Mathematics Its Power and Utility

An emphasis on problem-solving, step-by-step instruction, and well thought-out pedagogy in every chapter helps math-anxious students build confidence, develop critical-thinking skills, and communicate about mathematics.

Part I Foundations: The Power of mathematics

1

(295)

Arithmetic, Calculators, and Problem Solving

2

(69)

Math Anxiety

2

(7)

Formulating the Problem

9

(10)

Fractions and Decimals

19

(10)

Rounding and Estimation

29

(6)

Exponents and Prime Factorization

35

(9)

Common Fractions

44

(10)

Adding and Subtracting Fractions

54

(10)

Summary and Review

64

(7)

Sets of Numbers

71

(50)

Symbol Shock

71

(9)

Addition of Integers

80

(8)

Subtraction of Integers

88

(5)

Multiplication of Integers

93

(6)

Division of Integers

99

(4)

Rational and Irrational Numbers

103

(12)

Summary and Review

115

(6)

Introduction to Algebra

121

(47)

Polynomials

121

(6)

Similar Terms

127

(3)

Simplification

130

(4)

Equations

134

(8)

Solving Equations

142

(4)

Problem Solving with Algebra

146

(10)

Inequalities

156

(7)

Summary and Review

163

(5)

Percents and Problem Solving

168

(29)

Ratio and Proportion

168

(5)

Problem Solving with Proportions

173

(5)

Percent

178

(7)

Problem Solving with Percents

185

(8)

Summary and Review

193

(4)

Introduction to Geometry

197

(35)

Euclidean Geometry

197

(7)

Polygons and Angles

204

(4)

Triangles

208

(6)

Similar triangles

214

(8)

Summary and Review

222

(10)

Measurement and Problem Solving

232

(63)

Precision, Accuracy, and Estimation

232

(7)

Perimeter

239

(7)

Area

246

(12)

Volume and Capacity

258

(10)

Miscellaneous Measurements

268

(8)

Converting Units

276

(10)

Summary and Review

286

(9)

Part II Applications: The Utility of Mathematics

295

(310)

Applications of Percent

297

(61)

Discount, Sale Price, and Sales Tax

297

(8)

Simple Interest

305

(8)

Buying on Credit

313

(9)

Credit Card Interest

322

(6)

Compound Interest

328

(11)

Buying a Home

339

(10)

Summary and Review

349

(9)

Sets and Logic

358

(45)

Introduction to Sets

358

(8)

Subsets

366

(3)

Operations with Sets

369

(5)

Venn Diagrams

374

(6)

Survey Problems Using Sets

380

(5)

Inductive and Deductive Reasoning

385

(11)

Summary and Review

396

(7)

Probability

403

(41)

Introduction to Probability

403

(13)

Probability Models

416

(6)

Odds and Conditional Probability

422

(7)

mathematical Expectation

429

(11)

Summary and Review

440

(4)

Statistics

444

(50)

Frequency Distributions and Graphs

444

(15)

Measures of central Tendency

459

(7)

Measures of Position

466

(4)

Measures of Dispersion

470

(8)

The Normal Curve

478

(5)

Sampling

483

(4)

Summary and Review

487

(7)

Graphs

494

(111)

Ordered Pairs and the Cartesian Coordinate System

494

(7)

Functions

501

(5)

Lines

506

(6)

Systems and Inequalities

512

(10)

Graphing Curves

522

(10)

Summary and Review

532

(8)

APPENDICES

A. Hindu--Arabic Numeration System

540

(5)

B. Different Numeration Systems

545

(7)

C. Glossary

552

(17)

D. Tables

569

(4)

I. Trigonometric Ratios

569

(1)

II. Monthly Cost to Finance $1,100

570

(1)

III. Mortality Table

571

(2)

E. Answers to Selected Problems

573

(32)

Index

605

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Mathematics Its Power and Utility

Summary

Table of Contents

Supplemental Materials