(美)约翰迪尔(John J. Diehl),美国伊利诺斯州欣斯代尔中区高中数学系教授,AP统计学考试评分人,AP统计学测试发展委员会成员。出版的图书有《SAT II 数学 level 1》《SAT II 数学 level 2》等。
(美)克里斯蒂乔伊斯(Christine E. Joyce),AP统计学考试评分人,AP统计学测试发展委员会成员。出版的图书有《SAT II 数学 level 1》《SAT II 数学 level 2》等。
目錄:
PART I: ABOUT THE SAT MATH LEVEL 2 TEST 1
Chapter 1:Test Basics 3
About the Math Level 2 Test 3
When to Take the Test 4
The Level 1 vs. Level 2 Test 5
Scoring 5General Test-Taking Strategies 6
Chapter 2:Calculator Tips 7
On the Day of the Test 8
Chapter 3:Diagnostic Test 9
Answer Sheet for the Diagnostic Test 11
Diagnostic Test Questions 14
Answer Key 27Answers and Solutions 27
Diagnose Your Strengths and Weaknesses 35
PART II: MATH REVIEW 37
Chapter 4:Algebra 39
Evaluating Expressions 41
Fractions 41
Percentages 46
Exponents 47
Real Numbers 52
Absolute Value 56
Radical Expressions 57
Polynomials 60
Quadratic Equations 64
Inequalities 68
Rational Expressions 71
Systems 74
Binomial Theorem 79
Chapter 5:Solid Geometry 81
Vocabulary for Polyhedra 82
Review of Area Formulas 83
Prisms 84
Cylinders 87
Pyramids 88
Cones 90
Spheres 92
Volume Ratio of Similar Figures 93
Coordinates in Three Dimensions 94
Chapter 6:Coordinate Geometry 96
Plotting Points 97
Midpoint 99Distance 99
Slope 101
Slope of Parallel and Perpendicular Lines 102
Equations of Lines 102
Circles 106Parabolas 108
Ellipses 111
Hyperbolas 112
Graphing Inequalities 114
Graphing Absolute Value 115
Symmetry 116
Transformations 117
Polar Coordinates 118
Chapter 7:Trigonometry 120
Right Triangle Trigonometry 121
Relationships Among Trigonometric Ratios 123
Special Right Triangles 127
Trigonometric Identities 128
Radian Measure 129
Law of Cosines 130
Law of Sines 131
Trigonometric Equations 133
Double Angle Formulas 134
Chapter 8:Functions 136
Function Notation 137
Functions vs. Relations 140
Composition of Functions 143
Determining the Maximum or Minimum 144
The Roots of a Quadratic Function 146
Inverse Functions 147
Rational Functions 149
Higher-Degree Polynomial Functions 150
Exponential Functions 154
Logarithmic Functions 155
Trigonometric Functions 159
Inverse Trigonometric Functions 163
Periodic Functions 165
Piecewise Functions 167
Recursive Functions 168
Parametric Functions 169
Chapter 9:Data Analysis, Statistics, and Probability 171
Mean, Median, Mode 172
Range 173
Interquartile Range 174
Standard Deviation 174
Data Interpretation 175
Regression 177
Probability 181
Chapter 10:Numbers and Operations 184
Invented Operations 185
In Terms of Problems 186
Ratio and Proportion 186
Complex Numbers 187
Counting Problems 189
Number Theory 191
Logic 192
Matrices 194
Sequences 197
Series 199
Vectors 201
Limits 202
PART III: EIGHT PRACTICE TESTS 205
Practice Test 1 207
Answer Sheet for Practice Test 1 209
Practice Test 1 Questions 212
Answer Key 223
Answers and Solutions 223
Diagnose Your Strengths and Weaknesses 231
Practice Test 2 233
Answer Sheet for Practice Test 2 235
Practice Test 2 Questions 238
Answer Key 249
Answers and Solutions 249
Diagnose Your Strengths and Weaknesses 255
Practice Test 3 257
Answer Sheet for Practice Test 3 259
Practice Test 3 Questions 262
Answer Key 271
Answers and Solutions 271
Diagnose Your Strengths and Weaknesses 279
Practice Test 4 281
Answer Sheet for Practice Test 4 283
Practice Test 4 Questions 286
Answer Key 297
Answers and Solutions 297
Diagnose Your Strengths and Weaknesses 303
Practice Test 5 305
Answer Sheet for Practice Test 5 307
Practice Test 5 Questions 310
Answer Key 321
Answers and Solutions 321
Diagnose Your Strengths and Weaknesses 327
Practice Test 6 329
Answer Sheet for Practice Test 6 331
Practice Test 6 Questions 334
Answer Key 345
Answers and Solutions 345
Diagnose Your Strengths and Weaknesses 351
Practice Test 7 353
Answer Sheet for Practice Test 7 355
Practice Test 7 Questions 358
Answer Key 369
Answers and Solutions 369
Diagnose Your Strengths and Weaknesses 375
Practice Test 8 377
Answer Sheet for Practice Test 8 379
Practice Test 8 Questions 382
Answer Key 393
Answers and Solutions 393
Diagnose Your Strengths and Weaknesses 399
二、 考试简介
SAT考试分为两部分:
1. SAT I(SAT Reasoning Test):包括数学、阅读、文法3个必考科目和1个作文选考科目,考试时间为3小时50分钟(其中选考作文50分钟),各部分的测试内容、测试题型和分值如下:
数学部分:
测试内容
测试题型
分值
运算能力、代数与函数、几何、数据分析、统计学及基础概率论
选择题、填空题
800
阅读 文法部分:
测试内容
测试题型
分值
阅读:批判性阅读与句子理解
选择题
800
文法:语法、文意表达
选择题
写作部分:
测试内容
测试题型
总分值
阅读、分析、写作
分析性写作
8
2. SAT II (SAT Subject Tests): 包括数学、物理、化学、生物、文学、美国历史、世界历史、外语(汉语、日语、德语、法语、西班牙语、拉丁语等20种)。部分美国名校只要求中国留学申请人提供SAT I的成绩,部分院校及专业要求申请人提供SAT II的单科考试成绩。
SAT II考试时间为1小时,大部分为选择题,每科满分为800分,主要考查考生某一学科的知识和运用这些知识的能力。