內容簡介
本叢書由新東方從美國巴朗教育出版公司獨家引進,是備考SAT考試的必備輔導用書。本書是關於數學部分的專項指南,介紹了數學考試的總體特點,針對數學各部分知識內容分析解題技巧,總結備考策略。同時,書中還提供大量練習題和全真模考題,並配有詳盡的解析。本書適用於備考新SAT數學考試的所有考生,幫助考生實現全面突破。
圖書目錄
目 錄
Preface .....................................................................................................................................iii
LEARNING ABOUT SAT MATH
1 Know What You’re Up Against ..........................................................................................3
Lesson 1-1 Getting Acquainted with the Redesigned SAT ......................................................4
Lesson 1-2 Multiple-Choice Questions ....................................................................................9
Lesson 1-3 Grid-In Questions ..................................................................................................14
2 SAT Math Strategies ...........................................................................................................21
Lesson 2-1 SAT Math Strategies You Need to Know .............................................................22
Lesson 2-2 Guessing and Calculators on the SAT ...................................................................71
THE FOUR MATHEMATICS CONTENT AREAS
3 Heart of Algebra..................................................................................................................81
Lesson 3-1 Some Beginning Math Facts .................................................................................82
Lesson 3-2 Solving Linear Equations ......................................................................................91
Lesson 3-3 Equations with More Than One Variable .............................................................100
Lesson 3-4 Polynomials and Algebraic Fractions ...................................................................106
Lesson 3-5 Factoring................................................................................................................114
Lesson 3-6 Quadratic Equations..............................................................................................122
Lesson 3-7 Systems of Equations ............................................................................................127
Lesson 3-8 Algebraic Inequalities ...........................................................................................138
Lesson 3-9 Absolute Value Equations and Inequalities ..........................................................144
Lesson 3-10 Graphing in the xy-Plane ....................................................................................149
Lesson 3-11 Graphing Linear Systems ...................................................................................168
Lesson 3-12 Working with Functions .....................................................................................177
Answer Key for Chapter 3 Tune-Up Exercises ......................................................................189
4 Problem Solving and Data Analysis .................................................................................193
Lesson 4-1 Working with Percent ..........................................................................................194
Lesson 4-2 Ratio and Variation ..............................................................................................200
Lesson 4-3 Rate Problems ......................................................................................................209
Lesson 4-4 Converting Units of Measurement .......................................................................215
Lesson 4-5 Linear and Exponential Functions ........................................................................220
Lesson 4-6 Graphs and Tables ................................................................................................234
Lesson 4-7 Scatterplots and Sampling ....................................................................................245
Lesson 4-8 Summarizing Data Using Statistics ......................................................................253
Answer Key for Chapter 4 Tune-Up Exercises ......................................................................261
5 Passport To Advanced Math ............................................................................................263
Lesson 5-1 Rational Exponents .............................................................................................264
Lesson 5-2 More Advanced Algebraic Methods ...................................................................270
Lesson 5-3 Complex Numbers ..............................................................................................280
Lesson 5-4 Completing The Square ......................................................................................285
Lesson 5-5 The Parabola and Its Equations ..........................................................................292
Lesson 5-6 Reflecting and Translating Function Graphs ......................................................305
Answer Key for Chapter 5 Tune-Up Exercises .....................................................................316
6 Additional Topics in Math ..............................................................................................317
Lesson 6-1 Reviewing Basic Geometry Facts.......................................................................318
Lesson 6-2 Area of Plane Figure...........................................................................................328
Lesson 6-3 Circles and Their Equations ...............................................................................339
Lesson 6-4 Solid Figures.......................................................................................................355
Lesson 6-5 Basic Trigonometry ...........................................................................................365
Lesson 6-6 The Unit Circle ...................................................................................................377
Answer Key for Chapter 6 Tune-Up Exercises ....................................................................386
SOLUTIONS FOR TUNE-UP EXERCISES
Worked out solutions for Chapters 3–6.................................................................................391
TAKING PRACTICE TESTS
Practice Test 1......................................................................................................................483
Answer Key ...........................................................................................................................506
Answer Explanations for Practice Test 1..............................................................................508
Practice Test 2......................................................................................................................521
Answer Key ...........................................................................................................................545
Answer Explanations for Practice Test 2...............................................................................547
How to Evaluate Your Performance on a Practice Test...................................................559
作者簡介
Lawrence S. Leff:美國紐約市富蘭克林羅斯福高中前助理校長和數學部主席。從事數學教育多年,是美國資深的SAT考試與教育專家。