
Trigonometry
A Clever Study Guide
James Tanton(Author)
Mathematical Association of America (Publisher)
Published on 30. December 2015
Book
Paperback/Softback
232 pages
978-0-88385-836-3 (ISBN)
Description
This guide covers the story of trigonometry. It is a swift overview, but it is complete in the context of the content discussed in beginning and advanced high-school courses. The purpose of these notes is to supplement and put into perspective the material of any course on the subject you may have taken or are currently taking. (These notes will be tough going for those encountering trigonometry for the very first time!)
Reviews / Votes
The real unique feature of this book is the set of ten problem solving strategies that Tanton employs when he solved the featured problems. ... Tanton references these strategies in his descriptions of solving the featured problems and manages to inject a bit of humor into the work. Trigonometry is a topic that is core to the understanding of basic mathematics and in this book Tanton emphasizes that even experienced mathematicians will look at problems and have an initial reaction of "What?" If you teach trig, there are many interesting and effective pedagogical techniques in this book as well as problems that you can use." - Charles Ashbacher"This clearly written, engaging book combines a summary of high school trigonometry and a guide to problem solving. The book offers teachers ideas about how to present some topics in an interesting way along with a collection of challenging problems involving trigonometry... If you are looking for an excellent collection of challenging problems that use trigonometry or for a well-written review of trigonometry, this book would be a good choice." - Mathematics Teacher
"...This book collects the most meaningful results from trigonometry and, in addition to reviewing them for the reader, includes a robust collection of problems from previous contests, where their value to competitors can be easily demonstrated. While this is not a textbook, a nice added feature is the connections to Common Core state standards. It's good to see that contest mathematics need not be separate from day-to-day classroom mathematics, and that there's more to contest uses of trigonometry than just clever tricks..." - Mark Bollman, MAA Reviews
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 229 mm
Width: 152 mm
Weight
319 gr
ISBN-13
978-0-88385-836-3 (9780883858363)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
About these Study Guides
This Guide and Mathematics Competitions
On Competition Names
On Competition Success
This Guide and the Craft of Solving Problems
This Guide and Mathematics Content: Trigonometry
For Educators: This Guide and the Common Core State Standards
Part I: Trigonometry
1. The Backbone Theorem: The Pythagorean Theorem
2. Some Surprisingly Helpful Background History
3. The Basics of "Circle-ometry"
4. Radian Measure
5. The Graphs of Sine and Cosine in Degrees
6. The Graphs of Sine and Cosine in Radians
7. Basic Trigonometric Identities
8. Sine and Cosine for Circles of Different Radii
9. A Paradigm Shift
10. The Basics of Trigonometry
11. The Tangent, Cotangent, Secant, and Cosecant Graphs
12. Inverse Trigonometric Functions
13. Addition and Subtraction Formulas; Double and Half Angle Formulas
14. The Law of Cosines
15. The Area of a Triangle
16. The Law of Sines
17. Heron's Formula for the Area of a Triangle
18. Fitting Trigonometric Functions to Periodic Data
19. (EXTRA) Polar Coordinates
20. (EXTRA) Polar Graphs
Part II: Solutions
Solutions
Appendix: Ten Problem-Solving Strategies
This Guide and Mathematics Competitions
On Competition Names
On Competition Success
This Guide and the Craft of Solving Problems
This Guide and Mathematics Content: Trigonometry
For Educators: This Guide and the Common Core State Standards
Part I: Trigonometry
1. The Backbone Theorem: The Pythagorean Theorem
2. Some Surprisingly Helpful Background History
3. The Basics of "Circle-ometry"
4. Radian Measure
5. The Graphs of Sine and Cosine in Degrees
6. The Graphs of Sine and Cosine in Radians
7. Basic Trigonometric Identities
8. Sine and Cosine for Circles of Different Radii
9. A Paradigm Shift
10. The Basics of Trigonometry
11. The Tangent, Cotangent, Secant, and Cosecant Graphs
12. Inverse Trigonometric Functions
13. Addition and Subtraction Formulas; Double and Half Angle Formulas
14. The Law of Cosines
15. The Area of a Triangle
16. The Law of Sines
17. Heron's Formula for the Area of a Triangle
18. Fitting Trigonometric Functions to Periodic Data
19. (EXTRA) Polar Coordinates
20. (EXTRA) Polar Graphs
Part II: Solutions
Solutions
Appendix: Ten Problem-Solving Strategies