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