <Table width="525"><TR><TD align="left"> <FONT FACE="Arial, Helvetica" SIZE=4>Understanding Algebra is the key to passing a university level mathematics course and this, in turn, is the key to obtaining a higher paying position in a student's future. Traditional texts contain more content than can reasonably be learned in a school term by a student; in the case of mathematics texts, "more is not better" it is simply more. In order to complete the text and pass required tests, students and teachers are forced to use memorization as the main mode of learning; memorized information is stored in short-term memory and is soon lost forever. <BR><BR>Traditional texts contain so much information that there is not enough time to teach critical thinking and problem solving. More and more parents are stating that their student, who used to enjoy and like mathematics, now hates math because of the great amount of memory work involved in their traditional text. <BR><BR>The Critical Thinking Approach to Learning Mathematics Series of M.T.E. contains all the necessary mathematics from arithmetic to algebra to pre-calculus, but eliminates the unnecessary and "frill" concepts in that course. It was determined that 30 Units (Chapters) would be required to adequately cover the mathematics from Arithmetic to Pre-Calculus to prepare a student sufficiently to enroll and pass a university level Calculus course. For more about this and other topics, click the "Information about the Critical Thinking Approach to Mathematics Page" in the site map located on the top left of this page. </FONT></TD></TR></TABLE></div> <div ALIGN="RIGHT"> <H3><A HREF="#table"><FONT FACE="Arial, Helvetica">RETURN TO TABLE</FONT></A></H3></div> <HR> <A NAME="option3"></A> <br><HR><HR> <div align="center"><Table width="525"><TR><TD align="left"> <FONT FACE="Arial, Helvetica" COLOR="#0000ff"><H3>Helping students to think for themselves and understand math concepts instead of memorizing.</H3></Font</TD></TR></Table> <Table width="525"><TR><TD align="left"><FONT FACE="Arial, Helvetica" SIZE=4> In today's math education, students are taught to memorize math facts; because teachers and educators feel this is the best approach to have better results on standardized tests. In many cases, this is a necessary result for schools to obtain federal and state funds.<BR><BR>Unfortunately, memorization of math facts not only does not guarantee the understanding of math concepts; it often has the opposite effect on learning these concepts. </FONT></TD></TR></TABLE><BR> <Table width="525"><TR><TD align="LEFT"><FONT FACE="Arial, Helvetica" SIZE=4 COLOR="#ff0000"><B>Memorization: </B></FONT></TD></TR> <TR><TD align="LEFT"><FONT FACE="Arial, Helvetica" SIZE=4> Students are trying to memorize all necessary facts that are needed to pass the course. However, this is not possible for most students and such a course of action has no long-term benefits; hence causing the basic problem in mathematics today, lack of understanding. which results in poor performance or failure in succeeding math courses. Increasingly it is also causing students to hate math even though they use to enjoy math. This lack of preparation often causes the student to take the remedial math in college or university adding a year or two in college and additional tuition costs. <BR><BR> "In many cases the successful completion of a university level math course is one of the requirements for obtaining degrees that can lead to higher paying positions after graduation. College capable students can and should understand more mathematics than most do after graduating from high school. The Critical Thinking Approach to Learning Mathematics Series of texts has been specifically created to facilitate the understanding of math. Make mathematics a life's partner; instead of a feared-required task. For more about this and other topics, click the "Information about the Critical Thinking Approach to Mathematics Page" in the site map located on the top left of this page. <BR><BR> In many cases the successful completion of a university level math course is one of the requirements for obtaining degrees that can lead to higher paying positions after graduation. College capable students can and should understand more mathematics than most do after graduating from high school. The Critical Thinking Approach to Learning Mathematics Series of texts has been specifically created to facilitate the understanding of math. </FONT></TD></TR> </TABLE></div> <div ALIGN="RIGHT"> <H2><A HREF="#table"><FONT FACE="Arial, Helvetica align=">RETURN TO TABLE</FONT></A></H2></div> <HR> <A NAME="option4"></A> <br><HR><HR> <div align="center"><Table width="525"><TR><TD align="center"><FONT FACE="Arial, Helvetica" COLOR="#0000ff"><H2> About the Company and the Authors.</H2></FONT></TD></TR> <TR><TD align="center"><IMG SRC="MTECOP_WEB.jpg" height=500 width="525" ALT="Arithmetic Textbook, Algebra Textbook, Pre-Calculus Textbook,"><BR></TD></TR></TABLE> <BR><BR> <Table border=0 colspan=1 width="525"> <TR><TD align="LEFT" > <FONT FACE="Arial, Helvetica" SIZE=4>Materials and Technology for Education (M.T.E.) Ltd. was started in the fall of 1996. As an outgrowth of the research project, the authors were conducting trying to determine why high school graduates who had passed math courses with good grades could not pass the mathematics entrance exam for the university. Having gotten very successful results from the research and the materials written for the research project; the authors felt they needed to produce textbooks based on the materials used in the research; thus M.T.E. publishing company was formed.<BR><BR> The main objective of the company was, and still is, to produce math textbooks that have a higher rate of student success than traditional texts.</FONT></TD></TR> <BR><BR> <Table border=0 colspan=1 width="525"> <TR><TD align="LEFT"><FONT FACE="Arial, Helvetica" COLOR="#0000ff"><H4>AUTHOR TEAM RESEARCH</H4></FONT></TD></TR> <TR><TD align="LEFT" ><FONT FACE="Arial, Helvetica" SIZE=4>As mentioned above, the authors were asked by their university to research the problem of why did so many students having good to excellent grades in high school math courses fail the mathematics entrance exam for the university. After a couple of years of attempting various "Band-Aid" cures, it was decided that major overhaul was needed, particularly the curriculum, course materials, and teaching methods. The research project was called "Continuous Sequence in Basic Mathematics" (CSBM) and the results of CSBM are presented in the "Information About Critical Thinking Approach to Mathematics" page of this web site. After a few years there were as many as 3000 students a semester in CSBM. The materials used in CSBM were constantly revised to improve student success rate. Toward the end of CSBM, the materials and improved teaching allowed a rate of 72% of the students to make grades of 87.5%, aB+, or higher. Those graduates of CSBM who opted to take a university calculus course, over a 3-year period, made better grades (Ave. 3.04 to Ave. 2.43) than the students who were not part of the research. (The Mathematical Association of America. conducted this study). The research and materials for the "Critical Thinking Approach to Teaching Mathematics" have been cited positively by: </TD></TR></TABL <Table width="525"> <TR><TD align="left"><FONT FACE="Arial, Helvetica" SIZE=4> <UL> <LI>MAA Visiting Committee, </LI> <LI>University Evaluation Committees, </LI> <LI>ERIC, </LI> <LI>The New York Times and </LI> <LI>This World Magazine. </LI></UL></FONT></TD></TR></table> <BR><BR> <Table width="525"><TR><TD align="LEFT"> <FONT FACE="Arial, Helvetica" COLOR="#0000ff"> <H3>ABOUT THE AUTHORS.</H3></FONT></TD></TR> <TR><TD align="LEFT"><FONT FACE="Arial, Helvetica" SIZE=3><B>Melvin Poage, Ph. D.</B></TD> <TD align="LEFT"><FONT FACE="Arial, Helvetica" SIZE=3>Mathematics - Michigan State University</FONT></TD></TR> <TR><TD align="LEFT"><FONT FACE="Arial, Helvetica" SIZE=3><B>Carl Arendsen, Ph. D.</B></FONT></TD> <TD align="LEFT"><FONT FACE="Arial, Helvetica" SIZE=3>Mathematics - Michigan State University</FONT></TD></TR> <TR><TD align="LEFT"><FONT FACE="Arial, Helvetica" SIZE=3><B>Delano Wegener, Ph. D.</B></FONT></TD> <TD align="LEFT"><FONT FACE="Arial, Helvetica" align="LEFT" SIZE=3>Mathematics - Ohio University</FONT></TD></TR> </TABLE> <br> <Table width="525"> <TR><TD align="LEFT"><FONT FACE="Arial, Helvetica" COLOR="#0000ff"> <H4><BR>THE AUTHORS HAVE A COMBINED EXPERIENCE OF:</H4> </FONT></TR></TD></TABLE> <Table width="525"><TR><TD align="LEFT"><FONT FACE="Arial, Helvetica" SIZE=4> <UL> <LI>20 years of teaching high school mathematics, </LI> <LI>52 years of teaching university mathematics, </LI> <LI>35 years of industrial experience, and </LI> <LI>23 years of research experience. </LI></UL></FONT></TD></TR> </Table> <Table border=0 colspan=1 width="525"> <TR><TD align="LEFT"><FONT FACE="Arial, Helvetica" SIZE=4>(Note that some time overlap occurs since the authors <BR>occasionally held two occupations at the same time.) </font></TD></TR></TABLE></div> <div ALIGN="RIGHT"> </FONT><H3><A HREF="#top"><FONT FACE="Arial, Helvetica align=">RETURN TO TOP</FONT></A></H3> </FONT></div> <!-****************** --> <!- Start of Help Page --> <div align="center"><table WIDTH="600" colspan="1" > <tr><td><font face="Arial, Helvetica" color="#FF6600" size="+2">ABOUT THIS TEXT</font> <font face="Arial, Helvetica" size=4><P>The Text Critical Thinking Approach to Competency Arithmetic is recommended by Colleges, Universities, Secondary Schools, Home Schoolers, and Self Study Students because it emphasizes understanding, learning, and relearning of mathematical concepts as opposed to memorization. This review of Arithmetic text fosters Student Success and enables the Teaching of math concepts because of the extra amount of time allowed to master these needed concepts.</P> <P>The <i>Critical Thinking Approach to Competency Arithmetic</i> contains the curriculum for a Pre-Algebra math course normally taught in 8th grade or in a review sequence in college. This text, "<I>Competency Arithmetic",</I> is recommended by schools. homeschoolers, and for self study students who want to understand and learn math concepts as opposed to memorizing them. Many students struggle with algebra through no fault of their own because they do not have a sufficient background in Arithmetic. Arithmetic has its own unique language and set of rules, and the frustration experienced by students can result in a loss of self-confidence. <i>Critical Thinking Approach to Competency Arithmetic </i>features a comprehensive, step-by-step approach that simplifies concepts by breaking them up into bite-size pieces, using high quality illustrations, and providing real-life examples. The Arithmetic is presented in an adult an format and in an understandable way in order to maximize success in this course. The<i> Competency Arithmetic </i>Text in the Arithmetic to Algebra through Pre-Calculus Series contains all necessary topics needed to understand Algebra. The complete Table of Contents for this text is presented at the bottom of this web-page. </P> <P>This text, along with <i>Critical Thinking Approach to Geometric and Measurement Topics</i> forms the curriculum for a Pre-Algebra math course normally taught in 8th grade or as the first course in a review sequence in college.</P</font></TR></TR></Table><BR> iv align="center"> <table cellspacing="0" border="0" width="600"> <tbody> <tr> <td valign="middle" bgcolor="gold" height="20"> </td> <td valign="middle" bgcolor="gold" height="20"> </td> </tr> </tbody> </table> <br> <table width="525" border="0" colspan="1"> <tbody> <tr> <td align="center"><b><font face="Arial, Helvetica" align="center" size="6" color="blue"> FREE MATH HELP</font></b></td> </tr> <tr> <td align="center"><b><font face="Arial, Helvetica" align="center" size="6" color="blue"> AVAILABLE</font></b></td> </tr> <tr> <td align="center"><b><font face="Arial, Helvetica" align="center" size="6" color="BLUE"> BY DR DEL AND DR MEL</font></b></td> </tr> </tbody> </table> <br> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="GOLD"> <tbody> <tr> <td height="15"> </td> <td height="15"> </td> </tr> </tbody> </table> <br> <table width="600" border="6" cellspacing="8" cellpadding="0" colspan="2"> <tbody> <tr colspan="2"> <td width="50%" height="30" bgcolor="gold" border="6" align="center"><a href="#del"><font face="Arial, Helvetica, sans-serif" size="4" color="#b00e00"><b>DR DEL</b></font><b></b></a></td> <td width="50%" height="30" bgcolor="gold" border="6" align="center"><a href="#mel"> <font face="Arial, Helvetica, sans-serif" size="4" color="#b00e00"><b>DR MEL</b></font><b></b></a></td> </tr> </tbody> </table> <br> <br> <div align="center"> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="GOLD"> <tbody> <tr> <td height="15"> </td> <td height="15"> </td> </tr> </tbody> </table> </div> <br> <br> <div align="center"> <div align="center"> </div> <table width="600" colspan="1"> <tbody> <tr> </tr> </tbody> </table> <table width="600" colspan="1"> <tbody> <tr> <td align="left"><font face="Arial, Helvetica" color="#ff6600" size="+2">RATIONALE</font></td> </tr> </tbody> </table> <table width="600" colspan="1"> <tbody> <tr> <td align="left"><font face="Arial, Helvetica" size="4"><P>We have always provided a free consulting service to answer questions for all students wanting to learn mathematics. We cannot learn math for you, but we will try to make it easier for you to learn. </P> <P>In this context we are providing free help in arithmetic, free help in geometry, free help in algebra, and free help in pre-calculus topics in mathematics. </P></font></td> </tr> <tr> </tr> </tbody> </table> <br> <br> <table width="600" colspan="1"> <tbody> <tr> <td align="left"><font face="Arial, Helvetica" color="#ff6600" size="5">ABOUT THE AUTHORS</font></td> </tr> </tbody> </table> <table width="600" colspan="2"> <tbody> <tr> <td align="left" width="35%" arial="" helvetica="" size="3"><b>Delano Wegener, Ph. D.</b></td> <td align="left" width="65%" arial="" helvetica="" size="3">Mathematics - Ohio University</td> </tr> <tr> <td align="left" width="35%"><font face="Arial, Helvetica" size="3"><b>Melvin Poage, Ph. D.</b></font></td> <td align="left" width="65%"><font face="Arial, Helvetica" size="3">Mathematics - Michigan State University</font></td> </tr> </tbody> </table> <br> <br> <table border="0" colspan="1" width="600"> <tbody> <tr> <td align="left"><font face="Arial, Helvetica" size="4">The authors were asked by their university to research the problem of why did so many students having good to excellent grades in high school math courses fail the mathematics entrance exam for the university. The research project was called "Continuous Sequence in Basic Mathematics" (CSBM) and the results of CSBM lead to the development of the <i>Critical Thinking Approach to Mathematics </i> series of texts and materials There were as many as 3000 students a semester in CSBM. The materials used in CSBM were constantly revised to improve student success rate. Toward the end of CSBM, the materials and improved teaching allowed a rate of 72% of the students to make grades of 87.5%, aB+, or higher. Those graduates of CSBM who opted to take a university calculus course, over a 3-year period, made better grades (Ave. 3.04 to Ave. 2.43) than the students who were not part of the research. (The Mathematical Association of America. conducted this study). </font></td> </tr> </tbody> </table> <br> <br> <table border="0" colspan="1" width="600"> <tbody> <tr> <td align="left"><font face="Arial, Helvetica" size="4"> Dr. Delano Wegener now lives and works in St. Louis Missouri area and Dr, Melvin Poage now lives and works in Denver Colorado. They frequently talk or E-mail one another to discuss topics related to mathematics or the teaching of mathematics. It is interesting to note that the first name of the wifes of both professors is Esther.</font></td> </tr> </tbody> </table> <br> <table width="550" colspan="2"> </table> <table width="600" colspan="1"> <tbody> <tr> <td align="left"><font face="Arial, Helvetica" color="#0000ff"> <h4>THE AUTHORS HAVE A COMBINED EXPERIENCE OF:</h4> </font></td> </tr> <tr> <td align="left"><font face="Arial, Helvetica" size="4"> <ul> <li>20 years of teaching high school mathematics, </li> <li>52 years of teaching university mathematics, </li> <li>35 years of industrial experience, and </li> <li>23 years of research experience. </li> </ul> </font></td> </tr> </tbody> </table> <table border="0" colspan="1" width="525"> <tbody> <tr> <td align="left"><font face="Arial, Helvetica" size="4">(Note that some time overlap occurs since the authors <br> occasionally held two occupations at the same time.) </font></td> </tr> </tbody> </table> . </div> <br> <br> </div> <div align="center"> <table width="600" colspan="1"> <tbody> <tr> <td align="left" width="200" valign="top"><font face="Arial, Helvetica" color="#ff6600" size="+2">HOW TO USE</font><br> <br> <font face="Arial, Helvetica" size="4">There are two types of help available for you to use.</font></td> <td align="center" hwidth="400" valign="top"><img src="Sm_Triangle_WEB.jpg" width="200" height="200" valign="top" alt="Arithmetic Text, Algebra Text, Pre-Calculus Text"></TD></TR> </tbody> </table> <a name="del"></a> <div align="center"> <br> <a href="http://www.itsamac.com/howtos/phpmysql/index.php"></a> <table width="600" border="6" cellspacing="8" cellpadding="0" colspan="1" bgcolor="lightblue"> <tbody> <tr> <td align="center"><b><font face="Arial, Helvetica" align="center" size="6" color="blue"> </font></b></td> <td align="left"><b><font face="Arial, Helvetica" align="center" size="6" color="BLUE"> #1 DR DEL</font></b></td> </tr> </tbody> </table> <br> <br> <table width="600" border="6" cellspacing="8" cellpadding="0" colspan="1"> <tbody> <tr> <td align="left"><font face="Arial, Helvetica" size="5" color="blue">DR DEL</font></td> <td><font face="Arial, Helvetica" size="5"> has available a reference web-site that contains explanations for almost all of the difficult math concepts in mathematics courses that are taught before Calculus. To access this excellent reference use the Button Below to Open Dr Del's Help Link. In this menu the topics on the left are general and the ones on the right are course specific to his university classes. I recommend the Special topics in mathematics. </font></td> </tr> </tbody> </table> <br> </div> <br> <br> <br> <div align="center"> <table width="300" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"> <tbody> <tr align="center"> <td align="center"> <font face="Arial, Helvetica" size="5"> <a href="http://www.drdelmath.com/"> Dr. Del's Help Link </a> </font></td> </tr> </tbody> </table> </div> <p> </p> <div align="center"> <a name="mel"></a> <br> <a href="http://www.itsamac.com/howtos/phpmysql/index.php"></a> <table width="600" border="6" cellspacing="8" cellpadding="0" colspan="1" bgcolor="lightblue"> <tbody> <tr> <td align="center"><b><font face="Arial, Helvetica" align="center" size="6" color="blue"> </font></b></td> <td align="left"><b><font face="Arial, Helvetica" align="center" size="6" color="BLUE"> #2 DR MEL</font></b></td> </tr> </tbody> </table> <br> <br> <table width="600" border="6" cellspacing="8" cellpadding="0" colspan="1"> <tbody> <tr> <td align="left"><font face="Arial, Helvetica" size="5" color="blue">DR MEL</font></td> <td><font face="Arial, Helvetica" size="5"> also has references available and a space for you to ask direct questions. To use this service, first check the reference buttons below to see if your question is one of these topics. If not, complete the form below the reference boxes to ask a direct question. Select your problem type below. </font></td> </tr> </tbody> </table> <br> <br> <br> <div> <a name="refer"> </a> <a name="table"> </a> <table colspan="2" width="600" bgcolor="lightgrey"> <tbody> <tr> <td align="left" width="600" marginwidth="3" marginheight="3" cellspacing="0" border="4"> <font font="" face="Arial, Helvetica" size="4">TYPE OF REFERENCE</font></td> </tr> <tr> <td align="left" width="600" lightgrey=""> <br> </td> </tr> </tbody> </table> <table colspan="5" width="600" bgcolor="lightgrey"> <tbody> <tr colspan="1"> <td align="left" width="600" bgcolor="lightgrey"> <br> </td> </tr> <tr> <td align="left" width="3%" height="30" bgcolor="lightgrey"><br> </td> <td align="center" width="45%" height="30" border="10" bgcolor="white" valign="top"> <a href="infopageBB.htm#option3"> <font font="" face="Arial, Helvetica" size="4" color="red"> <br> Information about<br> Teaching<br> Mathematics<br> <br> </font></a></td> <td width="3%" bgcolor="lightgrey"><br> </td> <td align="center" width="45%" height="30" border="10" bgcolor="white" valign="top"> <a href="infopageBB.htm#option4"> <font font="" face="Arial, Helvetica" size="4" color="red"> <br> Information about<br> Mathematics<br> Curriculum<br> </font></a></td> <td width="25%" bgcolor="lightgrey"><br> </td> </tr> <tr> <td align="left" width="600" lightgrey=""> <br> </td> </tr> </tbody> </table> <table colspan="5" width="600" bgcolor="lightgrey"> <tbody> <tr colspan="1"> <td align="left" width="600" bgcolor="lightgrey"> <br> </td> </tr> <tr colspan="1"> <td align="left" width="3%" bgcolor="lightgrey"><br> </td> <td align="center" width="45%" height="30" border="10" bgcolor="white" valign="top"> <a href="infopageBB.htm#option5"> <font font="" face="Arial, Helvetica" size="4" color="red"> <br> Information about<br> Reading<br> Mathematics<br> </font></a></td> <td width="3%" bgcolor="lightgrey"><br> </td> <td align="center" width="45%" height="30" border="10" bgcolor="white" valign="top"> <a href="infopageBB.htm#option6"> <font font="" face="Arial, Helvetica" size="4" color="red"> <br> Information about<br> Critical<br> Thinking<br> <br> </font></a></td> <td width="15%" bgcolor="lightgrey"><br> </td> </tr> <tr colspan="1"> <td align="left" width="600"> <br> </td> </tr> </tbody> </table> </div> <div> <table colspan="5" width="600" bgcolor="lightgrey"> <tbody> <tr colspan="1"> <td align="left" width="600" bgcolor="lightgrey"> <br> </td> </tr> <tr> <td align="left" width="20%" height="30" bgcolor="lightgrey"><br> </td> <td align="center" width="45%" height="30" border="10" bgcolor="white" valign="top"> <a href="infopageBB.htm#option7"> <font font="" face="Arial, Helvetica" size="4" color="red"> <br> What is Critical<br> Thinking?<br> <br> </font></a></td> <td width="20%" bgcolor="lightgrey"><br> </td> </tr> <tr colspan="1"> <td align="left" width="600" bgcolor="lightgrey"> <br> </td> </tr> </tbody> </table> <br> <br> <br> <table width="600" colspan="1" border="6" cellspacing="8" cellpadding="0" bgcolor="white"> <tbody> <tr> <td align="left"><font face="Arial, Helvetica" size="5" color="darkgreen">If you have a question about either a Math Concept or a Math Problem, complete the following table and you will receive a return E-mail that has the answer within a day or two.</font></td> </tr> </tbody> </table> </div> <br> <br> <br> <br> <div> <fieldset> <form action="http://easyscript.itsamac.com/formmailer.easy" method="post" enctype="application/x-www-form-urlencoded"> <p><font face="Arial, Helvetica" size="5"> <br> Your First Name: <input type="text" name="name" size="35"/> <br> Your Textbook: <input type="text" name="subject" size="45"/> <br> Email address: <input type="text" name="mailfrom" size="55"/> <br><BR> Type your question in the box:<br> <textarea name="message" rows="20" cols="80"></textarea><br> <br> <INPUT TYPE="HIDDEN" NAME="mailto" SIZE="-1" VALUE="mtepoage@actionmathematics.com"><INPUT TYPE="HIDDEN" NAME="returnurl" SIZE="-1" VALUE="http://www.actionmathematics.com/homepage2.htm"><BR> <INPUT TYPE="SUBMIT" NAME="Submit" VALUE="Submit"><INPUT TYPE="RESET" NAME="Reset" VALUE="Opps erase all"><BR> <BR> </font></p></form> </fieldset> <BR><BR> <table> <tbody> <tr><font face="Arial, Helvetica" size="5"> <td align="center"><font face="Arial, Helvetica" size="5"> If you wish to see another page on this web-site<br> and the M.T.E. Site Map does not appear at the left of your screen <br> Open the Link Shown Below:</font></td> </tr> <tr> <td align="center"><font face="Arial, Helvetica" color="blue" size="5"> <a href="http://www.actionmathematics.com"> Site Map</a></font></td> </tr> </tbody> </table> </font></div> <!-****************** --> <!- Start of Competency Page --> <div align="center"><A NAME="top"></A> <TABLE CELLSPACING=0 BORDER=0 WIDTH=600> <TR><TD VALIGN="MIDDLE" BGCOLOR="#ff6600" HEIGHT=20> </TD> <TD VALIGN="MIDDLE" BGCOLOR="#ff6600" HEIGHT=20> </TD></TR> </TABLE> <TABLE width=525 border=0 colspan=1> <BR><TR><TD align="center"><B><FONT FACE="Arial, Helvetica" align="center" SIZE=5 COLOR="#ff6600"> ARITHMETIC TO ALGEBRA</FONT></TD></TR> <TR><TD align="center"><B><FONT FACE="Arial, Helvetica" align="center" SIZE=5 COLOR="#ff6600"> THROUGH PRE-CALCULUS</FONT></TD></B></TR> <TR><TD align="center"><B><FONT FACE="Arial, Helvetica" align="center" SIZE=5 COLOR="#ff6600"> TEXTBOOKS</FONT></TD></B></TR> </TABLE><BR> <TABLE width=525 > <TR><TD align="center"><B><FONT FACE="Arial, Helvetica" SIZE=6 COLOR="#ff6600">CRITICAL THINKING APPROACH<BR> to COMPETENCY ARITHMETIC</font></B></TD></TR><BR> <TR><TD align="center"><font face="Arial, Helvetica" color="#ff6600" size=+2> Second Edition</font></b></TD></TR> <TABLE width=600 align="center" border=0 colspan=1> <BR><TR><TD width="300" align="LEFT"><img SRC="NEW.JPG" height=150 width=250></TD> <TD width="300" align="right"><b><font FACE="Arial, Helvetica" SIZE="3" COLOR="663390">Units 1 - 4 <BR>Chapters 1 - 4</font></b></TD></TR></TABLE> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="#ff6600"> <tr> <td height="15"> </td> <td height="15"> </td> </tr> </table><BR> <table width="600" border="6" cellspacing="8" cellpadding="0" colspan="3"> <tr colspan="3"> <td width="30%" height="30" bgcolor="#ff6600" border="6" align="center"><font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Prices</font></a></b></td> <td width="35%" height="30" bgcolor="#ff6600" border="6" align="center"><A HREF="#Testi"> <font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Testimonials</font></a></b></td> <td width="35%" height="30" bgcolor="#ff6600" border="6" align="center"><A HREF="#taofcont"><font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Table of Contents</font></a></b></td></TR></table><BR> <div align="center"> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="#FF6600"> <tr> <td height="15"> </td> <td height="15"> </td> </tr> </table></div><BR><BR> <div align="center"><table WIDTH="600" colspan="1" > <tr><td><font face="Arial, Helvetica" color="#FF6600" size="+2">ABOUT THIS TEXT</font> <font face="Arial, Helvetica" size=4><P>The Text Critical Thinking Approach to Competency Arithmetic is recommended by Colleges, Universities, Secondary Schools, Home Schoolers, and Self Study Students because it emphasizes understanding,learning, and relearning of mathematical concepts as opposed to memorization. This review of Arithmetic text fosters Student Success and enables the Teaching of math concepts because of the extra amount of time allowed to master these needed concepts.</P> <P>The <i>Critical Thinking Approach to Competency Arithmetic</i> contains the curriculum for a Pre-Algebra math course normally taught in 8th grade or in a review sequence in college. This text, "<I>Competency Arithmetic",</I> is recommended by schools. homeschoolers, and for self study students who want to understand and learn math concepts as opposed to memorizing them. Many students struggle with algebra through no fault of their own because they do not have a sufficient background in Arithmetic. Arithmetic has its own unique language and set of rules, and the frustration experienced by students can result in a loss of self-confidence. <i>Critical Thinking Approach to Competency Arithmetic </i>features a comprehensive, step-by-step approach that simplifies concepts by breaking them up into bite-size pieces, using high quality illustrations, and providing real-life examples. The Arithmetic is presented in an adult an format and in an understandable way in order to maximize success in this course. The<i> Competency Arithmetic </i>Text in the Arithmetic to Algebra through Pre-Calculus Series contains all necessary topics needed to understand Algebra. The complete Table of Contents for this text is presented at the bottom of this web-page. </P> <P>This text, along with <i>Critical Thinking Approach to Geometric and Measurement Topics</i> forms the curriculum for a Pre-Algebra math course normally taught in 8th grade or as the first course in a review sequence in college.</P</font></TR></TR></Table><BR> <table WIDTH="600" colspan="1" > <TR><TD align="center"><FONT FACE="Arial, Helvetica" SIZE=4> If you wish to see another page on this web-site<BR>and the M.T.E. Site Map does not appear at the left of your screen <BR>Open the Link Shown Below:</font></TR></TD> <br><br> <TR><TD align="center"><FONT FACE="Arial, Helvetica" color="blue" SIZE=5> <a href="http://www.actionmathematics.com">Site Map</a></font></td></tr></table> <BR> <TABLE width="600" colspan=1><TR><TD><p> <font face="Arial, Helvetica" size=4>Each Section of this text is followed by four sets of exercises: <i>Exercises for Vocabulary</i> (to aid in reading and vocabulary in math), <i>Exercises for Computation</i> (regular drill and practice), <i>Exercises for Understanding</i> (to aid in building critical thinking processes), and a <i>Self-Test</i>. Each Unit (Chapter) is followed by <i>Problems for Problem Solving</i> (a collection of problems from science and industry applicable to the topics in that Unit).</font> <BR> <p><font face="Arial, Helvetica" size=4>Because of the emphasis on understanding, this is an outstanding text for teaching arithmetic concepts.</font></p> <BR> <p><font face="Arial, Helvetica" size=4>Available with <i>Critical Thinking Approach to Competency Arithmetic</i> is an <i>Instructor's Manual</i> and a <i>Test Kit</i>. Answers for some of the odd numbered exercises appear at the end of the student text while a set of complete answers appear in the <i>Instructor's Manual</i> for the text. </P></font> <font face="Arial, Helvetica" size=4>The <i>Instructor's Manual</i> contains teaching and testing hints, a possible schedule, and all answers including those to the <i>Exercises for Understanding and Problems for Problem Solving</i>. The <i>Test Kit</i> contains a Placement Test, four Criteria Referenced Unit Tests (one for each Chapter), and a Final. All tests have been developed using the suggestions and guidance of the<i> University of Chicago Testing Department</i>. These multiple-choice tests are designed to test mastery by students of the concepts.</font></td></tr></table></div> <br><BR><BR>; <div align="center"><table WIDTH="600" colspan="1" > <center> <img SRC="useca_WEB.jpg" ALT="Competency arithmetic Textbook." height=257 width=300> <BR><font face="Arial, Helvetica" size=-1>STUDYING FROM COMPETENCY ARITHMETIC</font></center></table></div> <BR><br> <a NAME="Testi"></a> <div align="center"><table WIDTH="600" colspan="1" ><tr><td> <font face="Arial, Helvetica" color="#FF6600" size="+2">TESTIMONOMIALS and CUSTOMER COMMENTS</font><BR><BR> <font face="Arial, Helvetica" size=4>"This is the way I wish I had originally learned arithmetic; I hate to admit that I never knew a definition for real numbers that students at this level could understand".<BR><BR> "A colleague visited my class and decided that she wanted to try a pilot in her school using this text." "Our school has enjoyed great student success using your <i>Critical Thinking Approach to Competency Arithmetic</i>. I am pleased to inform you that we will continue this adoption."<BR><BR> "We are excited to have been able to produce data about student success in this course. Student attitudes improved greatly which was the best result of using this text."</font></td></tr></table></div> <BR><BR> <div align=right><b><font face="Arial, Helvetica"><font color="#0000FF"><font size=+1><a href="#top">RETURN TO TOP</a></font></font></font></b></div> <div align="center"><table WIDTH="600" colspan="1" > <center> <img SRC="CA3Set_WEB.jpg" ALT="The texts for competency arithmetic." height=176 width=300 align=CENTER> <br><font face="Arial, Helvetica" size=-1>THE TEXTS FOR COMPETENCY ARITHMETIC</font></centwr> <br></table></div> <BR> <div><table><tr> <td COLSPAN="3" WIDTH="100%"></td> </tr> </table></center> <hr> <br> <hr> <br> <br> <center> <h3> <img SRC="elephant_WEB.jpg" height=409 width=400></h3></center>   <p>  <br>  <br>  <hr> <br> <hr> <br>  <a NAME="taofcont"></a> <tr> <td VALIGN=CENTER COLSPAN="2"> <h2> <font face="Arial, Helvetica"><font color="#FF6600">TABLE OF CONTENTS <i>for Critical Thinking Approach to Competency Arithmetic</i></font></font></h2</I></td></tr></table><br> <BR> <table BORDER=0 CELLSPACING=0 WIDTH="550" Align="center"><tr> <td VALIGN=CENTER COLSPAN="2"><b><font face="Arial, Helvetica"><font color="#FF6600"><font size=+0> CHAPTER 1 NUMBERS AND NOTATION</font></font></font></b></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION A </font></font></td> <td VALIGN= CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>SETS OF NUMBERS</font></font></td> </tr> <tr> <td VALIGN= CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION B</font></font></td> <td VALIGN= CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>NOTATION</font></font></td> </tr> <tr> <td VALIGN= CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION C </font></font></td> <td VALIGN= WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>NATURAL NUMBER FACTORS, DIVISORS, MULTIPLES</font></font></td> </tr> <tr> <td VALIGN= CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION D</font></font></td> <td VALIGN= CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>PRIMES, COMPOSITES, AND SPECIAL NUMBERS</font></font></td> </tr> <tr> <td VALIGN= CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION E</font></font></td> <td VALIGN= CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>WORD PROBLEMS</font></font></td> </tr> <td VALIGN= CENTER WIDTH="22%"></td><td VALIGN= CENTER WIDTH="70%"> <font face="Arial, Helvetica"><font size=+0>PROBLEMS FOR PROBLEM SOLVING </font></font></td></tr></TABLE> <table BORDER=0 CELLSPACING=0 WIDTH="550" Align="center"><tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td VALIGN=CENTER WIDTH="70%"><font size=+0> </font></td> </tr> <tr> <td VALIGN=CENTER COLSPAN="2"><b><font face="Arial, Helvetica"><font color="#FF6600"><font size=+0> CHAPTER 2 OPERATIONS WITH DECIMALS </font></font></font></b></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION A</font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>INTRODUCTION TO DECIMALS</font></font></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>SUBTRACTING DECIMALS</font></font></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>MULTIPLYING DECIMALS</font></font></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION D</font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>DIVIDING DECIMALS </font></font></td> </tr> <td VALIGN=CENTER WIDTH="22%"></td><td VALIGN=CENTER WIDTH="70%"> <font face="Arial, Helvetica"><font size=+0>PROBLEMS FOR PROBLEM SOLVING </font></font></td></tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td VALIGN=CENTER WIDTH="70%"><b><font size=+0> </font></b></td> </tr></Table> <table BORDER=0 CELLSPACING=0 WIDTH="550" Align="center"><tr> <td VALIGN=CENTER COLSPAN="2"><b><font face="Arial, Helvetica"><font color="#FF6600"><font size=+0> CHAPTER 3 OPERATIONS WITH FRACTIONS </font></font></font></b></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION A </font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>INTRODUCTION TO FRACTIONS </font></font></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>MULTIPLICATION AND DIVISION OF FRACTIONS</font></font></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>EQUIVALENT FRACTIONS</font></font></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION D </font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>MULTIPLICATION AND DIVISION OF FRACTIONS INVOLVING CANCELLATION </font></font></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION E </font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>ADDITION AND SUBTRACTION OF FRACTIONS </font></font></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION F </font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>COMPARING FRACTIONS </font></font></td> </tr> <td VALIGN=CENTER WIDTH="22%"></td><td VALIGN=CENTER WIDTH="70%"> <font face="Arial, Helvetica"><font size=+0>PROBLEMS FOR PROBLEM SOLVING </font></font></td></tr></Table> <table BORDER=0 CELLSPACING=0 WIDTH="550" Align="center"><tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td VALIGN=CENTER WIDTH="70%"><font size=+0> </font></td> </tr></Table> <table BORDER=0 CELLSPACING=0 WIDTH="550" Align="center"><tr> <td VALIGN=CENTER COLSPAN="2"><b><font face="Arial, Helvetica"><font color="#FF6600"><font size=+0> CHAPTER 4 PERCENTS </font></font></font></b></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION A</font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>INTRODUCTION TO PERCENT </font></font></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>MIXED NOTATION</font></font></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>OPERATIONS INVOLVING PERCENTS</font></font></td> </tr> <tr> <td VALIGN=CENTER WIDTH="22%"><font face="Arial, Helvetica"><font size=+0>SECTION D</font></font></td> <td VALIGN=CENTER WIDTH="70%"><font face="Arial, Helvetica"><font size=+0>SOLVING PROBLEMS INVOLVING PERCENTS</font></font></td> </tr> <td VALIGN=CENTER WIDTH="22%"></td><td VALIGN=CENTER WIDTH="70%"> <font face="Arial, Helvetica"><font size=+0>PROBLEMS FOR PROBLEM SOLVING </font></font></td></tr> <tr> <td VALIGN=CENTER WIDTH="22%"><b><font face="Arial, Helvetica"><font size=+0> </font></font></b></td> <td VALIGN=CENTER WIDTH="70%"><b><font size=+0> </font></b></td> </tr> <tr> <td VALIGN=CENTER COLSPAN="2"><b><font face="Arial, Helvetica"><font color="#FF6600"><font size=+0>ANSWERS TO ODD NUMBERED EXERCISES </font></font></font></b></td> </tr> </table> <!-****************** --> <!- Start of GEO & MEA Page --> <div align="center"><A NAME="top"></A> <TABLE CELLSPACING=0 BORDER=0 WIDTH=600 align="center"> <TR><TD VALIGN="MIDDLE" BGCOLOR="#ff0000" HEIGHT=20> <P> </TD> <TD VALIGN="MIDDLE" BGCOLOR="#ff0000" HEIGHT=20> <P> </TD></TR></TABLE></div> <BR> <TABLE width=650 align="center" border=0 colspan=1> <TR><TD align="center"><B><FONT FACE="Arial, Helvetica" align="center" SIZE=5 COLOR="#ff0000">ARITHMETIC TO ALGEBRA</FONT></TD></TR> <TR><TD align="center"><B><FONT FACE="Arial, Helvetica" align="center" SIZE=5 COLOR="#ff0000">THROUGH PRE-CALCULUS</FONT></TD></B></TR> <TR><TD align="center"><B><FONT FACE="Arial, Helvetica" align="center" SIZE=5 COLOR="#ff0000">TEXTBOOKS</FONT></B></TD></TR></Table> <BR><BR> <TABLE width=650 align="center" border=0 colspan=1> <TR><TD align="center"><FONT FACE="Arial, Helvetica" SIZE=6 COLOR="#ff0000" align="center"> CRITICAL THINKING APPROACH to</Font></TD></TR> <TR><TD align="center"><FONT FACE="Arial, Helvetica" SIZE=6 COLOR="#ff0000" align="center"> GEOMETRIC and MEASUREMENT TOPICS</FONT></B></TD></TR></Table><BR> <TABLE width=650 align="center" border=0 colspan=1> <TR><TD align="center"><B><FONT FACE="Arial, Helvetica" align="center" SIZE=4 COLOR="#ff0000"> Units 5 - 8</FONT></B></TD></TR></Table> <BR><BR> <div align="center"> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="#ff0000"> <tr> <td height="15"> </td> <td height="15"> </td> </tr> </table><BR> <table width="600" border="6" cellspacing="8" cellpadding="0" colspan="3"> <tr colspan="3"> <td width="30%" height="30" bgcolor="#ff0000" border="6" align="center"><font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Prices</font></a></b></td> <td width="35%" height="30" bgcolor="#ff0000" border="6" align="center"><A HREF="#Testi"> <font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Testimonials</font></a></b></td> <td width="35%" height="30" bgcolor="#ff0000" border="6" align="center"><A HREF="#content"><font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Table of Contents</font></a></b></td></TR></table><BR> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="#ff0000"> <tr> <td height="15"> </td> <td height="15"> </td> </tr> </table></div><BR><BR> <br><BR> <div ALIGN="CENTER" width="610"> <table WIDTH="600"><tr><td align="center"><font face="Arial, Helvetica" color="#FF0000" size="+2">ABOUT THIS TEXT</font></TD></TR></table> <table WIDTH="600"><tr><td align="center"><font face="Arial, Helvetica" color="#FF0000" size="4"> The <i>Text Critical Thinking Approach to Geometry & Measurement Topics </i>is recommended by Colleges, Universities, Secondary Schools, Home Schoolers, and Self Study Students because it emphasizes understanding,learning, and relearning of mathematical concepts as opposed to memorization. This practical course in Geometry fosters Student Success and enables the Teaching of math concepts because of the extra amount of time allowed to master these needed concepts.</P></font></td></tr> </P></TD></TR></table> <table WIDTH="600"><tr><td align="left"><font face="Arial, Helvetica" color="Black" size="4"> <P><i>Critical Thinking Approach to Geometry & Measurement Topics </i> contains the curriculum for a year Geometry math course normally taught in 10th grade or in a review sequence in college. Many students struggle with geometry through no fault of their own. Over stress on proving theorems in geometry courses has caused many students to have a frustrating experienced that can result in a loss of self-confidence. <i>Critical Thinking Approach to Geometry & Measurement Topics</i> features a comprehensive, step-by-step approach that simplifies complex concepts by breaking them up into bite- size pieces, using high quality illustrations, and providing real-life examples. Geometric facts are presented first leaving the proofs until after the concepts are understood. The mathematics is presented in an understandable way in order to maximize success in this course. The<i> Geometry & Measurement Topics </i>Text in the Arithmetic to Algebra through Pre-Calculus Series contains all necessary topics needed to understand Beginning Algebra. The complete Table of Contents for this text is presented at the bottom of this web-page. </P></TD></TR></Font></Table> <TABLE width="525" align="center" border=0 colspan=1> <TR><TD align="center"><FONT FACE="Arial, Helvetica" SIZE=4> If you wish to see another page on this web-site<BR>and the M.T.E. Site Map does not appear at the left of your screen <BR>Open the Link Shown Below:</font></TR></TD> <br><br> <TR><TD align="center"><FONT FACE="Arial, Helvetica" color="blue" SIZE=5> <a href="http://www.actionmathematics.com">Site Map</a></font></table></td></tr> <BR><BR> <TABLE width="600" colspan=1> <TR><TD><p><font face="Arial, Helvetica" size=4>Each Section of Geometric and Measurement Topics is followed by 4 sets of exercises: Exercises for Vocabulary (for reading and vocabulary development), Exercises for Computation (regular drill and practice exercises), Exercises for Understanding (to develop critical thinking skills), and a Self-Test. The Instructor's Manual contains Problems for Problem Solving (a collection of problems from science and industry applicable to the topics in that Unit.</font></p> <p><font face="Arial, Helvetica" size=4>Available with<i> Critical Thinking Approach to Geometric and Measurement Topics</i> Is an <i>Instructor's Manual</i> and a <i>Test Kit.</i> Answers for some of the odd numbered exercises appear at the end of the student text while the complete answers appear in the Instructor's Manual.</font></p> <p><font face="Arial, Helvetica" size=4>Because of the emphasis on understanding, this is an outstanding text for teaching geometric concepts.</font></p> <BR> <p><font face="Arial, Helvetica"><font size=4>The Instructor's Manual contains teaching and testing hints, possible schedule, the student copies for Problems for Problem Solving, and all answers to the Critical Thinking Exercises (Exercises for Understanding and Problems for Problem Solving).</font></p> <p><font face="Arial, Helvetica" size=4>The Test Kit contains a Placement Test, 4 Criteria Referenced Unit Tests (one for each Unit), and a Final. All tests have been developed using the suggestions and guidance of the University of Chicago Testing Department. These multiple-choice tests are designed to test mastery of the content by students.</font></td></tr> </table><br></div?> <div ALIGN="CENTER"> <img SRC="USG&M_WEB.jpg" height=222 width=300> <br><font face="Arial, Helvetica" SIZE=2>DOING HOMEWORK FROM GEOMETRIC AND MEASUREMENT TOPICS</font></div> <br><br> <a NAME="Testi"></a> <div ALIGN="CENTER"> <table BORDER=0 CELLSPACING=0 WIDTH="600"><tr> <td><font face="Arial, Helvetica" color="#FF0000" size="+2">TESTIMONIALS and CUSTOMER COMMENTS</font> <p><font face="Arial, Helvetica" size=4>"I was very pleased to find a Unit on logic in this text; this very important topic is not included in traditional texts. Introducing mathematical logic (the same as that used in electronics to program computers) at this level not only gives students an understanding and use of a powerful tool in science, but gives them advanced preparation for life in the computer age."</font></p> <p><font face="Arial, Helvetica" size=4>"I was not aware that College Entrance Exams and Calculus did not require a full year of geometry in order to be able to complete these successfully."</font></p> <p><font face="Arial, Helvetica" size=4>"Teaching geometry from a practical viewpoint first makes a large difference in a student's ability to understand this subject. I was glad to learn that there is NO X-step proof; that proofs should only be as long as needed to convince the audience. The number of steps doesn't matter."</font></p> <p><font face="Arial, Helvetica" size=4>"Our school has enjoyed great student success using Critical Thinking Approach to Geometric and Measurement Topics. The attitudes of our students improved which we had not expected."</font></p></TD></TR></table></div> <div align=right><b><font face="Arial, Helvetica"><font size=+1><a href="#top">RETURN TO TOP</a></font></font></b></div> <center><img SRC="Pic3SetGM_WEB.jpg" height=166 width=300> <br><font face="Arial, Helvetica" size=-1>THE TEXTS FOR GEOMETRIC AND MEASUREMENT TOPICS</font></center> <hr> <br> <hr><BR><BR> <center><img SRC="Weather_WEB.jpg" height=280 width=300> <br><a NAME="content"></a></center><BR><BR> <table BORDER=0 CELLSPACING=0 WIDTH="480" COLSPAN="3" Align="center"> <a NAME="content"></a> <tr> <td VALIGN=CENTER COLSPAN="2"> <h2> <i><font face="Arial, Helvetica"><font color="#FF0000">TABLE OF CONTENTS for Critical Thinking Approach to Geometric and Measurement Topics</font></font></i></h2> </td> </tr> <tr> <td VALIGN=CENTER COLSPAN="2"><b><i><font face="Arial, Helvetica"><font color="#FF0000"><font size=+0>UNIT 5 GEOMETRY</font></font></font></i></b></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION A </font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>POINT, LINE AND PLANE</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION B</font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>ANGLES AND LINES</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION C </font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>TRIANGLES</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION D</font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>POLYGONS AND CIRCLES</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION E</font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>CONGRUENT AND SIMILAR TRIANGLES</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0> </font></font></i></td> <td VALIGN=CENTER WIDTH="86%"> </td> </tr> <tr> <td VALIGN=CENTER COLSPAN="2"><b><i><font face="Arial, Helvetica"><font color="#FF0000"><font size=+0>UNIT 6 METRIC MEASUREMENT </font></font></font></i></b></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION A</font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>MEASUREMENT PROCESS</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>LENGTH</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>VOLUME</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION D</font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>AREA</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION E</font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>CAPACITY, TEMPERATURE, AND WEIGHT</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0> </font></font></i></td> <td VALIGN=CENTER WIDTH="86%"> </td> </tr> <tr> <td VALIGN=CENTER COLSPAN="2"><b><i><font face="Arial, Helvetica"><font color="#FF0000"><font size=+0>UNIT 7 LOGIC</font></font></font></i></b></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION A </font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>REASONING OF MAN</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>SETS</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>MATHEMATICAL LOGIC</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION D </font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>LOGIC PROOF </font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION E </font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>DEDUCTIVE SYSTEM OF GEOMETRY </font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0> </font></font></i></td> <td VALIGN=CENTER WIDTH="86%"> </td> </tr> <tr> <td VALIGN=CENTER COLSPAN="2"><b><i><font face="Arial, Helvetica"><font color="#FF0000"><font size=+0>UNIT 8 DATA MEASUREMENT</font></font></font></i></b></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION A</font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>TABLES</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>BAR GRAPHS </font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>CIRCLE GRAPHS AND PICTOGRAPHS</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION D</font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>BROKEN AND CONTINUOUS GRAPHS</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION E</font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>MEASURES OF CENTRAL POSITION</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0>SECTION F</font></font></i></td> <td VALIGN=CENTER WIDTH="86%"><i><font face="Arial, Helvetica"><font size=+0>MEASURES OF VARIATION</font></font></i></td> </tr> <tr> <td VALIGN=CENTER WIDTH="23%"><i><font face="Arial, Helvetica"><font size=+0> </font></font></i></td> <td VALIGN=CENTER WIDTH="86%"> </td> </tr> <tr> <td VALIGN=CENTER COLSPAN="2"><b><i><font face="Arial, Helvetica"><font color="#FF0000"><font size=+0>ANSWERS TO ODD NUMBERED EXERCISES </font></font></font></i></b></td> </tr> </table></div> <!-****************** --> <!- Start of Beg Alg Page --> <div align="center"><a name="top"></a> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="#663390"> <tr> <td height="20"> </td> <td height="20"> </td> </tr> </table></div> <div align="center"> <TABLE width=600 align="center" border=0 colspan=1> <BR><TR><TD align="center"><B><FONT FACE="Arial, Helvetica" align="center" SIZE=5 COLOR="#663390">ARITHMETIC TO ALGEBRA</FONT></TD></TR> <TR><TD align="center"><B><FONT FACE="Arial, Helvetica" align="center" SIZE=5 COLOR="#663390">THROUGH PRE-CALCULUS</FONT></TD></B></TR> <TR><TD align="center"><B><FONT FACE="Arial, Helvetica" align="center" SIZE=5 COLOR="#663390">TEXTBOOKS</FONT></TD></B></TR> </TABLE><BR> <TABLE width=600 align="center" border=0 colspan=1> <TR><TD align="center"><FONT FACE="Arial, Helvetica" SIZE="6" COLOR="663390"> <b>CRITICAL THINKING APPROACH</TD></TR></B> <TR><TD align="center"><FONT FACE="Arial, Helvetica" SIZE="6" COLOR="663390"><B> to BEGINNING ALGEBRA<br></B></FONT></TD></TR> <TR><TD align="center"><font face="Arial, Helvetica" color="#663390" size=+2> Second Printing</font></b></TD></TR></table> <div align="center"><a name="top"></a> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="#663390"> <tr> <td height="20"> </td> <td height="20"> </td> </tr> </table></div> <TABLE width=600 align="center" border=0 colspan=1> <BR><TR><TD width="300" align="LEFT"><img SRC="NEW.JPG" height=150 width=250></TD> <TD width="300" align="right"><b><font FACE="Arial, Helvetica" SIZE="3" COLOR="663390">Units 9 - 15</font></b></TD></TR></TABLE> <div align="center"> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="#663390"> <tr> <td height="15"> </td> <td height="15"> </td> </tr> </table><BR> <table width="600" border="6" cellspacing="8" cellpadding="0" colspan="3"> <tr colspan="3"> <td width="30%" height="30" bgcolor="#663390" border="6" align="center"><font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Prices</font></a></b></td> <td width="35%" height="30" bgcolor="#663390" border="6" align="center"><A HREF="#Testi"> <font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Testimonials</font></a></b></td> <td width="35%" height="30" bgcolor="#663390" border="6" align="center"><A HREF="#content"><font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Table of Contents</font></a></b></td></TR></table><BR> <div align="center"> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="#663390"> <tr> <td height="15"> </td> <td height="15"> </td> </tr> </table></div><BR><BR> <div align="center"><table WIDTH="600" colspan="1" > <tr><td><font face="Arial, Helvetica" color="#663395" size="+2">ABOUT THIS TEXT</font><BR> <br><font face="Arial, Helvetica" color="#000000" size=4>The <i>Text Critical Thinking Approach to Beginning Algebra </i> (First Year Algebra) is recommended by Colleges, Universities, Secondary Schools, Home Schoolers, and Self Study Students because it emphasizes understanding, learning, and relearning of mathematical concepts as opposed to memorization. This Algebra 1 textbook fosters Student Success and enables the Teaching of math concepts because of the extra amount of time allowed to master these needed concepts. </font></P></TD></TR></Table><BR> <table WIDTH="600" colspan="1" > <tr><td><font face="Arial, Helvetica" color="#000000" size=4> <P><i>Critical Thinking Approach to Beginning Algebra</i> has been recommended as the text for Beginning Algebra by schools. homeschoolers, and for self study when learning and understanding Algebra is the main objective. Recommended for students want to understand and learn beginning algebra concepts as opposed to memorizing them. Available soon will be a new additional Chapter on "Introduction to Linear Algebra" on a separate PDF File. This topic is becoming critical for students needing to know about our changing world because of Quantum Mechanics.</font></P></TD></TR></Table> <BR> <table WIDTH="600" colspan="1" > <tr><td><font face="Arial, Helvetica" color="#000000" size=4> <P><i>Critical Thinking Approach to Beginning Algebra</i> contains the curriculum for a first year Algebra math course normally taught in 9th grade or in a review sequence in college. Many students struggle with algebra through no fault of their own. Algebra has its own unique language and set of rules, and the frustration experienced by algebra students can result in a loss of self-confidence. <i>Critical Thinking Approach to Beginning Algebra</i> features a comprehensive, step-by-step approach that simplifies complex concepts by breaking them up into bite-size pieces, using high quality illustrations, and providing real-life examples. The mathematics is presented in an understandable way in order to maximize success in this course. The<i> Beginning Algebra </i>Text in the Arithmetic to Algebra through Pre-Calculus Series contains all necessary topics needed to understand Probability and Statistics or Intermediate Algebra. The complete Table of Contents for this text is presented at the bottom of this web-page. </font></P></TD></TR></Table><BR> <TABLE width="525" align="center" border=0 colspan=1> <TR><TD align="center"><FONT FACE="Arial, Helvetica" SIZE=4> If you wish to see another page on this web-site<BR>and the M.T.E. Site Map does not appear at the left of your screen <BR>Open the Link Shown Below:</font></TR></TD> <br><br> <TR><TD align="center"><FONT FACE="Arial, Helvetica" color="blue" SIZE=5> <a href="http://www.actionmathematics.com">Site Map</a></font></td></tr></table> <BR><BR> <TABLE width="600" colspan=1><TR><TD><p><font face="Arial, Helvetica" color="#000000" size=4>Each Section of <i>Critical Thinking Approach to Beginning Algebra</i> is followed by 4 sets of exercises: <i>Exercises for Vocabulary (for reading and vocabulary development), Exercises for Computation (regular drill and practice exercises), Exercises for Understanding (to develop critical thinking skills)</i>, and a<i> Self-Test</i>. The <i>Instructor's Manual</i> contains <i>Problems for Problem Solving</i> (a collection of problems from science and industry applicable to the topics in that Unit).<BR><BR> Because of the emphasis on understanding, this is an outstanding text for teaching algebra or algebraic concepts. <BR><BR> Available with <i>Critical Thinking Approach to Beginning Algebra</i> is an<i> Instructor's Manual</i> and a <i>Test Kit</i>. Answers for some of the odd numbered exercises appear at the end of the text while the complete answers appear in the <i>Instructor's Manual</i> for the text.</font></td></tr> </table><BR> <table WIDTH="600" colspan="1" ><tr><td> <font face="Arial, Helvetica" size=4>The <i>Instructor's Manual</i> contains teaching and testing hints, a possible schedule, the student copies for <i>Problems for Problem Solving</i>, and all answers including those to the <i>Exercises for Understanding</i> and <i>Problems for Problem Solving</i>. The <i>Test Kit</i> contains a Placement Test, 7 Criteria Referenced Unit Tests (one for each Unit), and a Final. All tests have been developed using the suggestions and guidance of the <i>University of Chicago Testing Department</i>. These multiple-choice tests are designed to test mastery by students of the content in the text.</font></td></tr></table><BR><BR <center><img SRC="UseBA_WEB.jpg" ALT="Home schooling with beginning algebra." BORDER=1 height=265 width=300 align=CENTER> <br><font face="Arial, Helvetica" size=-1>HOME SCHOOLING WITH BEGINNING ALGEBRA</font></center><BR><BR> <table WIDTH="600" colspan="1"><a NAME="Testi"></a> <TR><TD><font face="Arial, Helvetica" color="#663395" size="+2">TESTIMONIALS and CUSTOMER COMMENTS</font></TD></TR> <TR><TD><font face="Arial, Helvetica" color="000000" size=4>"Some of the features of this text that we found particularly helpful to our students were the raised negative sign in polynomial subtraction - (polynomial) changed to -1(polynomial)."</font></TD></TR><BR> <TR><TD><font face="Arial, Helvetica" color="000000" size=4>"Stress on equivalent equations made students more aware of multiple forms of the same equation, and far fewer homework questions about specific algorithms, instead, questions were asked about concepts involved."</font></TD></TR><BR> <TR><TD><font face="Arial, Helvetica" color="000000" size=4>"I was very pleased that a "live person" was available to answer my questions at this web site."</font></TD></TR><BR> <TR><TD><font face="Arial, Helvetica" color="000000" size=4>"The A, B, or C grades of our students improved to 62% from 43% and the dropout or did not attend class went down to 12% from 28%. Our students were also better prepared to work with literal equations."</font></TD></TR></Table></div> <div align=right><b><font face="Arial, Helvetica"><font size=+1><a href="#top">RETURN TO TOP</a></font></font></b></div><BR><BR> <center><img SRC="Pic3SetBA_WEB.jpg" ALT="The text for beginning algebra." BORDER=1 height=192 width=300 align=CENTER> <br><font face="Arial, Helvetica, align="><font size=-1>THE TEXTS FOR BEGINNING ALGEBRA</font></font></center> <BR><BR><HR><BR><HR><BR> <table BORDER=0 CELLSPACING=0 WIDTH="480" Align="center"> <br><BR><HR><BR><HR><BR> <center> <p><img SRC="ProfBd_WEB.jpg" BORDER=1 height=280 width=360 align=CENTER></center> <p><a NAME="content"></a> <br>  <center><table BORDER=0 CELLSPACING=0 WIDTH="480"> <tr> <td COLSPAN="2" HALIGN="MIDDLE"> <h2><font face="Arial, Helvetica, sans-serif"><font color="#663395">TABLE OF CONTENTS <i>for Critical Thinking Approach to Beginning Algebra</i></font></font></h2> </td> </tr> <tr> <td COLSPAN="3"><b><font face="Arial, Helvetica, sans-serif"><font color="#663395"><font size=+0>UNIT 9 INTEGERS & OPERATIONS WITH INTEGERS</font></font></font></b></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION A </font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>INTRODUCTION TO INTEGERS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION B </font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>ADDITION OF INTEGERS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION C</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>SUBTRACTION OF INTEGERS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION D </font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>MULTIPLICATION OF INTEGERS </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION E</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>DIVISION OF INTEGERS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION F</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>ABSOLUTE VALUE </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0> </font></font></td> <td WIDTH="400"></td> </tr> <tr VALIGN=TOP> <td COLSPAN="2"><b><font face="Arial, Helvetica, sans-serif"><font color="#663395"><font size=+0>UNIT 10 BASIC NUMBER THEORY</font></font></font></b></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION A</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>PRIMES AND COMPOSITES</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION B </font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>FUNDAMENTAL THEOREM OF ARITHMETIC</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION C</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>EXPONENTIAL NOTATION</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION D</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>COMPARING INTEGERS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION E</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>LEAST COMMON MULTIPLE</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0> </font></font></td> <td WIDTH="400"></td> </tr> <tr VALIGN=TOP> <td COLSPAN="2"><b><font face="Arial, Helvetica, sans-serif"><font color="#663395"><font size=+0>UNIT 11 RATIONAL NUMBERS</font></font></font></b></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION A </font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>INTRODUCTION TO RATIONAL NUMBERS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION B </font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>MULTIPLYING RATIONAL NUMBERS </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION C</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>DIVISION OF RATIONAL NUMBERS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION D </font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>THREE SIGNS OF A FRACTION</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION E </font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>ADDITION AND SUBTRACTION OF RATIONAL NUMBERS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0> </font></font></td> <td WIDTH="400"></td> </tr> <tr VALIGN=TOP> <td COLSPAN="2"><b><font face="Arial, Helvetica, sans-serif"><font color="#663395"><font size=+0>UNIT 12 ALGEBRAIC EXPRESSIONS & EXPONENTS</font></font></font></b></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION A</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>EVALUATION OF ALGEBRAIC EXPRESSIONS </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION B </font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>BASIC TERMS AND DEFINITION OF ALGEBRA </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION C</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>THE BASIC AXIOMS OF ALGEBRA </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION D</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>POSITIVE EXPONENTS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION E</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>EXPONENTIAL LAWS FOR MULTIPLYING AND DIVIDING </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0> </font></font></td> <td WIDTH="400"></td> </tr> <tr VALIGN=TOP> <td COLSPAN="2"><b><font face="Arial, Helvetica, sans-serif"><font color="#663395"><font size=+0>UNIT 13 POLYNOMIALS </font></font></font></b></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION A</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>INTRODUCTION TO POLYNOMIALS </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION B</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>ADDITION OF POLYNOMIALS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION C</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>SUBTRACTION OF POLYNOMIALS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION D</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>MULTIPLICATION OF POLYNOMIALS </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION E</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>DIVISION OF POLYNOMIALS </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION F</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>COMMON MONOMIAL FACTORS </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0> </font></font></td> <td WIDTH="400"></td> </tr> <tr VALIGN=TOP> <td COLSPAN="2"><b><font face="Arial, Helvetica, sans-serif"><font color="#663395"><font size=+0>UNIT 14 LINEAR EQUATIONS AND INEQUALITIES</font></font></font></b></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION A</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>MEANINGFUL STATEMENTS AND SOLUTION SETS </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION B</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>EQUIVALENT STATEMENTS </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION C</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>SOLVING LINEAR EQUATIONS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION D</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>SOLVING LINEAR INEQUALITIES</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION E</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>SOLVING LITERAL EQUATIONS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION F</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>RATIO AND PROPORTION </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"> </td> <td WIDTH="400"> </td> </tr> <tr VALIGN=TOP> <td COLSPAN="2"><b><font face="Arial, Helvetica, sans-serif"><font color="#663395"><font size=+0>UNIT 15 LINEAR SYSTEMS</font></font></font></b></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION A</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>THE RECTANGULAR COORDINATE SYSTEM </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION B</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>GRAPHS OF LINEAR STATEMENTS </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION C</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>SYSTEMS OF LINEAR EQUATIONS</font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION D</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>SOLVING SYSTEMS USING SUBSTITUTION AND REPLACEMENT </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"><font face="Arial, Helvetica, sans-serif"><font size=+0>SECTION E</font></font></td> <td WIDTH="400"><font face="Arial, Helvetica, sans-serif"><font size=+0>SOLVING LINEAR SYSTEMS USING LINEAR OPERATIONS </font></font></td> </tr> <tr VALIGN=TOP> <td WIDTH="105"> </td> <td WIDTH="400"> </td> </tr> <tr VALIGN=TOP> <td COLSPAN="2"><b><font face="Arial, Helvetica, sans-serif"><font color="#663395"><font size=+0>ANSWERS TO ODD NUMBERED EXERCISES </font></font></font></b></td> </tr> </table></center> </div> <!-****************** --> <!- Start of Int Alg Page ->- <!doctype html public "-//w3c//dtd html 4.01 Frameset//en">   <html> <head> <meta name="generator" content="BBEdit6.5"> <title>Arithmetic to Algebra through Pre-Calculus; Mathematics Texts for High School and College</title> <meta name="description" content="Arithmetic to Algebra through Pre-Calculus are Mathematics Textbooks for High School and College. These texts are designed to increase understanding and success of algebra, arithmetic, geometry and pre-calculus. These texts are designed to increase critical thinking and problem solving, reducing memorization. The Critical Thinking Texts are useful in school or home schooling, from middle school to college." /> <META name="KEYWORDS" content="algebra help, understanding textbook for algebra, teaching algebra, success in algebra, learning algebra, critical thinking in algebra, enjoying algebra, algebra texts, understanding algebra, college algebra, pre-calculus help, understanding textbook for pre-calculus, teaching pre-calculus, pre-calculus. pre calculus, success in pre-calculus, learning pre-calculus, critical thinking in pre-calculus, geometry help, understanding textbook for geometry, teaching geometry, success in geometry, arithmetic, arithmetic reasoning, arithmetic ans algebra, learning geometry, critical thinking in geometry, rational algebraic functions, textbook for learning mathematics, action mathematics, math text series, high school mathematics, high school mathematics textbooks, problem solving, logic, functions, home schooling, trigonometry, trigonometry vocabulary, trig, CLEP, G.E.D., statistics, vocabulary, quadratic trinomials. radicals, algebraic functions, rational algebraic functions, professional development, SAT, building thinking skills, Arithmetic to Algebra through Pre-Calculus, Mathematics Texts for High School and College"> <link href="/> <meta name="rating" content="general"> <meta name="revisit-after" content="10 days"> <meta name="robots" content="all"> <meta http-equiv="content-type" content="text/html; charset=iso-8859-1"> </head> <body bgcolor="#FFFFFF" width="600"> <div align="center"><a name="top"></a> <table BORDER=0 CELLSPACING=0 CELLPADDING=0 WIDTH="600" BGCOLOR="#008000"> <tr> <td HEIGHT="20"> </td> <td HEIGHT="20"> </td> </tr> </table> <TABLE width=550 align="center" border=0 colspan=1> <BR><TR><TD align="center"><B><FONT FACE="Arial, Helvetica align="center" SIZE=5 COLOR="#008000">ARITHMETIC TO ALGEBRA</FONT></TD></TR> <TR><TD align="center"><B><FONT FACE="Arial, Helvetica align="center" SIZE=5 COLOR="#008000">THROUGH PRE-CALCULUS</FONT></TD></B></TR> <TR><TD align="center"><B><FONT FACE="Arial, Helvetica align="center" SIZE=5 COLOR="#008000">TEXTBOOKS</FONT></TD></B></TR> </TABLE><BR> <p><div align="center"><b><font face="Arial, Helvetica"><font color="#008000"><font size=+3>CRITICAL THINKING APPROACH</font></font></font></b> <br><b><font face="Arial, Helvetica" color="#008000" size=+3>to INTERMEDIATE ALGEBRA</font></b> <center><b><font face="Arial, Helvetica" color="#008000" width=50 height=20 size=+2> Second Printing</font></b></center> <TABLE width=550 border=0 colspan=2> <BR><TR><TD align="LEFT"><img SRC="NEW.JPG" height=150 width=300></TD> <TD align="left"><b><font face="Arial, Helvetica" color="#008000" width=50 height=20 size=+2> Units 16 - 22</font></b></TD></TR></Table> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="#008000"> <tr> <td height="15"> </td> <td height="15"> </td> </tr> </table><BR> <table width="600" border="6" cellspacing="8" cellpadding="0" colspan="3"> <tr colspan="3"> <td width="30%" height="30" bgcolor="#008000" border="6" align="center"><A HREF="#price"><font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Prices</font></a></b></td> <td width="35%" height="30" bgcolor="#008000" border="6" align="center"><A HREF="#Testi"> <font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Testimonials</font></a></b></td> <td width="35%" height="30" bgcolor="#008000" border="6" align="center"><A HREF="#content"><font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Table of Contents</font></a></b></td></TR></table><BR> <div align="center"> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="#008000"> <tr> <td height="15"> </td> <td height="15"> </td> </tr> </table></div><BR><BR> <br><BR> div align="center"><table WIDTH="600" colspan="1" ><tr> <td><font face="Arial, Helvetica, sans-serif" color="#008000" size="+2">ABOUT THIS TEXT</font><BR> <table WIDTH="600"><tr> <td align="left"><p><font face="Arial, Helvetica" color="#000000" size=4><i><The <i> Text Critical Thinking Approach to Intermediate Algebra </i> (Second Year Algebra) is recommended by Colleges, Universities, Secondary Schools, Home Schoolers, and Self Study Students because it emphasizes understanding, learning, and relearning of mathematical concepts as opposed to memorization. This Algebra 2 textbook fosters Student Success and enables the Teaching of math concepts because of the extra amount of time allowed to master these needed concepts.</TD> <TD><P><i>Critical Thinking Approach to Intermediate Algebra </i> contains the curriculum for the second year algebra math course normally taught in 11th grade or in a review sequence in college. Many students struggle with algebra through no fault of their own. Second Year Algebra has its own unique language and set of rules, and the frustration experienced by algebra students can result in a loss of self-confidence. <i>Critical Thinking Approach to Intermediate Algebra</i> features a comprehensive, step-by-step approach that simplifies complex concepts by breaking them up into bite-size pieces, using high quality illustrations, and providing real-life examples. The <I>Critical Thinking Approach to Intermediate Algebra</i> has a unique approach to factoring quadratic equations that removes much of the guessing found in the traditional approach. The mathematics is presented in an understandable way in order to maximize success in this course. The<i> Intermediate Algebra </i>Text in the Arithmetic to Algebra through Pre-Calculus Series contains all necessary topics needed to understand Pre-Calculus or Advanced Algebra. The complete Table of Contents for this text is presented at the bottom of this web-page. </font></P></TD></TR></Table><BR> <TABLE width="525" align="center" border=0 colspan=1> <TR><TD align="center"><FONT FACE="Arial, Helvetica" SIZE=4> If you wish to see another page on this web-site<BR>and the M.T.E. Site Map does not appear at the left of your screen <BR>Open the Link Shown Below:</font></TR></TD> <br><br> <TR><TD align="center"><FONT FACE="Arial, Helvetica" color="blue" SIZE=5> <a href="http://www.actionmathematics.com">Site Map</a></font></td></tr></table> <BR><BR> <TABLE width="600" colspan=1> <TR><TD><p><font face="Arial, Helvetica" color="#000000" size=4><i>Each Unit in Critical Thinking Approach to Intermediate Algebra</i> contains 4 sets of exercises: <i>Exercises for Vocabulary (for reading and vocabulary development), Exercises for Computation (regular drill and practice exercises), Exercises for Understanding (to develop critical thinking skills)</i>, and a<i> Self-Test</i>. The <i>Instructor's Manual</i> contains <i>Problems for Problem Solving</i> (a collection of problems from science and industry applicable to the topics in that Unit).</font></p><BR> <p><font face="Arial, Helvetica" size=4>Because of the emphasis on understanding, this is an outstanding text for teaching algebra and algebraic concepts.</font></p> <BR> <p><font face="Arial, Helvetica" color="#000000" size=4>Available with <i>Critical Thinking Approach to Intermediate Algebra</i> is an <i>Instructor's Manual </i>and a <i>Test Kit</i>. Answers for some of the odd numbered exercises appear at the end of the text while the complete answers appear in the <i>Instructor's Manual</i> for the text.</font></p> <p><font face="Arial, Helvetica" color="#000000" size=4>The <i>Instructor's Manual</i> contains teaching and testing hints, possible schedule, the student copies for <i>Problems for Problem Solving</i>, and the answers including those to the <i>Exercises for Understanding</i> and <i>Problems for Problem Solving</i>. </font></p> <p><font face="Arial, Helvetica" color="#000000" size=4>The <i>Test Kit</i> contains a Placement test, 7 Criteria Referenced Unit Tests (one for each Unit), and a Final. All tests have been developed using the suggestion and guidance of the <i>University of Chicago Testing Department</i>. These multiple-choice tests are designed to test mastery of the content by students.</font></p></td></tr> </table> <center><img SRC="UseIA_WEB.jpg" ALT="Home schooling with intermediate algebra." height=235 width=400><BR> <font face="Arial, Helvetica"size=-1>HOME SCHOOLING USING INTERMEDIATE ALGEBRA</font></center></div> <a NAME="Testi"></a> <div align="center"><table WIDTH="600" align="center" colspan="1" ><tr><td> <br><font face="Arial, Helvetica" color="#008000" size="+2">TESTIMONIALS and CUSTOMER COMMENTS</font> <p><font face="Arial, Helvetica" size=4>"Students enjoyed the method of completing the square presented and were better prepared to understand and use the quadratic formula. Students had few problems with factoring and the technique for factoring trinomials with coefficients greater than one eliminated the usual problems encountered by students."</font></p> <p><font face="Arial, Helvetica" size=4>"Students had an unusually good command of math vocabulary because of the Exercises for Vocabulary: students understood the content and were able to give examples when asking questions. The Mean MAA Test score rose from .459 to .607."</font></p> <p><font face="Arial, Helvetica" size=4>"The methods for factoring quadratic trinomials is the best presentation I have ever seen. Students really understood what they were doing, consequently enjoyed this topic."</font></p> <p><font face="Arial, Helvetica" size=4>"This company honestly knows what "customer service" is and what it means to an individual customer."</font></p> <div align=right><b><font face="Arial, Helvetica"><font size=+1><a href="#top">RETURN TO TOP</a></font></font></b></div> <center><img SRC="Pic3SetIA_WEB.jpg" ALT="The text for intermediate algebra." height=197 width=400> <br><font face="Arial, Helvetica" size=-1>THE TEXTS FOR INTERMEDIATE ALGEBRA</font></td></tr></table></div> <br><BR><hr><BR><HR><BR><BR> <center><img SRC="Shadow_WEB.jpg" height=348 width=480></center> <a NAME="content"></a>  <center><table BORDER=0 CELLSPACING=0 WIDTH="480" > <caption> </caption> <tr> <td COLSPAN="2" HALIGN="MIDDLE"> <h2> <font face="Arial, Helvetica"><font color="#008000">TABLE OF CONTENTS for <i>Critical Thinking Approach to Intermediate Algebra</i></font></font></h2> </td> </tr> <tr> <td COLSPAN="2" WIDTH="480"><b><font face="Arial, Helvetica"><font color="#008000"><font size=+0>UNIT 16 RADICALS </font></font></font></b></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION A </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>SUBSETS OF REAL NUMBERS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>INTRODUCTION TO RADICALS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION C </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>MULTIPLICATION OF RADICALS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION D </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>ADDITION OF RADICALS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION E </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>FRACTIONS INVOLVING RADICALS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION F </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>EQUATIONS INVOLVING RADICALS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0> </font></font></td> </tr> <tr> <td COLSPAN="2" WIDTH="480"><b><font face="Arial, Helvetica"><font color="#008000"><font size=+0>UNIT 17 POLYNOMIAL OPERATIONS</font></font></font></b></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION A </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>PROPERTIES AND CLASSIFICATIONS OF POLYNOMIALS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>ADDITION OF POLYNOMIALS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION C </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>MULTIPLICATION OF POLYNOMIALS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION D </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>COMMON MONOMIAL FACTORS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="336"> </td> </tr> <tr> <td COLSPAN="2" WIDTH="480"><b><font face="Arial, Helvetica"><font color="#008000"><font size=+0>UNIT 18 FACTORIZATION OF QUADRATIC POLYNOMIALS</font></font></font></b></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION A </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>PRIME AND COMPOSITE POLYNOMIALS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>SPECIAL POLYNOMIALS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION C </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>FACTORING TRINOMIALS WITH LEADING COEFFICIENT EQUAL TO ONE </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION D </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>FACTORING TRINOMIALS WITH LEADING COEFFICIENT GREATER THAN ONE </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION E </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>COMBINATIONS OF FACTORING TECHNIQUES </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="336"> </td> </tr> <tr> <td COLSPAN="2" WIDTH="480"><b><font face="Arial, Helvetica"><font color="#008000"><font size=+0>UNIT 19 SOLVING QUADRATIC EQUATIONS</font></font></font></b></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION A </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>FACTORS AND ZEROS OF POLYNOMIALS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>COMPLETING THE SQUARE </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION C </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>QUADRATIC FORMULA AND DISCRIMINANT </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION D </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>PRIME TRINOMIALS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="336"> </td> </tr> <tr> <td COLSPAN="2" WIDTH="480"><b><font face="Arial, Helvetica"><font color="#008000"><font size=+0>UNIT 20 RATIONAL EXPONENTS</font></font></font></b></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION A </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>INTEGRAL EXPONENTS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>EXPONENTIAL COMPUTATION </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION C </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>RATIONAL EXPONENTS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION D </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>MULTIPLICATION OF POLYNOMIALS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION E </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>OPERATIONS INVOLVING EXPONENTIALS WITH RATIONAL EXPONENTS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="336"> </td> </tr> <tr> <td COLSPAN="2" WIDTH="480"><b><font face="Arial, Helvetica"><font color="#008000"><font size=+0>UNIT 21 RATIONAL EXPRESSIONS</font></font></font></b></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION A </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>INTRODUCTION TO RATIONAL EXPRESSIONS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>MULTIPLYING AND DIVIDING RATIONAL EXPRESSIONS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION C </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>THREE SIGNS OF A RATIONAL EXPRESSION </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION D </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>ADDITION & SUBTRACTION OF RATIONAL EXPRESSIONS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION E </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>EQUATIONS INVOLVING RATIONAL EXPRESSIONS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="336"> </td> </tr> <tr> <td COLSPAN="2" WIDTH="480"><b><font face="Arial, Helvetica"><font color="#008000"><font size=+0>UNIT 22 QUADRATIC COMPLEX NUMBERS</font></font></font></b></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION A </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>INTRODUCTION TO COMPLEX NUMBERS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>GRAPHING, ADDING, & MULTIPLYING COMPLEX NUMBERS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION C </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>CONJUGATE, ABSOLUTE VALUE, AND DIVISION OF COMPLEX NUMBERS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION D </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>EQUATIONS INVOLVING COMPLEX NUMBERS </font></font></td> </tr> <tr> <td WIDTH="144"><font face="Arial, Helvetica"><font size=+0>SECTION E </font></font></td> <td WIDTH="336"><font face="Arial, Helvetica"><font size=+0>DISTANCES OF POINTS IN PLANES </font></font></td> </tr> <tr> <td WIDTH="144"> </td> <td WIDTH="336"> </td> </tr> <tr> <td COLSPAN="2" WIDTH="480"><b><font face="Arial, Helvetica"><font color="#008000"><font size=+0>ANSWERS TO ODD NUMBERED EXERCISES</font></font></font></b></td> </tr> </table></center> </div> <!-****************** --> <!- Start of Pre-Cal Page --> <center><table BORDER=0 CELLSPACING=0 WIDTH="600" > <tr> <td VALIGN=CENTER HEIGHT="20" BGCOLOR="#0000FF"> </td> <td VALIGN=CENTER HEIGHT="20" BGCOLOR="#0000FF"> </td> </tr> </table></center> <TABLE width=550 align="center" border=0 colspan=1> <BR><TR><TD align="center"><B><FONT FACE="Arial, Helvetica align="center" SIZE=5 COLOR="blue">ARITHMETIC TO ALGEBRA</FONT></TD></TR> <TR><TD align="center"><B><FONT FACE="Arial, Helvetica align="center" SIZE=5 COLOR="blue">THROUGH PRE-CALCULUS</FONT></TD></B></TR> <TR><TD align="center"><B><FONT FACE="Arial, Helvetica align="center" SIZE=5 COLOR="blue">TEXTBOOKS</FONT></TD></B></TR> </TABLE><BR> <TABLE width=550 align="center" border=0 colspan=1> <TR><TD align="Center"><b><font face="Arial, Helvetica"><font color="#0000FF"><font size=+3>CRITICAL THINKING APPROACH</font></font></font></b></TD></TR> <TR><TD align="Center"><br><b><font face="Arial, Helvetica"><font color="#0000FF"><font size=+3>to PRE-CALCULUS</font></font></font></b></TD></TR> <TR><TD align="center"><font face="Arial, Helvetica" color="#0000FF" width=50 height=20 size=+2> Second Edition</font></b></TD></TR></TABLE> <TABLE width=600 align="center" border=0 colspan=1> <BR><TR><TD width="300" align="LEFT"><img SRC="NEW.JPG" height=150 width=250></TD> <TD width="300" align="right"><b><font FACE="Arial, Helvetica" SIZE="3" COLOR="663390">Units 23 - 30 <BR>Chapters 1 - 8</font></b></TD></TR></TABLE></div> <div align="center"><table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="blue"> <tr align="center" > <td height="15"> </td> <td height="15"> </td> </tr> </table><BR> <table width="600" border="6" cellspacing="8" cellpadding="0" colspan="3"> <tr colspan="3"> <td width="30%" height="30" bgcolor="blue" border="6" align="center"><A HREF="#price"><font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Prices</font></a></b></td> <td width="35%" height="30" bgcolor="blue" border="6" align="center"><A HREF="#Testi"> <font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Testimonials</font></a></b></td> <td width="35%" height="30" bgcolor="blue" border="6" align="center"><A HREF="#content"><font face="Arial, Helvetica, sans-serif" size="4" color="#FFFFFF"><b>Table of Contents</font></a></b></td></TR></table><BR> <div align="center"> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="blue"> <tr> <td height="15"> </td> <td height="15"> </td> </tr> </table></div><BR><BR> <br> <center><table WIDTH="600" colspan="1" > <tr> <td><font face="Arial, Helvetica"><font color="#0000FF"><font size=+2>ABOUT THIS TEXT</font></font></font><BR> <p><font face="Arial, Helvetica" size=4><The <i> Text Critical Thinking Approach to Pre-Calculus </i> is recommended by Colleges, Universities, Secondary Schools, Home Schoolers, and Self Study Students because it emphasizes understanding, learning, and relearning of mathematical concepts as opposed to memorization. This Advanced Algebra and Trigonometry textbook fosters Student Success and enables the Teaching of math concepts because of the extra amount of time allowed to master these needed concepts. </P> <P>The<i> Pre-Calculus </i>Text in the Arithmetic to Algebra through Pre-Calculus Series contains the Advanced or College Algebra and Trigonometry needed to understand calculus. The mathematics is presented in an understandable way in order to maximize success in this course. Critical Thinking Approach to Pre-Calculus contains the curriculum for Advanced or College Algebra and Trigonometry; a math course normally taught in 12th grade or in a review sequence in college. This text contains four Chapters on algebraic functions, two Chapters on Trigonometry, and two Chapters on Circular Functions.</font></p></TD></TR></Table><BR> <TABLE width="525" align="center" border=0 colspan=1> <TR><TD align="center"><FONT FACE="Arial, Helvetica" SIZE=4> If you wish to see another page on this web-site<BR>and the M.T.E. Site Map does not appear at the left of your screen <BR>Open the Link Shown Below:</font></TR></TD> <br><br> <TR><TD align="center"><FONT FACE="Arial, Helvetica" color="blue" SIZE=5> <a href="http://www.actionmathematics.com">Site Map</a></font></td></tr></table> <BR><BR> <TABLE width="600" align="center" border=0 colspan=1> <TR><TD align="center"><p><font face="Arial, Helvetica" size=4>Each Section in <i>Pre-Calculus</i> is followed by 4 sets of exercises: <i>Exercises for Vocabulary, Exercises for Computation, Exercises for Understanding,</i> and a <i>Self-Test</i>. The <i>Instructor's Manual</i> contains <i>Problems for Problem Solving</i> (a collection of problems from science and industry applicable to the topics in that Unit). </font></p> <p><font face="Arial, Helvetica" size=4>Because of the emphasis on understanding, this is an outstanding text for teaching concepts associated with pre-calculus.</font></p> <BR> <p><font face="Arial, Helvetica" size=4>Available with <i>Critical Thinking Approach to Pre-Calculus</i> is an <i>Instructor's Manual </i>and a <i>Test Kit</i>. Answers for some of the odd numbered exercises appear at the end of the text while the complete answers appear in the <i>Instructor's Manual</i> for the text.</font></p></td></tr> <br> <tr><td><p><font face="Arial, Helvetica"><font size=4>The<i> Instructor's Manual</i> contains teaching and testing hints, possible schedule, the student copies for <i>Problems for Problem Solving</i>, and all answers including those to the <i>Exercises for Understanding</i> and <i>Problems for Problem Solving</i></font></font> <p><font face="Arial, Helvetica"><font size=4>The <i>Test Kit</i> contains a Placement Test, 7 Criteria Referenced Unit Tests (one for each Chapter) and a Final. All tests have been developed using the suggestions and guidance of the <i>University of Chicago Testing Department</i>. These multiple-choice tests are designed to test mastery of the content by students.</font></font></td> </tr> </table></center> <center> <p><img SRC="StudPC_WEB.jpg" ALT="Self-study using pre-calculus." height=225 width=400> <p><font face="Arial, Helvetica"><font size=-1>SELF-STUDY USING PRE-CALCULUS</font></font></center> <br>  <br>  <a NAME="Testi"></a> <center><table WIDTH="600" colspan="1" > <tr> <td><font face="Arial, Helvetica"><font color="#0000FF"><font size=+2>TESTIMONIALS and CUSTOMER COMMENTS</font></font></font> <p><font face="Arial, Helvetica"><font size=4>"Our students do not have as good a mathematics background as most students when they start our Pre-Calculus course. I was concerned that they would not be able to understand these concepts and not be very successful. However, because of the good explanations and other types of exercises they not only understood the concepts but also enjoyed the course.</p> <p>"We had difficulty covering the text, but we are going to adopt the first two algebra texts in this series and that will make a big difference in the future because our students will be better prepared for pre-calculus."</font></p> <p><font face="Arial, Helvetica"><font size=4>"The presentation of functions is the best I have ever seen. Students really understood what they were doing and could discuss these concepts with each other and other instructors." <p>"The presentation of trigonometry, especially the identities, is outstanding"</font></p> <center> <p><img SRC="PC3SetTxs_WEB.jpg" height=181 width=300> <br><font face="Arial, Helvetica"><font size=-1>THE TEXTS FOR PRE-CALCULUS</font></font></center> </table></center> <div align=right><b><font face="Arial, Helvetica"><font size=+1><a href="#top">RETURN TO TOP</a></font></font></b></div> <hr> <br> <hr> <BR><BR> <center> <p><img SRC="Exhau_WEB.jpg" ALT="After all this preparation I wonder if they will understand." height=360 width=360></center> <a NAME="content"></a> <br><BR> <table BORDER=0 CELLSPACING=0 WIDTH="480" align="center"> <tr> <td COLSPAN="2" WIDTH="100%"> <h2> <font face="Arial, Helvetica"><font color="#0000FF">TABLE OF CONTENTS <i>for Critical Thinking Approach to Pre-Calculus</i></font></font></h2> </td> </tr> <tr> <td COLSPAN="2" WIDTH="100%"><b><font face="Arial, Helvetica"><font color="#0000FF"><font size=+0>CHAPTER 1 FUNCTIONS, LINEAR FUNCTIONS AND INEQUALITIES </font></font></font></b></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION A</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>INTRODUCTION TO FUNCTIONS </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION B</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>ZERO OF FUNCTIONS</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>GRAPHS OF FUNCTIONS</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION D</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>LINEAR FUNCTIONS </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION E </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>INVERSE LINEAR FUNCTIONS</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION F</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>LINEAR INEQUALITIES </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> </tr> <tr> <td COLSPAN="2" WIDTH="100%"><b><font face="Arial, Helvetica"><font color="#0000FF"><font size=+0>CHAPTER 2 QUADRATIC FUNCTIONS AND INEQUALITIES</font></font></font></b></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION A</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>INTRODUCTION TO QUADRATIC FUNCTIONS </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>GRAPHING QUADRATIC FUNCTIONS</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>QUADRATIC FUNCTIONS WHICH SATISFY GIVEN CONDITIONS</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION D</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>INTERSECTION OF GRAPHS</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION E </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>QUADRATIC AND LINEAR INEQUALITIES </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> </tr> <tr> <td COLSPAN="2" WIDTH="100%"><b><font face="Arial, Helvetica"><font color="#0000FF"><font size=+0>CHAPTER 3 POLYNOMIAL RATIONAL AND ALGEBRAIC FUNCTIONS</font></font></font></b></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION A </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>INTERVALS</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>INTRODUCTION TO INTERPRETING GRAPHS </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>POLYNOMIAL FUNCTIONS</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION D </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>GRAPHS OF POLYNOMIAL FUNCTIONS </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION E </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>RATIONAL FUNCTIONS </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION F </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>ALGEBRAIC FUNCTIONS </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> </tr> <tr> <td COLSPAN="2" WIDTH="100%"><b><font face="Arial, Helvetica"><font color="#0000FF"><font size=+0>CHAPTER 4 EXPONENTIAL AND LOGARITHMIC FUNCTIONS</font></font></font></b></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION A</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>POWERS OF NUMBERS </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION B </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>EXPONENTIAL FUNCTION</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>APPLICATIONS OF THE EXPONENTIAL FUNCTION</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION D</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>LOGARITHMIC FUNCTIONS</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION E</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>APPLICATIONS OF THE LOGARITHMIC FUNCTION </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> </tr> <tr> <td COLSPAN="2" WIDTH="100%"><b><font face="Arial, Helvetica"><font color="#0000FF"><font size=+0>CHAPTER 5 TRIANGLE TRIGONOMETRY </font></font></font></b></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION A</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>ANGLES</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION B</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>TRIGONOMETRIC FUNCTIONS</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>ANGLES WITH SOME RATIONAL TRIGONOMETRIC FUNCTIONS</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION D</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>SOLUTION OF RIGHT TRIANGLES</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION E</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>SOLUTION OF OBLIQUE TRIANGLES </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="86%"> </td> </tr> <tr> <td COLSPAN="2" WIDTH="100%"><b><font face="Arial, Helvetica"><font color="#0000FF"><font size=+0>CHAPTER 6 FORMULAS AND IDENTITIES </font></font></font></b></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION A</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>IDENTITIES </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION B</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>ADDITION AND REDUCTION FORMULAS</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>MULTIPLE ANGLE FORMULAS </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION D</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>CONDITIONAL EQUATIONS </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="86%"> </td> </tr> <tr> <td COLSPAN="2" cwidth="100%"><b><font face="Arial, Helvetica"><font color="#0000FF"><font size=+0>CHAPTER 7 GRAPHS OF CIRCULAR FUNCTIONS</font></font></font></b></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION A</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>PERIODIC FUNCTIONS </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION B</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>GRAPHS OF SINE AND COSINE </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>GRAPHS OF THE TANGENT, COTANGENT SECANT, AND COSECANT</font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION D</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>GRAPHS OF INVERSE CIRCULAR FUNCTIONS </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> </tr> <tr> <td COLSPAN="2" WIDTH="100%"><b><font face="Arial, Helvetica"><font color="#0000FF"><font size=+0>CHAPTER 8 APPLICATIONS OF CIRCULAR FUNCTIONS</font></font></font></b></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION A </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>GENERAL SINUSOIDAL FUNCTION </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION B</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>HARMONIC FUNCTION </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION C</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>POLAR COORDINATE SYSTEM </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION D </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>COMPLEX NUMBERS IN POLAR COORDINATES </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION E</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>VECTORS </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0>SECTION F</font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0>MATHEMATICAL INDUCTION AND SEQUENCES </font></font></td> </tr> <tr> <td WIDTH="23%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> <td WIDTH="86%"><font face="Arial, Helvetica"><font size=+0> </font></font></td> </tr> <tr> <td COLSPAN="2" WIDTH="100%"><b><font face="Arial, Helvetica"><font color="#0000FF"><font size=+0>ANSWERS TO ODD NUMBERED EXERCISES </font></font></font></b></td> </tr> </table> </div> <!-****************** --> <!- Start of Info Page --> <div align="center"><table width="550"> <TR><TD><FONT FACE="Arial, Helvetica" SIZE=6 COLOR="#800000">INFORMATION ABOUT THE CRITICAL THINKING APPROACH to MATHEMATICS</TD></FONT> <TABLE width="550" colspan="1"> <TR><TD><FONT FACE="Arial, Helvetica" SIZE=4>This Series (Arithmetic to Algebra through Pre-calculus) from MTE was designed to maximize student understanding and reduce the dependence on rote memory.</FONT></TD> <TD><FONT FACE="Arial, Helvetica" COLOR="#ff0000">The Series, which emphasizes, A Critical Thinking Approach to Learning Mathematics includes the following:</FONT></TD></TR></table> <div ALIGN="Center"><TABLE width="550" colspan="1"><TR><TD> <IMG SRC="Pic5TextsStair.jpg" WIDTH=431 HEIGHT=246 ALT="Mathematics Texts for High School and College"></P> <FONT FACE="Arial, Helvetica" size=2> THE TEXTS IN THE M.T.E. SERIES: THE STAIRWAY TO CALCULUS.</FONT></TR></TD></TABLE> <TABLE width="550" colspan=1><TR><TD><FONT FACE="Arial, Helvetica" size=3> The <I>Critical Thinking Approach to Learning Mathematics Series</I> of MTE are based on the results of nearly 20 years of research concerned with determining why students in high schools and college memorize math, but fail to understand most of the concepts. Unfortunately memorized concepts are stored in the student's short-term memory and are soon forgotten. This circumstance causes students to fail or get low grades in math on college or university entrance exams, eliminating any chance of taking a university level math course needed for a degree that leads to higher paying positions. </td> <td>Satisfaction is guaranteed</B> on all M.T.E. products. If you are not satisfied with a M.T.E. product you have purchased, contact the publisher, in writing, within 6 weeks of the purchase date.</td></FONT> <TD><FONT FACE="Arial, Helvetica" size=3 COLOR="#0000ff"><BLOCKQUOTE>M.T.E. Ltd. 3095 South Trenton Street Denver, Colorado 80231 - 4164 </BLOCKQUOTE></FONT></TD> <TD><FONT FACE="Arial, Helvetica" size=3><P>In your letter, state the full name of the product and the date of purchase. You will receive a permission to return this product as soon as the information is verified (usually by return mail). You must pay the return shipping cost to M.T.E. If the product is in excellent condition, you will receive credit on your credit card or a check for the full refund. If the product is not in excellent condition, it will be returned to the sender.</TD></font> <IMG SRC="2teachers_WEB.jpg" WIDTH=200 HEIGHT=263 ALT="Teachers preparing to teach a lesson from Critical Thinking Approach to Intermediate Algebra."><FONT FACE="Arial, Helvetica"><BR> <TD><FONT FACE="Arial, Helvetica" size=2>TEACHERS PREPARING TO TEACH A LESSON FROMCRITICAL THINKING APPROACH TO INTERMEDIATE ALGEBRA </TD> <TD><FONT color="red"><H3>THE SECRETS OF LEARNING MATH</H3></font></TD> <FONT FACE="Arial, Helvetica" align="left" color="black" SIZE=3><TD>There are essentially two secrets to learning mathematics; one is concerned with the content and the other with teaching. There is far too much content at each grade level, and every few years the amount of content is increased. Under these conditions, students are urged to memorize concepts without understanding in order to maintain an acceptable grade level on tests. Research has determined that, for most math students, the memorization of concepts without understanding is stored in the short-term memory and soon forgotten. The first secret to student success in math is to reduce the amount of content at each level so that there is time to learn and understand the concepts.</TD> <TD>The second secret is one concerned with teaching. I have often heard that in the history of education, the "best" education took place in the one-room schoolhouse. If this is true, then it is because in a one-room schoolhouse education often came about as a result of older students teaching younger ones; both students gain from this experience. When a student is able to explain in his or her own words a math concept, that student understands the concept. The second secret to student success in learning math is to have students understand math concepts and demonstrate their understanding the concept by explaining it in their own words to someone else.</TD></FONT> <h3><FONT FACE="Arial, Helvetica" COLOR="#000080"><TD>Conclusions from the Research </h3></FONT></TD> <FONT FACE="Arial, Helvetica" color= "black" size=3><TD>There seems to be two main factors that could be corrected in our teaching of math courses that would go a long way toward eliminating the current problem. These two factors are memorization and acceleration.</TD> </FONT><B><FONT FACE="Arial, Helvetica" size=3 COLOR="#ff0000"><TD>Memorization:</TD></FONT> <FONT FACE="Arial, Helvetica" size=3><TD>Students are trying to memorize all necessary facts that are needed to pass the course. Unfortunately, this is not possible for most students and such a course of action has no long-term benefits: hence causing the basic problem in mathematics. </TD></FONT> <FONT FACE="Arial, Helvetica" size=3 COLOR="#ff0000"><TD>Acceleration:</TD></FONT> <FONT FACE="Arial, Helvetica" size=3><TD>We are attempting to teach too much too fast in math courses. This, in turn, causes students to rely on memorization as their best hope to pass the course. We do not give them the proper amount of time to understand concepts, which reduces the need for memory.</TD></FONT> <IMG SRC="Girldoinghw_WEB.jpg" WIDTH=200 HEIGHT=164 ALT="Studying from Geometric and Measurement Topics."> <FONT FACE="Arial, Helvetica" size=2>STUDYING FROM <I>GEOMETRIC AND MEASUREMENT TOPICS </TD></FONT> <FONT FACE="Arial, Helvetica" size=4 COLOR="#000080"><TD>RESEARCH INDICATES THREE CHANGES </TD></FONT> <FONT FACE="Arial, Helvetica" size=3><TD>The research results indicated that certain changes were needed to correct and eliminate the problem of memorization in mathematics courses. Procedures for correcting these problems are presented in the<I> Critical Thinking Approach to Learning Mathematics Series</I> of M.T.E.</TD></FONT> <TD><FONT FACE="Arial, Helvetica" COLOR="#ff0000"><H3>1. Need to restructure and reduce curriculum</H3></FONT></TD> <FONT FACE="Arial, Helvetica" size=3><TD>Over the years traditional texts have constantly added more and more content to each course causing instructors to "jam" too much content in too short a time. Traditional courses present an impossible number of concepts to be learned in one term, forcing students to memorize rather than understand concepts; this, in turn, forces much of the following term to be spent in review.</TD> <TD>The <I>Critical Thinking Approach to Learning Mathematics Series</I> of M.T.E. contains all the necessary mathematical topics for each course, but eliminates the unnecessary and "frill" concepts in that course. It was determined that 30 Units (Chapters) would be required to adequately cover the mathematics from Arithmetic to Pre-Calculus to prepare a student sufficiently to enroll and pass Calculus or another university level mathematics course. The 30 Units were developed from a survey of university faculty of the least understood critical topics which professors expected students to know before they attempted to enroll in calculus. </TD> <TD>Units were subdivided into Sections, and then Objectives for each Section were developed. These texts were written using the Objectives as a guide.</TD></FONT> <TD><IMG SRC="TeachingReading.jpg" WIDTH=200 HEIGHT=200 ALT="Teaching reading of math from Critical Thinking Approach to Beginner Algebra."><FONT FACE="Arial, Helvetica" size=3><BR> <FONT FACE="Arial, Helvetica" size=2>TEACHING READING OF MATH FROM CRITICAL THINKING APPROACH TO BEGINNING ALGEBRA> </TD></FONT> <TD><FONT FACE="Arial, Helvetica" COLOR="#ff0000"><H3>2.Need to have more emphasis in reading math</H3></FONT></TD> <FONT FACE="Arial, Helvetica" size=3><TD>Students who have difficulty in math are often those who are not able to read their texts with understanding. These students cannot reconstruct math concepts after reading a math text and are handicapped by the inability to ask meaningful questions in class or be able to successfully review for upcoming tests. </TD> <TD>Exercises for Vocabulary</B></I> were designed and inserted in the <I>Critical Thinking Approach to Mathematics materials at the end of each Section to help students learn terminology, to read mathematics, to be able to use reference material, and to be able to reconstruct concepts as needed. The Texts in this series are written at an appropriate level with understandable explanations. </TD></FONT> <FONT FACE="Arial, Helvetica" COLOR="#ff0000"><H3>3.<TD>Need more emphasis on critical thinking and problem solving skills</H3></TD></FONT> <FONT FACE="Arial, Helvetica" size=3><TD>Students who have difficulty in math are often those who cannot use critical thinking to improve their reasoning. They usually need help to improve their problem solving skills. The ability to solve problems and think critically is a valuable asset in seeking employment. </TD> <TD>Exercises for Understanding</B></I> containing discussion, explanation, and discovery exercises were designed and inserted in the <I>Critical Thinking Approach to Mathematics</I> materials at the end of each Section to improve critical thinking skills. If one is able to think critically, then problem solving is not a mystique. </TD> <TD>In addition, a set of <I>Problems for Problem Solving</I> is included in the<I> Instructor's Manual</I>. This collection of problems, gathered from science and industry, is designed to give students practice in working with "real life" problems and provide an opportunity to use newly learned math concepts in a problem solving situation. </TD></FONT> <IMG SRC="Tutor_WEB.jpg" WIDTH=200 HEIGHT=200 ALT="Getting help from a tutor on a lesson from Critical Thinking Approach to Pre-Calculus."><FONT FACE="Arial, Helvetica" size=3><BR> <FONT FACE="Arial, Helvetica" size=2><TD>GETTING HELP FROM A TUTOR ON A LESSON FROM CRITICAL THINKING APPROACH TO PRE-CALCULUS </TD></FONT> <FONT FACE="Arial, Helvetica" COLOR="#ff0000"><H3>4.<TD>Need to continue emphasis on drill and practice</H3></TD></FONT> <FONT FACE="Arial, Helvetica" size=3><TD>Traditional texts have always contained an ample number of drill and practice exercises; this necessary aspect of learning math is continued in the <I>Critical Thinking Approach to Mathematics</I> materials by inserting <B><I>Exercises for Computation</B></I> and a <B><I>Self Test </B></I>at the end of each Section. When considering drill and practice exercises, the difference between the texts of this series and traditional texts are the use of an algorithm in alternate ways instead of just more and more exercises. (Homework should not be a form of punishment, but should be a learning experience.)</TD></FONT> <FONT FACE="Arial, Helvetica" SIZE=4 COLOR="#ff0000"><TD>WHAT IS CRITICAL THINKING?</TD></FONT> <FONT FACE="Arial, Helvetica" size=3><TD>Everyone thinks at some level, it is our nature to do so; however, undirected thinking is often biased, distorted, nonproductive, illogical or partially uninformed. Because students have been using undirected thinking, they often feel they know all there is to know about thinking. Our challenge is to demonstrate to our students that they can extend their thinking abilities to include "educational critical thinking". They must do enough thinking to question, analyze, and extend data and concepts that affect their lives. Some of the CEO's in industry estimate that 90% of their future employees will be needed as thinkers, expediters, and communicators; to be able do this successfully students will have to read, write, and think. This ability will need to include math. </TD></FONT> <IMG SRC="BusDecisions.jpg" WIDTH=200 HEIGHT=200 ALT="Making decisions in business about employee math education."> <FONT FACE="Arial, Helvetica" size=2><TD>MAKING DECISIONS IN BUSINESS ABOUT EMPLOYEE MATH EDUCATION<</TD></FONT> <FONT FACE="Arial, Helvetica" size=3><TD>"Educational Critical Thinking" is logical and productive thinking that is capable of extending ideas, creating new ideas, and synthesizing patterns of thought. Educational Critical Thinking is a type of disciplined reasoning. Educational Critical Thinking must be self-directed, self-disciplined, self-monitored, and self-corrective.</TD> <TD>The definition used for critical thinking in the M.T.E.'s series of texts for the <I>Critical Thinking Approach to Mathematics</I> was:</TD></FONT> <TD><FONT FACE="Arial, Helvetica" SIZE=4 COLOR="#000080"><BLOCKQUOTE>"The ability to ask questions and to seek answers toward the positive solution of a problem or situation." </BLOCKQUOTE></FONT></TD> <IMG SRC="CommAdopting.jpg" WIDTH=200 HEIGHT=200 ALT="Committee Adopting Critical Approach to Mathematics Texts."> <FONT FACE="Arial, Helvetica" Align="center" size=2><TD>COMMITTEE ADOPTING CRITICAL THINKING APPROACH TO MATHEMATICS TEXTS</TD></FONT> <FONT FACE="Arial, Helvetica" SIZE=4 COLOR="#ff0000"><TD>ABOUT THE INSTRUCTOR'S MANUAL </TD></FONT> <FONT FACE="Arial, Helvetica" size=3><TD>This Manual is designed to help Instructors, Teachers, and Tutors with the information they need to conduct a successful course. The Manual contains an Introduction with helpful teaching hints. A Unit by Unit commentary which includes: the purpose of each section, the Objectives of each Subsection, new vocabulary, answers to the Exercises for Understanding, the Solutions for the Problems for Problem Solving, a Complete set of answers to all exercises, and Student Copies for the Problems for Problem Solving. </TD></FONT> <FONT FACE="Arial, Helvetica" SIZE=4 COLOR="#ff0000"><TD>ABOUT THE TEST KIT</TD></FONT> <FONT FACE="Arial, Helvetica" size=3><td>University of Chicago Section of the Keller Plan played a major role in the initial development of the MTE test package. Since there were more than 1000 students enrolled each semester in the math program using the MTE Texts and because they all took a CRT Unit Test on the same day at the end of each Unit; it was necessary to be able to give and evaluate these tests over a weekend. In order to do this in such a short time period; it was necessary to use the multiple-choice format. On the other hand, we did not want the test to be "multiple-guess." It was in this connection that the University of Chicago staff were helpful enabling the development of valid, objective, efficient, and reliable tests. </TD> <TD>Each Test Kit contains a Placement Test **, Criteria Reference Tests for each Unit, and a Final Test. The Placement Test can be used to determine if the student is properly placed in the series. (** <I>The Critical Thinking Approach for Competency Arithmetic</I> does not have a placement Test.) </TD> <td>The Unit Criteria Referenced Tests will determine if the student has mastered the necessary content. The Final Test should be used as one part of a more comprehensive test with the other parts prepared by the instructor. The Test Kits have general instructions, a student copy for each test, and an answer sheet with other data. </TD></FONT> <TD><FONT FACE="Arial, Helvetica" size=3>The tests for the MTE Texts were developed and improved over a seven-year period. During this period over 11,000 students took various forms of the tests and a complete computer analyses of all student test results were made to increase their validity and reliability.</FONT></TD> <FONT FACE="Arial, Helvetica" SIZE=4 COLOR="#ff0000"><TD>From the Publisher </TD></FONT> <FONT FACE="Arial, Helvetica" size=3><TD>This team of authors has taken the time and spent a great amount of effort to develop a series of texts with successful student learning as the main goal. Using an organizational scheme based on the objectives students need to learn, the authors have incorporated understandable explanations; illustrations that clearly present concepts, and have included a variety of exercises that not only provide the necessary drill, but challenge students to think about math concepts. This series of texts is setting a new direction, marching counter to that of traditional texts which contain too much content; forcing students to memorize (not understand) as the only way to pass. This new direction in education taken by this team of authors is summed-up in their logo below.</TD></FONT> <IMG SRC="LgLogoTri_WEB.gif" WIDTH=215 HEIGHT=195 ALT="Vocabulary - Computation - Understanding: The M.T.E. Logo."> </FONT><FONT FACE="Arial, Helvetica" size=2><TD>THE M.T.E. LOGO</TD></FONT></TR></TABLE></div> <!-****************** --> <!- Start of Clep Page --> <div align="center"><a name="top"></a> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="CHARTUSE"> <tr> <td height="20"> </td> <td height="20"> </td> </tr> </table></div> <div align="center"> <TABLE width=600 border=0 cellspacing="0" cellpadding="0"> <BR><TR><TD align="center"><B><FONT FACE="Arial, Helvetica" align="center" SIZE=6 COLOR="CHARTUSE">CLEP</FONT></TD></TR> <TR><TD align="center"><B><FONT FACE="Arial, Helvetica" align="center" SIZE=6 COLOR="CHARTUSE">COLLEGE LEVEL ENTRANCE EXAMINATION PROGRAM</FONT></TD></B></TR> </TABLE><BR> <table width="600" border="0" cellspacing="0" cellpadding="0" bgcolor="CHARTUSE"> <tr> <td width="300" height="30"> <td width="300" height="30"> </td></tr></table><BR><BR></div> <div align="center"><table WIDTH="600" colspan="1" > <tr><td ALIGN="CENTER"><font face="Arial, Helvetica" color="BLUE" size="+2">ABOUT CLEP COLLEGE-LEVEL EXAMININATION PROGRAM(S)</font><BR> <br></td></tr></div> <div align="center"><table WIDTH="600" colspan="1" ><tr><td><font face="Arial, Helvetica" color="#000000" size=4>The College-Level Examination Program(s) or CLEP provides students of any age with the opportunity to demonstrate college-level achievement through a program of exams in undergraduate college courses. There are more than 2,900 accredited colleges and universities that grant credit and/or advanced standing for CLEP exams. To find the names and locations of these institutions granting credit for CLEP; search the CLEP College database . This data bank is located on the CLEP web-site at - </FONT></td></tr><BR></table></DIV><BR> <div align="center"><table WIDTH="150" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"><tr><td HALIGN="center"> <FONT FACE="Arial, Helvetica" color="blue"><a href="http://www.clep.org."><h3>http://www.clep.org. </h3></A></font></td></tr></table></DIV> <div align="center"><table WIDTH="600" colspan="1" > <tr><td><font face="Arial, Helvetica" color="#000000" size=4> <BR>Nearly half of these institutions also administer the exams at their own CLEP test centers. </FONT></td></tr><BR> <tr><td align="left"><font face="Arial, Helvetica" color="#000000" size=4>CLEP is one homeschooler-friendly testing option that provides a way for a student to earn the same amount of college credit that you would get if you took - and did well in - a semester- or year-long college course covering the same material. You can shorten your path to a college degree - with CLEP! Using the CLEP examinations it is possible for a student to "test-out" of a significant portion of an Associates Degree program before attending college. Many smaller universities accept passing CLEP test results toward their four-year degree programs.</FONT></td></tr><BR> <tr><td align="left"><font face="Arial, Helvetica" color="#000000" size=4>The CLEP program administered by the College Entrance Examination Board, offers standardized examinations in many college level areas. In Mathematics, examinations are offered in College Math, College Algebra, Trigonometry, College Algebra and Trigonometry, and Calculus.</FONT></td></tr><BR> <tr><td align="left"><font face="Arial, Helvetica" color="#000000" size=4>CLEP exams provide a possibility for students to achieve double credit for a course both in high school and college. This is particularly true as it is becoming quite apparent that the material being taught in the first two years of college mathematics at most universities and colleges is a "review of high school math".</FONT></td></tr><BR> <tr><td><font face="Arial, Helvetica" color="RED" SIZE=5>It seems practical to teach it right the first time and get college credit as well as save time and money.</FONT></td></tr></TABLE><BR><BR></div> <Div align="center"><table colspan=3 CELLSPACING=0 BORDER=0 width="550"> <br><HR></br> <a name="table"></a> <tr><td align="center"><font face="Arial, Helvetica" color="BLUE" SIZE=5>THE FOLLOWING BUTTONS WILL CONNECT YOU TO SOME IMPORTANT FACTS ABOUT CLEP.</FONT></td></tr></TABLE><BR><BR></div> <Div align="center"> <table WIDTH="350" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"><tr><td HALIGN="center"><A HREF="#option1"> <FONT FACE="Arial, Helvetica"><FONT FACE="Arial, Helvetica"><h3>CLEP EXAMINATION CREDIT </h3></A></font></td></tr></table></DIV><br> <Div align="center"> <table WIDTH="350" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"><tr><td HALIGN="center"><A HREF="#option2"> <FONT FACE="Arial, Helvetica"><FONT FACE="Arial, Helvetica"><h3>HOW TO FIND A COLLEGE OR UNIVERSITY<br>THAT HAS A TESTING CENTER </h3></A></font></td></tr></table></DIV><BR> <Div align="center"> <table WIDTH="350" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"><tr><td HALIGN="center"><A HREF="#option3"> <FONT FACE="Arial, Helvetica"><FONT FACE="Arial, Helvetica"><h3>HOW MUCH CLEP CREDIT CAN YOU EARN? </h3></A></font></td></tr></table></DIV><BR> <Div align="center"> <table WIDTH="350" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"><tr><td HALIGN="center"><A HREF="#option4"> <FONT FACE="Arial, Helvetica"><FONT FACE="Arial, Helvetica"><h3>HOW MUCH DOES CLEP COST? </h3></A></font></td></tr></table></DIV><BR> <Div align="center"> <table WIDTH="350" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"><tr><td HALIGN="center"><A HREF="#option5"> <FONT FACE="Arial, Helvetica"><FONT FACE="Arial, Helvetica"><h3>HOW CAN I CONTACT CLEP DIRECTLY? </h3></A></font></td></tr></table></DIV><BR> <Div align="center"> <table WIDTH="350" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"><tr><td HALIGN="center"><A HREF="#option6"> <FONT FACE="Arial, Helvetica"><FONT FACE="Arial, Helvetica"><h3>MINIMUM QUALIFYING SCORE </h3></A></font></td></tr></table></DIV><BR> <Div align="center"> <table WIDTH="350" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"><tr><td HALIGN="center"><A HREF="#option7"> <FONT FACE="Arial, Helvetica"><FONT FACE="Arial, Helvetica"><h3>PRIOR COURSE WORK </h3></A></font></td></tr></table></DIV><BR> <Div align="center"> <table WIDTH="350" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"><tr><td HALIGN="center"><A HREF="#option8"> <FONT FACE="Arial, Helvetica"><FONT FACE="Arial, Helvetica"><h3>ADDITIONAL STIPULATIONS </h3></A></font></td></tr></table></DIV><BR> <Div align="center"> <table WIDTH="350" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"><tr><td HALIGN="center"><A HREF="#option9"> <FONT FACE="Arial, Helvetica"><FONT FACE="Arial, Helvetica"><h3>SCORES AND TRANSCRIPTS </h3></A></font></td></tr></table></DIV><BR> <br><HR><br><br><HR><br> <DIV align="center"><table WIDTH="600" colspan="1" > <tr><td ALIGN="CENTER"><font face="Arial, Helvetica" color="red" size="+3">STUDENTS USING CRITICAL THINKING APPROACH TO MATHEMATICS TEXTBOOKS</td></tr></FONT><BR> <tr><td ALIGN="CENTER"><font face="Arial, Helvetica" color="red" size="+3">CAN TAKE ADVANTAGE OF CLEP EXAMS</FONT></td></tr></TABLE><BR><BR> <br><br> <table width="525" colspan=1> <TR><TD align="center"><IMG SRC="Pic5Texts_WEB.jpg" WIDTH=375 HEIGHT=250 ALT="Five Texts in MTE Series"></TD></TR> <TR><TD align="center"><FONT FACE="Arial, Helvetica" size=3>FIVE TEXTBOOKS IN M.T.E.'S CRITICAL THINKING APPROACH TO MATHEMATICS SERIES </FONT></TD></TR></table> <BR><HR><BR> <table WIDTH="600" colspan="1" > <tr><td ALIGN="CENTER"><font face="Arial, Helvetica" color="RED" size="+3">THE FOLLOWING CORRELATION CHARTS RELATE<BR> CRITICAL THINKING APPROACH TO MATHEMATICS TEXTBOOKS<BR> TO CLEP EXAMS</FONT></td></tr></TABLE> <BR><BR><HR><BR><HR><BR> <table WIDTH="600" colspan="1" > <tr><td ALIGN="LEFT"><font face="Arial, Helvetica" color="BLUE" size="+3">CLEP EXAM FOR COLLEGE MATH</FONT></td></tr></TABLE><BR><BR> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4><B>GENERAL:</B></FONT></TD></TR><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>The CLEP College Mathematics exam was developed to cover material generally taught in a college course for non-mathematics majors and majors in other fields not requiring a knowledge of advanced mathematics. Nearly half of the exam requires the candidate to solve routine straightforward problems; the remainder involves solving non routine problems in which candidates must demonstrate their understanding of concepts. The exam includes questions on logic and sets, the real number system, functions and their graphs, probability and statistics, and topics from algebra. It is assumed that candidates are familiar with currently taught mathematics vocabulary, symbols, and notation. The exam places little emphasis on arithmetic calculations, and it does not contain any questions that require the use of a calculator. However, an online scientific calculator (non-graphing) is available during the exam as part of the testing software. </FONT></TD></TR><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>The exam contains approximately 60 questions to be answered in 90 minutes. *</FONT></td></tr></TABLE><BR><BR></div> <Div align="center"> <table WIDTH="500" border="3" bgcolor="yellow" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT" VALIGN="TOP"><TH ALIGN="LEFT" width="55%"><font face="Arial, Helvetica" color="#000000" size=4><B>TOPICS INCLUDED:</B><BR>Approximate percent<BR>of examination</TH> </FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4><B>CORRELATIONS**</B><BR> For Critical Thinking Approach to Mathematics Texts</B></TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="yellow" cellpadding="8" cellspacing="3"><TR><TD ALIGN="LEFT"><TH ALIGN="LEFT" width="55%"> <font face="Arial, Helvetica" color="#000000" size=4>10% Sets </TH></FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4>CA pages 1, 2, 3,4, 106<BR> G&M pages 40, 137, 138, 139, 140<BR> BA pages 1,2,3,6, 79, 81, 120,167<BR> IA pages 3,9, 157</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="yellow" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT" VALIGN="TOP"><TH ALIGN="LEFT" width="55%"><font face="Arial, Helvetica" color="#000000" size=4>10% Logic </TH></FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4> G&M pages 125 - 178<BR>BA page 133</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="yellow" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT" VALIGN="TOP"><TH ALIGN="LEFT" width="55%"><font face="Arial, Helvetica" color="#000000" size=4>20% Real Number System</TH></FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4> CA pages 1, 2, 3,4<BR>BA pages 185, 128,130<BR>IA pages 37, 251 </TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="yellow" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT" VALIGN="TOP"><TH ALIGN="LEFT" width="55%"><font face="Arial, Helvetica" color="#000000" size=4>20% Functions and Their Graphs</TH></FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4> PC pages 1 - 112</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="yellow" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT" VALIGN="TOP"><TH ALIGN="LEFT" width="55%"><font face="Arial, Helvetica" color="#000000" size=4>25% Probability and Statistics</TH></FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4> G&M pages 179 - 236</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="yellow" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT" VALIGN="TOP"><TH ALIGN="LEFT" width="55%"><font face="Arial, Helvetica" color="#000000" size=4>15% Additional Algebra Topics</TH></FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4> BA & IA pages 179 - 236</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4><B>NOTES FOR ABOVE TABLE.</B></FONT></TD></TR><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4> * Solving routine, straightforward problems (about 50 percent of the exam)<BR> * Solving non routine problems requiring an understanding of concepts and the application of skills and concepts (about 50 percent of the exam)</FONT></td></tr></TABLE><BR><BR> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4> ** THE SYMBOLS FOR THE CRITICAL THINKING TEXTS</FONT></td></tr> <TR><TD><tr><td><font face="Arial, Helvetica" color="#000000" size=4><UL> <IL>CA --- Critical Thinking Approach to Competency Arithmetic</IL><BR> <IL>G&M --- Critical Thinking Approach to Geometric and Measurement Concepts</IL><BR> <IL>BA --- Critical Thinking Approach to Beginning Algebra</IL><BR> <IL>IA --- Critical Thinking Approach to Intermediate Algebra</IL><BR> <IL>PC --- Critical Thinking Approach to Pre-Calculus</IL>>/UL> </font></TD></TR></Table></DIV> <BR><BR><HR><BR><HR><BR> <Div align="center"> <table WIDTH="600" colspan="1" > <tr><td ALIGN="LEFT"><font face="Arial, Helvetica" color="BLUE" size="+3">CLEP EXAM FOR COLLEGE ALGEBRA</FONT></td></tr></TABLE><BR><BR> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4><B>GENERAL:</B></FONT></TD></TR><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>The College Algebra examination covers material usually taught in a one-semester college course in algebra. About half the exam is made up of routine problems requiring basic algebraic skills; the remainder involves solving non routine problems in which candidates must demonstrate their understanding of concepts. The exam includes questions on basic algebraic operations; linear and quadratic equations, inequalities, and graphs; algebraic, exponential, and logarithmic functions; and miscellaneous other topics. It is assumed that the candidate is familiar with currently taught algebraic vocabulary, symbols, and notation. The exam places little emphasis on arithmetic calculations, and it does not contain any questions that require the use of a calculator. However, an online scientific calculator (non graphing) will be available during the exam. <tr><td><font face="Arial, Helvetica" color="#000000" size=4>The exam contains 60 questions to be answered in 90 minutes. *</FONT></td></tr></TABLE><BR><BR></div> <Div align="center"> <table WIDTH="500" border="3" bgcolor="LIGHTGREEN" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT" VALIGN="TOP"><TH ALIGN="LEFT" width="55%"><font face="Arial, Helvetica" color="#000000" size=4><B>TOPICS INCLUDED:</B><BR>Approximate percent<BR>of examination</TH> </FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4><B>CORRELATIONS**</B><BR> For Critical Thinking Approach to Mathematics Texts</B></TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="LIGHTGREEN" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT" VALIGN="TOP"><TH ALIGN="LEFT" width="55%"><font face="Arial, Helvetica" color="#000000" size=4>25% Algebraic operations <BR><BR>* Combining algebraic expressions <BR>* Factoring <BR>* Simplifying algebraic functions <BR>* Operating with powers and roots</TH></FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4> BA pages 155 - 193, <BR> IA pages 43 - 73<BR> IA pages 77 - 111,<BR> PC pages 113 - 117<BR> BA pages 197 - 205, <BR> IA pages 115 - 150<BR> BA pages 142 - 145, <BR>IA pages 1 - 39, 155 - 184,<BR> PC pages 169 - 197</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="LIGHTGREEN" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT" VALIGN="TOP"><TH ALIGN="LEFT" width="55%"><font face="Arial, Helvetica" color="#000000" size=4>20% Equations, inequalities, and their graphs <BR><BR>* Linear equations and inequalities <BR>* Quadratic equations <center> and inequalities</center> <BR>* Systems of equations <center> and inequalities</center> </TH></FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4>BA pages 209 - 229<BR>PC pages 49 - 53<BR> PC pages 61 - 106<BR>BA pages 245 - 269</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="LIGHTGREEN" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT" VALIGN="TOP"><TH ALIGN="LEFT" width="55%"><font face="Arial, Helvetica" color="#000000" size=4>25% Algebraic, exponential, and logarithmic functions and their graphs <BR><BR>* Domain <BR>* Range <BR>* Composition <BR>* Inverse of functions</TH></FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4> PC pages 1 - 3,<BR>PC pages 113 - 117 <BR>PC pages 1 - 3<BR>PC pages 42 - 43<BR></TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="LIGHTGREEN" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT" VALIGN="TOP"><TH ALIGN="LEFT" width="55%"><font face="Arial, Helvetica" color="#000000" size=4>30% Miscellaneous topics<BR><BR>* Theory of equations <BR>* Sets <BR>* Real Numbers <BR>* Complex Numbers <BR>* Sequence and series </TH></FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4>G&M pages 40, 137, 138, 139, 140<BR>BA pages 1 - 6, 43 - 69<BR>IA pages 199 - 225 <BR>IA pages 2 - 9<BR>IA pages 157, 229 - 260<BR>PC pages 337 - 349<BR>PC pages 373 - 377</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4><B>NOTES FOR ABOVE TABLE.</B></FONT></TD></TR><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4> * Solving routine, straightforward problems (about 50 percent of the exam)<BR> * Solving non routine problems requiring an understanding of concepts and the application of skills and concepts (about 50 percent of the exam)</FONT></td></tr></TABLE><BR><BR> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4> ** THE SYMBOLS FOR THE CRITICAL THINKING TEXTS</FONT></td></tr> <TR><TD><tr><td><font face="Arial, Helvetica" color="#000000" size=4><UL> <IL>G&M --- Critical Thinking Approach to Geometric and Measurement Concepts</IL><BR> <IL>BA --- Critical Thinking Approach to Beginning Algebra</IL><BR> <IL>IA --- Critical Thinking Approach to Intermediate Algebra</IL><BR> <IL>PC --- Critical Thinking Approach to Pre-Calculus</IL>>/UL> </font></TD></TR></Table></DIV> <BR><BR><HR><BR><HR><BR> <Div align="center"> <table WIDTH="600" colspan="1" > <tr><td ALIGN="LEFT"><font face="Arial, Helvetica" color="BLUE" size="+3">CLEP EXAM FOR TRIGONOMETRY</FONT></td></tr></TABLE><BR><BR> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4><B>GENERAL:</B></FONT></TD></TR><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>The Trigonometry examination covers material usually taught in a one-semester college course in trigonometry with primary emphasis on analytical trigonometry. More than half the exam is made up of routine problems requiring basic trigonometric skills; the remainder involves solving non routine problems in which candidates must demonstrate their understanding of concepts. The exam includes questions on trigonometric functions and their relationships; evaluation of trigonometric functions of positive and negative angles; trigonometric equations and inequalities; graphs of trigonometric functions; trigonometry of the triangle; and miscellaneous other topics. It is assumed that the candidate is familiar with currently taught trigonometric vocabulary and notation and with both radian and degree measure. The exam places little emphasis on arithmetic calculations. A calculator is not permitted on the first part of the exam, but an online scientific (non graphing) calculator will be available during the second part of the test. Some questions in the second part do require the use of a calculator.</FONT></td></tr> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>The examination contains 65 questions to be answered in 90 minutes. Part 1 contains 25 questions in 30 minutes and does not allow the use of a calculator. Part 2 contains 40 questions in 60 minutes and requires the use of an online scientific calculator.</FONT></td></tr></TABLE><BR><BR></div> <Div align="center"> <table WIDTH="500" border="3" bgcolor="ORANGE" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT" VALIGN="TOP"><TH ALIGN="LEFT" width="55%"><font face="Arial, Helvetica" color="#000000" size=4><B>TOPICS INCLUDED:</B><BR>Approximate percent<BR>of examination</TH> </FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4><B>CORRELATIONS**</B><BR> For Critical Thinking Approach to Mathematics Texts</B></TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3"bgcolor="ORANGE" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT"><TH ALIGN="LEFT" width="55%"> <font face="Arial, Helvetica" color="#000000" size=4>25% Trigonometry functions and their relationships <BR><BR>* Circular or wrapping function<BR>* Determining a function from a <center>given function</center> <BR>* Cofunction relationships<BR>* Reciprocal relationships <BR>* Pathagorean relationships <BR>* Functions of two angles <BR>* Identities </TH></FONT><TH ALIGN="LEFT" width="45%"><font face="Arial, Helvetica" color="#000000" size=4>PC pages 281 - 284<BR> PC pages 315 - 321<BR>PC pages 212 - 216, 256<BR>PC pages 234 - 240<BR>PC pages 254 - 269<BR>PC pages 247 - 249</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="ORANGE" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT"><TH ALIGN="LEFT" width="55%"> <font face="Arial, Helvetica" color="#000000" size=4>15% Evaluation of trigonometry functions of angles with terminal sides in various quadrantants or on an axis, including positive and negative angles in both degrees and radians, also angles greater than 360&deg<BR><BR> </TH></FONT><TH ALIGN="LEFT" width="45%"> <font face="Arial, Helvetica" color="#000000" size=4>PC pages 221 - 230</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="ORANGE" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT"><TH ALIGN="LEFT" width="55%"> <font face="Arial, Helvetica" color="#000000" size=4>10% Trigonometric equations and inequalities </TH></FONT><TH ALIGN="LEFT" width="45%"> <font face="Arial, Helvetica" color="#000000" size=4>PC pages 273 - 275</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="ORANGE" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT"><TH ALIGN="LEFT" width="55%"> <font face="Arial, Helvetica" color="#000000" size=4>15% Interpreting graphs of trigonometric functions </TH></FONT><TH ALIGN="LEFT" width="45%"> <font face="Arial, Helvetica" color="#000000" size=4>PC pages 290 - 302</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="ORANGE" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT"><TH ALIGN="LEFT" width="55%"> <font face="Arial, Helvetica" color="#000000" size=4>15% Trigonometry of the triangle </TH></FONT><TH ALIGN="LEFT" width="45%"> <font face="Arial, Helvetica" color="#000000" size=4>PC pages 234 - 240</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="500" border="3" bgcolor="ORANGE" cellpadding="10" cellspacing="5"><TR><TD ALIGN="LEFT"><TH ALIGN="LEFT" width="55%"> <font face="Arial, Helvetica" color="#000000" size=4>20% Miscellaneous <BR><BR>* Inverse trigonometric functions <BR>* Polar coordinates</TH></FONT><TH ALIGN="LEFT" width="45%"> <font face="Arial, Helvetica" color="#000000" size=4>PC pages 217<br>PC pages 337 - 340</TH></FONT></TD></TR></TABLE><BR><BR> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4><B>NOTES FOR ABOVE TABLE.</B></FONT></TD></TR><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4> * Solving routine, straightforward problems (about 50 percent of the exam)<BR> * Solving non routine problems requiring an understanding of concepts and the application of skills and concepts (about 50 percent of the exam)</FONT></td></tr></TABLE><BR><BR> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4> ** THE SYMBOLS FOR THE CRITICAL THINKING TEXTS</FONT></td></tr> <TR><TD><tr><td><font face="Arial, Helvetica" color="#000000" size=4><UL><BR> <IL>PC --- Critical Thinking Approach to Pre-Calculus</IL>>/UL> </font></TD></TR></Table></DIV> <BR><BR><HR><BR><HR><BR> <Div align="center"> <table WIDTH="600" colspan="1" > <tr><td ALIGN="LEFT"><font face="Arial, Helvetica" color="BLUE" size="+3">CLEP EXAM FOR COLLEGE ALGEBRA AND TRIGONOMETRY</FONT></td></tr></TABLE><BR><BR> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4><B>GENERAL:</B></FONT></TD></TR><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>The College Algebra-Trigonometry examination covers material usually taught in a one-semester course that includes both algebra and trigonometry. Such a course is usually taken by students who have studied algebra and geometry in high school, but who need additional study of pre-calculus mathematics before enrolling in calculus and other advanced courses at the college level.</TD></TR></font><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>Approximately half the test is made up of routine problems requiring basic algebraic and trigonometric skills; the remainder involves solving non routine problems in which candidates must demonstrate their understanding of concepts. The algebra part of the test includes questions on basic algebraic operations; linear, and quadratic equations; inequalities and graphs; algebraic, exponential, and logarithmic functions; and miscellaneous other topics. The trigonometry part of the test includes questions on trigonometric functions and their relationships, evaluations of trigonometric functions of positive and negative angles, trigonometric equations and inequalities, graphs of trigonometric functions, trigonometry of the triangle, and miscellaneous other topics. It is assumed that the candidate is familiar with currently taught algebraic and trigonometric vocabulary and notation with both radian and degree measure. </font></TD></TR><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>The College Algebra-Trigonometry examination requires all of the knowledge and skills required by the separate examinations in College Algebra and Trigonometry. (See tables above for more detailed information.) The combined examination contains 63 questions to be answered in 90 minutes. There are three separately timed sections. Part 1 consists of 30 algebra questions in 45 minutes; an online scientific calculator is provided although there are no questions that require a calculator. Part 2 contains 13 questions to be answered in 15 minutes and does not allow the use of a calculator. Part 3 contains 20 questions to be answered in 30 minutes and requires the use of an online scientific calculator.</FONT></TD></TR> </TABLE></Div> <BR><BR><HR><BR><HR> <table width="600" align="center" border=0 colspan=1> <TR><TD align="center"><IMG SRC="CLEPPIC.jpg" WIDTH=596 HEIGHT=454 ALT="Students ready for CLEP MATH EXAM"><br><BR> <FONT FACE="Arial, Helvetica" align="center" SIZE=2>Students ready for CLEP MATH EXAM</Font></TD></TR></Table> <BR><BR><HR><BR><HR><BR> <A NAME="option1"></A> <Div align="center"><table WIDTH="600" colspan="1" > <tr><td ALIGN="center"><font face="Arial, Helvetica" color="BLUE" size="+2">CLEP EXAMINATION CREDIT</FONT></td></tr></TABLE><BR><BR> <table WIDTH="600" colspan="1" ><tr><td><font face="Arial, Helvetica" color="#000000" size=4>Most colleges and universities grant credit for CLEP exams, but not all. There are 2,900 institutions that grant credit for CLEP and each of them sets its own CLEP policy; in other words, each institution determines for which exams credit is awarded, the scores required and how much credit will be granted. Therefore, before you take a CLEP exam, check directly with the college or university you plan to attend to make sure that grants credit for CLEP and review the specifics of its policy.</TD></TR></font><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>Typically, a college lists all its academic policies, including CLEP policies, in its general catalog. You'll probably find the CLEP policy statement under a heading such as Credit-by-Examination, Advanced Standing, Advanced Placement, or External Degree Program. If you can't find this information, ask the admission or registrar's office for a copy of the college's credit-by-examination policy.</FONT></td></tr></TABLE></DIV> <div ALIGN="CENTER"><table WIDTH="600" colspan="1"><TR><TD align="right"> <H3><A HREF="#table"><FONT FACE="Arial, Helvetica">RETURN TO TABLE</FONT></A></H3></TD></TR></TABLE></div><BR><BR><BR><BR> <A NAME="option2"></A> <DIV align="center"><table WIDTH="600" colspan="1" > <tr><td ALIGN="CENTER"><font face="Arial, Helvetica" color="BLUE" size="+2">HOW TO FIND A COLLEGE OR UNIVERSITY<br> THAT HAS A TESTING CENTER</FONT></td></tr></TABLE> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4>CLEP web-site contains a data base of 1,400 college and university test centers. Go to CLEP's web-site and search for the test center of your choice.</FONT></td></tr></TABLE></DIV><BR> <div align="center"><table WIDTH="150" Height="30" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"><tr><td HALIGN="center"> <FONT FACE="Arial, Helvetica" color="blue"><a href="http://www.clep.org."><h3>http://www.clep.org. </h3></A></font></td></tr></table><BR> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4> There are three types of test centers:</FONT></td></tr> <tr><td><ul><font face="Arial, Helvetica" color="#000000" size=4> <li>[O] Open test centers will test anyone who properly registers, including military personnel. These centers generally administer CLEP exams on a regular basis.</li><BR> <li>[L] Limited test centers restrict testing to students admitted to or enrolled at the institution.</li><BR> <li>[F] Military Friendly test centers actively promote testing services to members of the U.S. Armed Forces. Appropriate military identification is required for testing.</li></ul></FONT></td></tr></TABLE></DIV><BR><BR> <div ALIGN="CENTER"><table WIDTH="600" colspan="1"><TR><TD align="right"> <H3><A HREF="#table"><FONT FACE="Arial, Helvetica">RETURN TO TABLE</FONT></A></H3></TD></TR></TABLE></div><BR><BR><BR><BR> <A NAME="option3"></A> <DIV align="center"><table WIDTH="600" colspan="1" > <tr><td ALIGN="CENTER"><font face="Arial, Helvetica" color="BLUE" size="+2">HOW MUCH CLEP CREDIT CAN YOU EARN?</FONT></td></tr></TABLE> <table WIDTH="600" colspan="1" ><tr><td><font face="Arial, Helvetica" color="#000000" size=4>Not all colleges award the same amount of CLEP credit for individual tests. Furthermore, some colleges place a limit on the total amount of credit you can earn through CLEP or other exams. Other colleges may grant you exemption but no credit toward your degree. Knowing several colleges' policies concerning these issues may help you decide which college to attend. If you think you can pass a number of CLEP exams, you may want to attend a college that will allow you to earn credit for all or most of them.</FONT></td></tr></TABLE></DIV><BR><BR> <div ALIGN="CENTER"><table WIDTH="600" colspan="1"><TR><TD align="right"> <H3><A HREF="#table"><FONT FACE="Arial, Helvetica">RETURN TO TABLE</FONT></A></H3></TD></TR></TABLE></div><BR><BR><BR><BR> <A NAME="option4"></A> <DIV align="center"><table WIDTH="600" colspan="1" > <tr><td ALIGN="CENTER"><font face="Arial, Helvetica" color="BLUE" size="+2">HOW MUCH DOES CLEP COST?</FONT></td></tr></TABLE> <table WIDTH="600" colspan="1" ><tr><td><font face="Arial, Helvetica" color="#000000" size=4>There is a charge for many CLEP services and these charges can vary.</td></tr></FONT><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>The cost of a CLEP Exam is $55.00.</td></tr></FONT><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>Consult CLEP's web-site for charges on other services. </FONT></td></tr></TABLE></DIV><BR> <div ALIGN="CENTER"><table WIDTH="600" colspan="1"><TR><TD align="right"> <H3><A HREF="#table"><FONT FACE="Arial, Helvetica">RETURN TO TABLE</FONT></A></H3></TD></TR></TABLE></div><BR><BR><BR><BR> <A NAME="option5"></A> <DIV align="center"><table WIDTH="600" colspan="1" > <tr><td ALIGN="CENTER"><font face="Arial, Helvetica" color="BLUE" size="+2">HOW CAN I CONTACT CLEP DIRECTLY? </FONT></td></tr><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>When contacting CLEP be sure to have ready or to include the following information;<BR><UL> <LI>Your Full Name</LI> <LI>Your Address</LI> <LI>Your Phone</LI> <LI>Your E-mail Address</LI> <LI>The Name of the College Where you want the Credit to apply.</LI> <LI>The CLEP Testing Office where you want to take the test.<BR> (In many cases this will the Testing Office of the College you want to attend)</LI> <LI>The Name of the CLEP Exam(s) you wish to take</LI></UL></FONT></td></tr></TABLE><BR><BR><BR> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4>CLEP has a web-site where more detailed information can be found.</FONT></td></tr></TABLE></DIV><BR> <div align="center"><table WIDTH="150" Height="30" border="3" bgcolor="beige" cellpadding="10" cellspacing="5"><tr><td HALIGN="center"> <FONT FACE="Arial, Helvetica" color="blue"><a href="http://www.clep.org."><h3>http://www.clep.org. </h3></A></font></td></tr></table><BR> <table WIDTH="600" colspan="1"> <tr><td><font face="Arial, Helvetica" color="#000000" size=4> CLEP web-site contains a data base of colleges of more than 2900 accredited colleges and universities that award credit for satisfactory scores on CLEP exams It is possible to do a Search in this web-site for both colleges and universities that accept CLEP credit and the test sites where an CLEP exam may be taken.</FONT></td></tr></table></div> <BR><BR><BR> <div align="center"><table WIDTH="600" colspan="1" > <tr><td align="left"><font face="Arial, Helvetica" color="RED" size=5><B>MAIL</B></FONT></td></tr> <tr><td align="left"><UL><font face="Arial, Helvetica" color="#000000" size=4> <LI>CLEP</LI> <LI>P.O. Box 6600</LI> <LI>Princeton, New Jersey 08541 - 6600</LI></UL></FONT></td></tr><BR><BR><BR> <tr><td><font face="Arial, Helvetica" color="RED" size=5><B>PHONE</B></FONT></td></tr> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>(800) 257 9558<BR> CLEP Office Hours are 8 am to 6pm Monday - Friday (If ordering a CLEP Exam over the phone you will need to be prepared to pay by credit card. American Express, Master Card, Visa only)</FONT></td></tr><BR><BR><BR> <tr><td><font face="Arial, Helvetica" color="RED" size=5><B>E-mail</B></FONT></td></tr> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>clep@info.collegeboard.org</FONT></td></tr><BR><BR><BR> <tr><td><font face="Arial, Helvetica" color="RED" size=5><B>FAX</B></FONT></td></tr> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>(609) 771 7088</FONT></td></tr></TABLE></DIV><BR> <div ALIGN="CENTER"><table WIDTH="600" colspan="1"><TR><TD align="right"> <H3><A HREF="#table"><FONT FACE="Arial, Helvetica">RETURN TO TABLE</FONT></A></H3></TD></TR></TABLE></div><BR><BR><BR><BR> <A NAME="option6"></A> <DIV align="center"><table WIDTH="600" colspan="1" > <tr><td ALIGN="CENTER"><font face="Arial, Helvetica" color="BLUE" size="+2">MINIMUM QUALIFYING SCORE</FONT></td></tr></TABLE> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4>Most colleges publish the required scores for earning CLEP credit in their general catalog or in a brochure. The required score for earning CLEP credit may vary from exam to exam, so find out the minimum qualifying score for each exam you're considering. Getting credit for general requirements</FONT></td></tr><BR> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4>At some colleges, you may be able to apply your CLEP credit to the college's core curriculum requirements. For example, all students may be required to take at least six hours of humanities, six hours of English, three hours of mathematics, six hours of natural science, and six hours of social science, with no particular courses in these disciplines specified. In these instances, CLEP credit may be given as "6 hrs. English Credit" or "3 hrs. Math Credit" without specifying for which English or mathematics courses credit has been awarded. Find out before you take a CLEP exam what type of credit you can receive or whether you will be exempted from a required course but receive no credit.</FONT></td></tr> </TABLE></DIV> <div ALIGN="CENTER"><table WIDTH="600" colspan="1"><TR><TD align="right"> <H3><A HREF="#table"><FONT FACE="Arial, Helvetica">RETURN TO TABLE</FONT></A></H3></TD></TR></TABLE></div><BR><BR><BR><BR> <A NAME="option7"></A> <DIV align="center"><table WIDTH="600" colspan="1" > <tr><td ALIGN="CENTER"><font face="Arial, Helvetica" color="BLUE" size="+2">PRIOR COURSE WORK</FONT></td></tr></TABLE> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4>Some colleges won't grant credit for a CLEP exam if you've already attempted a college-level course closely aligned with that exam. For example, if you successfully completed English 101 or a comparable course on another campus, you'll probably not be permitted to receive CLEP credit in that subject also. Some colleges won't permit you to earn CLEP credit for a course that you failed.</FONT></td></tr></TABLE></DIV> <div ALIGN="CENTER"><table WIDTH="600" colspan="1"><TR><TD align="right"> <H3><A HREF="#table"><FONT FACE="Arial, Helvetica">RETURN TO TABLE</FONT></A></H3></TD></TR></TABLE></div><BR><BR><BR><BR> <A NAME="option8"></A> <DIV align="center"><table WIDTH="600" colspan="1" > <tr><td ALIGN="CENTER"><font face="Arial, Helvetica" color="BLUE" size="+2">ADDITIONAL STIPULATIONS</FONT></td></tr></TABLE> <table WIDTH="600" colspan="1"><tr><td><font face="Arial, Helvetica" color="#000000" size=4>Colleges usually award CLEP credit only to their enrolled students. There are other stipulations, however, that vary from college to college. Here are some additional questions to keep in mind and ask your college:<UL><UL> <LI>Do you need to formally apply for CLEP credit by completing and signing a form?</LI> <LI>Do you have to "validate" your CLEP score by successfully completing a more advanced course in the subject?</LI> <LI>Does the college require the optional free-response (essay) section for the examinations in Composition and Literature as well as the multiple-choice portion of the CLEP exam you're considering?</LI> <LI>Will you be required to pass a departmental test such as an essay, laboratory, or oral exam in addition to the CLEP multiple-choice exam?</LI></UL></FONT><BR> <tr><td><font face="Arial, Helvetica" color="#000000" size=4>Knowing the answers to these questions ahead of time will permit you to schedule the optional free-response or departmental exam when you register to take your CLEP exam.</FONT></td></tr></TABLE></DIV> <div ALIGN="CENTER"><table WIDTH="600" colspan="1"><TR><TD align="right"> <H3><A HREF="#table"><FONT FACE="Arial, Helvetica">RETURN TO TABLE</FONT></A></H3></TD></TR></TABLE></div><BR><BR><BR><BR> <A NAME="option9"></A> <DIV align="center"><table WIDTH="600" colspan="1"> <tr><td ALIGN="CENTER"><font face="Arial, Helvetica" color="BLUE" size="+2">SCORES AND TRANSCRIPTS<BR> OF CLEP EXAMS</FONT></td></tr></Table> <table WIDTH="600" colspan="1"> <tr><td align="left"><font face="Arial, Helvetica" color="black" size=4><B>RECEIVING SCORES</B></FONT></td></tr><BR> <tr><td align="left"><font face="Arial, Helvetica" color="#000000" size=4>Normally, you should receive your mathematics exam score report instantly.</td></tr></TABLE> <table WIDTH="600" colspan="1"> <tr><td align="left"><font face="Arial, Helvetica" color="black" size=4><B>SENDING SCORE REPORTS</B></FONT></td></tr><BR> <tr><td align="left"><font face="Arial, Helvetica" color="#000000" size=4>At the time you take the exam, you can indicate in test software the college, employer, or certifying agency that you want to receive your CLEP test scores. There is no additional cost for this service ‹ your exam fee covers it. If you haven't decided by the time you take the test which institution you want to receive your scores, leave that item blank.</td></tr></TABLE> <table WIDTH="600" colspan="1"> <tr><td align="left"><font face="Arial, Helvetica" color="black" size=4><B>OBTAINING CLEP TRANSCRIPTS</B></FONT></td></tr><BR> <tr><td align="left"><font face="Arial, Helvetica" color="#000000" size=4>If you did not indicate a score recipient institution at the time of your exam and you want to request your CLEP scores, you can do so by ordering a CLEP Transcript. This Transcript is a cumulative score report of all the CLEP exams you have taken and the scores you earned in the last 20 years. To obtain a CLEP Transcript:</td></tr></FONT></TABLE> <table WIDTH="600" colspan="1"><UL><tr><td align="left"><font face="Arial, Helvetica" color="#000000" size=4><LI>Download the Transcript Request Form (.pdf/35k). Requires Adobe Acrobat Reader (latest version recommended). Mail the completed form with your payment to CLEP to the address on the form.</LI><BR> <LI>Or call (800) 257-9558 if ordering with a credit card. Please provide your name (at testing time), date of birth, social security number, exam title(s), test date, testing location/center, and where you want your scores to be sent.</LI></UL></FONT></td></tr> </TABLE></DIV> </body>