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Trigonometry

Overview

NEW from REA…Groundbreaking, Easy-to-Use Workbook Series for Students Struggling with Math

REA’s Ready, Set, Go! Series is a Perfect Study Tool for Exit Exams, End-of-Course Exams, or Graduation Exams

Many students continue to struggle in high school math courses because they failed to master the basic mathematical skills. REA’s new Ready, Set, Go! Workbook series takes the confusion out of math, helping ...

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Overview

NEW from REA…Groundbreaking, Easy-to-Use Workbook Series for Students Struggling with Math

REA’s Ready, Set, Go! Series is a Perfect Study Tool for Exit Exams, End-of-Course Exams, or Graduation Exams

Many students continue to struggle in high school math courses because they failed to master the basic mathematical skills. REA’s new Ready, Set, Go! Workbook series takes the confusion out of math, helping students raise their grades and score higher on important exams.

What makes REA’s workbooks different? For starters, students will actually like using them. Here’s why:

  • Math is explained in simple language, in an easy-to-follow style
  • The workbooks allow students to learn at their own pace and master the subject
  • 15 lessons break down the material into the basics
  • Each lesson is fully devoted to a key math concept and includes many step-by-step examples
  • Paced instruction with drills and quizzes reinforces learning
  • The innovative “Math Flash” feature offers helpful tips and strategies in each lesson—including advice on common mistakes to avoid
  • Skill scorecard measures the student’s progress and success
  • Every answer to every question, in every test, is explained in full detail
  • A final exam is included so students can test what they’ve learned

When students apply the skills they’ve mastered in our workbooks, they can do better in class, raise their grades, and score higher on the all-important end-of-course, graduation, and exit exams.

Some of the math topics covered in the Ready, Set, Go! Trigonometry Workbook include:

  • Trigonometric Ratios
  • Graphing Points and Angles
  • Special Angles
  • Inverse Trigonometric Values
  • Solving Triangles
  • Solving Four-Sided Figures
  • Solving Trigonometric Equations and more!

Whether used in a classroom, for home or self study, or with a tutor, this workbook gets students ready for important math tests and exams, set to take on new challenges, and helps them go forward in their studies!

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Product Details

  • ISBN-13: 9780738604558
  • Publisher: Research & Education Association
  • Publication date: 11/25/2008
  • Series: Mathematics Learning and Practice
  • Edition description: Trade Edition
  • Pages: 224
  • Sales rank: 418,274
  • Product dimensions: 8.30 (w) x 10.70 (h) x 0.70 (d)

Meet the Author

About the Author
Author Mel Friedman is a former classroom teacher and test-item writer for Educational Testing Service and ACT, Inc.

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Read an Excerpt

Welcome to the Ready, Set, Go! Trigonometry Workbook!
 
About This Book
This book will help high school math students at all learning levels understand basic trigonometry. Students will develop the skills, confidence, and knowledge they need to succeed on high school math exams with emphasis on passing high school graduation exams.
 
Fifteen easy-to-follow lessons break down the material into the basics. In-depth, step-by-step examples and solutions reinforce student learning, while the “Math Flash” feature provides useful tips and strategies, including advice on common mistakes to avoid.
 
Students can take drills and quizzes to test themselves on the subject matter, then review any areas in which they need improvement or additional reinforcement. The book concludes with a final exam, designed to comprehensively test what students have learned. TheReady, Set, Go! Trigonometry Workbook will help students master the basics of mathematics — and help them face their next math test — with confidence!
 
To the Student
This workbook will help you master the fundamentals of trigonometry. It offers you the support you need to boost your skills and helps you succeed in school and beyond! It takes the guesswork out of math by explaining what you most need to know in a step-by-step format.
 
When you apply what you learn from this workbook, you can do better in class, raise your grades, and score higher on your high school math exams. Each compact lesson in this book introduces a math concept and explains the method behind it in plain language. This is followed with lots of examples with fully worked-out solutions that take you through the key points of each problem.
The book gives you two tools to measure what you learn along the way: short drills that follow each lesson and quizzes that test you on multiple lessons These tools are designed to comfortably build your test-taking confidence.
 
Meanwhile, the “Math Flash” feature throughout the book offers helpful tips and strategies — including advice on how to avoid common mistakes. When you complete the lessons, take the final exam at the end of the workbook to see how far you’ve come. If you still need to strengthen your grasp on any concept, you can always go back to the related lesson and review at your own pace.
 
To the Parent
For many students, math can be a challenge — but with the right tools and support, your child can master the basics of trigonometry.
 
As educational publishers, our goal is to help all students develop the crucial math skills they’ll need in school and beyond. This Ready, Set, Go! Workbook is intended for students who need to build their basic trigonometry skills. It was specifically created and designed to assist students who need a boost in understanding and learning the math concepts that are most tested along the path to graduation.
 
Through a series of easy-to-follow lessons, students are introduced to the essential mathematical ideas and methods, and then take short quizzes to test what they are learning. Each lesson is devoted to a key mathematical building block. The concepts and methods are fully explained, then reinforced with examples and detailed solutions. Your child will be able to test what he or she has learned along the way, and then take a cumulative exam found at the end of the book.
 
Whether used in school with teachers, for home study, or with a tutor, the Ready, Set, Go! Workbook is a great support tool. It can help improve your child’s math proficiency in a way that’s fun and educational!
 
To the Teacher
As you know, not all students learn the same, or at the same pace. And most students require additional instruction, guidance, and support in order to do well academically.
 
Using the Curriculum Focal Points of the National Council of Teachers of Mathematics, this workbook was created to help students increase their math abilities and succeed on high school exams with special emphasis on high school proficiency exams. The book’s easy-to-follow lessons offer a review of the basic material, supported by examples and detailed solutions that illustrate and reinforce what the students have learned.
 
To accommodate different pacing for students, we provide drills and quizzes throughout the book to enable students to mark their progress. This approach allows for the mastery of smaller chunks of material and provides a greater opportunity to build mathematical competence and confidence.
 
When we field-tested this series in the classroom, we made every effort to ensure that the book would accommodate the common need to build basic math skills as effectively and flexibly as possible. Therefore, this book can be used in conjunction with lesson plans, stand alone as a single teaching source, or be used in a group-learning environment. The practice quizzes and drills can be given in the classroom as part of the overall curriculum or used for independent study. A cumulative exam at the end of the workbook helps students (and their instructors) gauge their mastery of the subject matter.
 
We are confident that this workbook will help your students develop the necessary skills and build the confidence they need to succeed on high school math exams.
 

About the Author
Author Mel Friedman is a former classroom teacher and test-item writer for Educational Testing Service and ACT, Inc.
 
About Research & Education Association
Founded in 1959, Research & Education Association (REA) is dedicated to publishing the finest and most effective educational materials — including software, study guides, and test preps — for students in elementary school, middle school, high school, college, graduate school, and beyond. Today, REA’s wide-ranging catalog is a leading resource for teachers, students, and professionals.
 
We invite you to visit us at www.rea.com to find out how “REA is making the world smarter.”
 

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Table of Contents

INTRODUCTION
About This Book
Icons Explained
Letters to Students, Parents, and Teachers
About REA
Acknowledgments
 
Lesson 1 Graphs of Points and Angles
Rectangular coordinate system
Types of angles
Radians
Test Yourself!
 
Lesson 2 Basics of Trigonometric Ratios — Part 1
Standard position of an angle
Quadrantal angles
Sine ratio
Test Yourself!
 
Lesson 3 Basics of Trigonometric Ratios — Part 2
Measurement of angles greater than 90º
Reference angles
Cosine ratio
Test Yourself!
 
Lesson 4 Basics of Trigonometric Ratios — Part 3
Tangent ratio
Relationship among the sine, cosine, and tangent ratios
Test Yourself!
 
Lesson 5 Basics of Trigonometric Ratios — Part 4
Cosecant ratio
Secant ratio
Cotangent ratio
Trigonometric identities
Test Yourself!
QUIZ ONE (Lessons 1–5)
 
Lesson 6 Special Angles and Trigonometric Ratio Values
Trigonometric ratios for quadrantal angles
Trigonometric ratios for a 30º-60º-90º triangle
Trigonometric ratios for a 45º-45º-90º triangle
Test Yourself!
 
Lesson 7 Inverse Trigonometric Values
Definition of the inverses of trigonometric ratios
Inverses of tangent, sine, and cosine ratios
Inverses of cotangent, cosecant, and secant ratios
Test Yourself!
 
Lesson 8 Right Triangles — Part 1
Solve for a missing side, given the values of two sides
Solve for a missing side, given the values of a side and an angle
Solve for a missing angle, given the values of two sides
Word problem applications
Test Yourself!
 
Lesson 9 Right Triangles — Part 2
Solve for missing angles or sides for two overlapping triangles
Solve for missing angles or sides for two triangles with a common side
Test Yourself!
QUIZ TWO (Lessons 6–9)
 
Lesson 10 Oblique Triangles — Part 1
Law of Sines
Solving for a side, given the values of two angles and a non-included side
Solving for a side, given the values of two angles and an included side
Solving for an angle, given the values of two sides and a non-included angle
Test Yourself!
 
Lesson 11 Oblique Triangles — Part 2
Law of Cosines
Solving for a side, given the values of two sides and an included angle
Solving for an angle, given the values of all three sides
Heron’s formula for the area of a triangle
Test Yourself!
 
Lesson 12 Four-Sided Figures
Solving for missing side or diagonal of a square
Solving for missing side, diagonal or angle of a rectangle
Solving for missing side, diagonal or angle of a rhombus
Solving for missing side, diagonal or angle of a parallelogram
Test Yourself!
QUIZ THREE (Lessons 10–12)
 
Lesson 13 Trigonometric Equations — Part 1
Solving linear equations in one trigonometric ratio
Solving simple quadratic equations in one trigonometric ratio
Solving quadratic equations in one trigonometric ratio by factoring
Test Yourself!
 
Lesson 14 Trigonometric Equations — Part 2
Solving equations in two trigonometric ratios, using identities
Test Yourself!
 
Lesson 15 Trigonometric Equations — Part 3
Solving linear equations in one trigonometric ratio of a double angle
Solving quadratic equations in one trigonometric ratio of a double angle by factoring
Solving quadratic equations in sine and cosine ratios of a double angle by factoring
Test Yourself!
QUIZ FOUR (Lessons 13–15)
 
CUMULATIVE EXAM
ANSWER KEY
SCORECARD

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