Content Area Mathematics for Secondary Teachers The Problem Solver

, by Cook, Allen P.; Romalis, Natalia

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ISBN: 9781929024957 | 1929024959
Cover: Paperback
Copyright: 5/30/2006

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Supplemental Materials

Preface

Acknowledgments

Arithmetic and Basic Algebra

(28)

Section 1.1 Basic Properties of Real and Complex Numbers

(9)

Section 1.2 Properties of Real Numbers

(9)

Section 1.3 Counting Numbers and Order of Operations

(4)

Section 1.4 Ratio, Proportion, and Percent

(5)

Arithmetic and Algebraic Structures II

(26)

Section 2.1 Algebra, Problem Solving, Linear Functions, and Absolute Values

(5)

Section 2.2 Metrics and Problem Solving

(9)

Section 2.3 Linear and Quadratic Equations and Inequalities

(6)

Section 2.4 Equations and Inequalities Involving Absolute Values and the Triangle Inequality

(5)

Geometry

(54)

Section 3.1 Parallel and Perpendicular Lines, Special Triangles and Parts of Triangles

(5)

Section 3.2 Similar Triangles and the Law of Pythagoras

(3)

Section 3.3 Triangles, Quadrilaterals, and Polygons

(8)

Section 3.4 Circles

(8)

Section 3.5 Areas of Triangles, Quadrilaterals, and Circles

(7)

Section 3.6 Surface Area and Volume

(7)

Section 3.7 Reflections, Rotations, and Translations of Points, Lines, and Polygons in the Plane

(8)

Section 3.8 Constructions and Loci

103

(6)

Trigonometry

109

(30)

Section 4.1 Radian Measure, Basic Trigonometric Functions of the Right Triangle and Unit Circle, Special Angles

110

(10)

Section 4.2 Laws of Sines, Cosines, and Graphs of Trigonometric Functions

120

(7)

Section 4.3 Identities for Sums of Angles, Double Angles, Half Angles, and Sums of Sines and Cosines

127

(6)

Section 4.4 Polar Coordinates, Applications of De Moivre's Theorem

133

(6)

Functions

139

(32)

Section 5.1 Functions and Their Graphs

140

(10)

Section 5.2 Transformations of Functions

150

(13)

Section 5.3 Composite and Inverse Functions

163

(8)

Statistics

171

(30)

Section 6.1 Probability and Statistics

172

(5)

Section 6.2 Counting Techniques, Binomial Expansion, and Pascal's Triangle

177

(6)

Section 6.3 Contingency Tables, Discrete and Compound Probabilities

183

(4)

Section 6.4 Measures of Central Tendency and Dispersion

187

(8)

Section 6.5 Probability Distributions

195

(6)

Vectors and Conic Sections

201

(18)

Section 7.1 Vectors

202

(7)

Section 7.2 Conic Sections

209

(10)

Calculus

219

(46)

Section 8.1 Limits and Their Properties

220

(6)

Section 8.2 Continuity and Derivatives

226

(11)

Section 8.3 Applications of Derivatives

237

(7)

Section 8.4 Integration

244

(11)

Section 8.5 Sequences and Series

255

(10)

Discrete Mathematics

265

(20)

Section 9.1 Logic, Truth Tables, and Sets

266

(6)

Section 9.2 Basic Algebras of Propositions and Sets

272

(3)

Section 9.3 Algorithms, Recursion Formulas, and Induction

275

(4)

Section 9.4 Relations

279

(6)

Linear Algebra

285

(20)

Section 10.1 Matrix Operations

286

(6)

Section 10.2 Matrix Inverses

292

(7)

Section 10.3 Matrix Solutions of Systems of Equations

299

(6)

Answers to Unsolved Problems

305

(16)

Index

321

(4)

About the Authors

325

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Content Area Mathematics for Secondary Teachers The Problem Solver

Table of Contents

Supplemental Materials