2016;
274 pp;
Hardcover

MSC: Primary 97; 00;

Print ISBN: 978-1-4704-2721-4

Product Code: MBK/99

List Price: $59.00

AMS Member Price: $47.20

MAA Member Price: $53.10

**Electronic ISBN: 978-1-4704-3019-1
Product Code: MBK/99.E**

List Price: $59.00

AMS Member Price: $47.20

MAA Member Price: $53.10

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#### Supplemental Materials

# Teaching School Mathematics: Algebra

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*Hung-Hsi Wu*

This is a systematic exposition of introductory school algebra written specifically for Common Core era teachers. The emphasis of the exposition is to give a mathematically correct treatment of introductory algebra. For example, it explains the proper use of symbols, why “variable” is not a mathematical concept, what an equation is, what equation-solving means, how to define the slope of a line correctly, why the graph of a linear equation in two variables is a straight line, why every straight line is the graph of a linear equation in two variables, how to use the shape of the graph of a quadratic function as a guide for the study of quadratic functions, how to define a parabola correctly, why the graph of a quadratic function is a parabola, why all parabolas are similar, etc. This exposition of algebra makes full use of the geometric concepts of congruence and similarity, and it justifies why the Common Core Standards on algebra are written the way they are.

#### Readership

Teachers of middle school mathematics; students and professionals interested in mathematical education.

#### Table of Contents

# Table of Contents

## Teaching School Mathematics: Algebra

- Cover Cover11
- Title page iii4
- Chapters in the Companion Volume ix10
- Preface xi12
- Suggestions on How to Read This Volume xix20
- Chapter 1. Symbolic Expressions 122
- Chapter 2. Translation of Verbal Information into Symbols 2748
- Chapter 3. Linear Equations in One Variable 3758
- Chapter 4. Linear Equations in Two Variables and Their Graphs 5374
- Chapter 5. Simultaneous Linear Equations 85106
- Chapter 6. Functions and Their Graphs 117138
- Chapter 7. Linear Functions and Proportional Reasoning 137158
- Chapter 8. Linear Inequalities and Their Graphs 155176
- 8.1. How do inequalities arise in real life? 155176
- 8.2. The symbolic translation 157178
- 8.3. Basic facts about inequalities and applications 160181
- 8.4. Graphs of inequalities in the plane 163184
- 8.5. Solution of the manufacturing problem 180201
- 8.6. Behavior of linear functions in the plane 187208

- Chapter 9. Exponents 191212
- Chapter 10. Quadratic Functions and Their Graphs 223244
- Appendix: Facts from [Wu-PreAlg] 265286
- Bibliography 273294
- Back Cover Back Cover1296