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9780030151927

Intermediate Course in Algebra : An Interactive Approach

by
  • ISBN13:

    9780030151927

  • ISBN10:

    0030151929

  • Format: Hardcover
  • Copyright: 2000-06-16
  • Publisher: Cengage Learning
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Summary

This book was written to address the challenge of the NCTM and AMATYC Standards and technology integration in the classroom. The authors address the standards using a variety of methods, including Numerical, Graphical, and Algebraic Models; Guided Discovery Activities; Problem Solving; Technology; Collaborative Learning.

Table of Contents

Preface ix
An Introduction to Learning Mathematics, Problem Solving, and Teamwork
1(10)
Functions and Modeling
11(34)
Tables, Graphs, and Equations
12(18)
Introduction to Functions
30(15)
Chapter 1 Summary
42(3)
Linear Functions
45(72)
Slope
47(14)
Graphs of Linear Functions
61(18)
Equations of Linear Functions
79(19)
Systems of Linear Equations
98(19)
Chapter 2 Summary
114(3)
Integer Exponents and Probability
117(40)
Integer Exponents
118(15)
Probability and Counting Techniques
133(24)
Chapter 3 Summary
143(2)
Review
145(12)
Linear Functions Extended
157(54)
Linear Inequalities
158(15)
Compound Inequalities
173(8)
Absolute Value Functions-Graphically
181(10)
Absolute Value Functions-Analytically
191(7)
Statistics
198(13)
Chapter 4 Summary
209(2)
Exponents
211(34)
Reciprocal of Integer Exponents
212(12)
Solving Power Equations
224(9)
Rational Exponents
233(12)
Chapter 5 Summary
243(2)
Exponential Functions
245(38)
Exponential Functions from a Numerical Perspective
246(10)
Graphing Exponential Functions
256(27)
Chapter 6 Summary
271(2)
Review
273(10)
Quadratic Functions
283(68)
Graphs of Quadratic Functions
284(16)
Solving Quadratic Equations
300(15)
Factors, Solutions, and the Discriminant
315(9)
Literal Quadratics
324(7)
Nonlinear Systems and Inequalities
331(11)
Solving Quadratic Equations by Factoring
342(9)
Chapter 7 Summary
349(2)
Geometry and Trigonometry
351(52)
Similar Triangles
352(9)
Scale Drawings
361(12)
Right Triangle Trigonometry
373(15)
Inverse Trigonometry
388(15)
Chapter 8 Summary
400(3)
Functions
403(24)
Functions and Notation
404(10)
Inverse Functions
414(13)
Chapter 9 Summary
425(2)
Logarithmic Functions and Equations
427(1)
Logarithmic Functions
428(11)
Exponential and Logarithmic Equations
439(10)
Chapter 10 Summary
449(2)
Review
451
Appendices
Appendix A The Real Number System
1(5)
Appendix B The Language of Mathematics
6(5)
Appendix C The Cartesian Coordinate System
11(3)
Appendix D Graphing Equations
14(5)
Appendix E Solving Linear and Rational Equations
19(10)
Appendix F Literal Equations and Formulas
29(7)
Appendix G Unit Conversion
36(7)
Geometry Reference 43(4)
Conversion Tables 47
Answers to Selected Problems 1(1)
Index 1(5)
Index of Strategies 6

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