Softcover ISBN:  9781470443498 
Product Code:  PRB/29 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781470448868 
Product Code:  PRB/29.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Softcover ISBN:  9781470443498 
eBook: ISBN:  9781470448868 
Product Code:  PRB/29.B 
List Price:  $115.00 $90.00 
MAA Member Price:  $86.25 $67.50 
AMS Member Price:  $86.25 $67.50 
Softcover ISBN:  9781470443498 
Product Code:  PRB/29 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781470448868 
Product Code:  PRB/29.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Softcover ISBN:  9781470443498 
eBook ISBN:  9781470448868 
Product Code:  PRB/29.B 
List Price:  $115.00 $90.00 
MAA Member Price:  $86.25 $67.50 
AMS Member Price:  $86.25 $67.50 

Book DetailsProblem BooksVolume: 29; 2018; 218 ppMSC: Primary 97
A playful, readable, and thorough guide to precalculus, this book is directed at readers who would like a holistic look at the high school curriculum material on functions and their graphs. Tanton provides a coherent guided tour of exploration and discovery of a rich mathematical landscape. The exploration is presented through problems selected from the history of the Mathematical Association of America's American Mathematics Competition (AMC).
Secondary school teachers looking for supplementary and enrichment materials will find this a rich resource, which aligns with national curriculum standards. High school and college calculus and precalculus students will discover an approachable and thoughtprovoking review, preview, and overview of these central mathematical ideas. Students preparing for the AMC should find it especially helpful. Active reading, with pencil in hand, will result in a deep appreciation and understanding of the properties of functions.
James Tanton is the MAA's mathematicianatlarge. A research mathematician with experience teaching at both the college and high school levels, he now works to encourage and aid all mathematics instructors to teach—and all mathematics students to learn—joyously and effectively.
ReadershipUndergraduate students interested in teaching secondary mathematicis, high schoollevel contest problems, and math circles for teachers.

Table of Contents

Chapters

Part I. Functions and Graphs

Chapter 1. What Is a Function? A Swift Conceptual Overview

Chapter 2. Sequences as Functions on $\mathbb {N}$

Chapter 3. Numerical Functions on $\mathbb {R}$

Chapter 4. Composite Functions and Inverse Functions

Chapter 5. Graphing

Chapter 6. Transformations of Graphs

Chapter 7. Average Rate of Change, Constant Rate of Change

Chapter 8. Quadratic Functions

Chapter 9. Polynomial Functions

Chapter 10. Rational Functions

Chapter 11. Select Special Functions and Equations

Chapter 12. Fitting Formulas to Data Points

Part II. Solutions

Solutions

Part III. Appendices

Appendix I. Ten ProblemSolving Strategies

Appendix II. Connections to the Common Core State Standards: Practice Standards and Content Standards


Additional Material

Reviews

The success here is twofold, one of tone and explanation while also tackling topics not typically seen at this level, yet key to later success.
Tom Schulte, MAA Reviews


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A playful, readable, and thorough guide to precalculus, this book is directed at readers who would like a holistic look at the high school curriculum material on functions and their graphs. Tanton provides a coherent guided tour of exploration and discovery of a rich mathematical landscape. The exploration is presented through problems selected from the history of the Mathematical Association of America's American Mathematics Competition (AMC).
Secondary school teachers looking for supplementary and enrichment materials will find this a rich resource, which aligns with national curriculum standards. High school and college calculus and precalculus students will discover an approachable and thoughtprovoking review, preview, and overview of these central mathematical ideas. Students preparing for the AMC should find it especially helpful. Active reading, with pencil in hand, will result in a deep appreciation and understanding of the properties of functions.
James Tanton is the MAA's mathematicianatlarge. A research mathematician with experience teaching at both the college and high school levels, he now works to encourage and aid all mathematics instructors to teach—and all mathematics students to learn—joyously and effectively.
Undergraduate students interested in teaching secondary mathematicis, high schoollevel contest problems, and math circles for teachers.

Chapters

Part I. Functions and Graphs

Chapter 1. What Is a Function? A Swift Conceptual Overview

Chapter 2. Sequences as Functions on $\mathbb {N}$

Chapter 3. Numerical Functions on $\mathbb {R}$

Chapter 4. Composite Functions and Inverse Functions

Chapter 5. Graphing

Chapter 6. Transformations of Graphs

Chapter 7. Average Rate of Change, Constant Rate of Change

Chapter 8. Quadratic Functions

Chapter 9. Polynomial Functions

Chapter 10. Rational Functions

Chapter 11. Select Special Functions and Equations

Chapter 12. Fitting Formulas to Data Points

Part II. Solutions

Solutions

Part III. Appendices

Appendix I. Ten ProblemSolving Strategies

Appendix II. Connections to the Common Core State Standards: Practice Standards and Content Standards

The success here is twofold, one of tone and explanation while also tackling topics not typically seen at this level, yet key to later success.
Tom Schulte, MAA Reviews