Dr. Timothy Chae is a former university professor and SAT math specialist with over 20 years of experience helping students dramatically improve their standardized test scores. Through decades of teaching, tutoring, and research, Dr. Chae uncovered a surprising truth: even straight A students often underperform on exams like the SAT, ACT, PSAT, GRE, and GMAT not because they lack knowledge, but because they have been trained to follow rigid procedures instead of developing flexible reasoning and visual thinking skills.
In addition to preparing students for college admissions tests, Dr. Chae has coached AMC competition students and served as a statistical consultant for U.S. Department of Education funded research projects. His approach is not guesswork; it is grounded in real classroom experience, cognitive science, and data driven insights.
This SAT Math book is designed to help students improve their scores by strengthening core skills and building efficient problem-solving strategies. It is carefully structured to guide students through essential concepts, targeted practice, and step-by-step explanations, allowing them to study in the most effective and time-efficient way possible.
- Table of Contents -
Chapter 1 Algebra
1. Linear Equations and Inequalities
2. Systems of Linear Equations
3. Linear Functions
4. Quadratic Equations and Functions
5. Exponents and Radicals
6. Polynomials
7. Rational Expressions
8. Challenging Problems
Practice Problems
Answers and Explanations for Practice Problems
Chapter 2 Advanced Algebra
1. Quadratic Equations and Functions
2. Polynomials
3. Rational Expressions and Equations
4. Radical Expressions and Equations
5. Exponential Functions and Equations
6. Logarithms
7. Challenging Problems
Practice Problems
Answers and Explanations for Practice Problems
Chapter 3 Problem Solving & Data Analysis
1. Ratios, Proportions, and Percentages
2. Units and Dimensional Analysis
3. Rates, Work, Mixture Problems
4. Mean, Median, Mode, Range, Standard Deviation
5. Probability
6. Data Interpretation
Practice Problems
Answers and Explanations for Practice Problems
Chapter 4 Geometry
1. Lines and Angles
2. Triangles
3. Circles
4. Polygons
5. Coordinate Geometry
6. Transformations
7. Volume and Surface Area of 3D Shapes
8. Challenging Problems
Practice Problems
Answers and Explanations for Practice Problems
Chapter 5 Trigonometry
1. Trigonometric Ratios
2. Radians and Degrees
3. Unit Circle Basics
4. Graphs of Trigonometric Functions
5. Trigonometric Identities
6. Challenging Problems
Practice Problems
Answers and Explanations for Practice Problems
Chapter 6 Additional Topics
1. Complex Numbers
2. Matrices
3. Vectors
4. Sequences and Series
5. Challenging Problems
Practice Problems
Answers and Explanations for Practice Problems
Chapter 7 Three SAT Practice Tests with Score Conversion Tables
1.Practice Test (I)
- Category and Difficulty Classification
- Answers and Explanations
- SAT Score Conversion Table
- 800-Point Scale Performance Guide
2. Practice Test (II)
- Category and Difficulty Classification
- Answers and Explanations
- SAT Score Conversion Table
- 800-Point Scale Performance Guide
3. Practice Test (III)
- Category and Difficulty Classification
- Answers and Explanations
- SAT Score Conversion Table
- 800-Point Scale Performance Guide
