My AP Calculus AB Preview class is excellent preparation for AP Calculus AB and Math Analysis Calculus Honors (MACH 5).
Registration is closed for Summer 2025.
If you are interested in taking the class during the 2025-26 school year, please contact me.
Registration for Summer 2026 coming soon!
June 29, 2026 to August 7, 2026 (6 weeks)
Mon, Wed, Fri, 4:30-6:30pm (Pacific Time)
Total 36 hours class time
Cost: $1830 (Early Bird price until March 31, 2026)
Note: Cost includes workbook for taking notes and doing assigned homework.
Registration closes April 30, 2026.
$1830 (Early Bird price until May 1, 2025)
$2190
Tests taken at home (outside of class time), graded by me.
Points, Lines, & Planes
Measuring & Constructing Segments
Using Midpoint & Distance Formulas
Perimeter & Area in the Coordinate Plane
Measuring & Constructing Angles
Describing Pairs of Angles
Conditional Statements
Inductive & Deductive Reasoning
Postulates & Diagrams
Algebraic Reasoning
Proving Statements about Segments & Angles
Proving Geometric Relationships
Pairs of Lines & Angles
Parallel Lines & Transversals
Proofs with Parallel Lines
Proofs with Perpendicular Lines
Equations of Parallel and Perpendicular Lines
Translations
Reflections
Rotations
Congruence & Transformations
Dilations
Similarity & Transformations
Angles of Triangles
Congruent Polygons
Proving Triangle Congruence by SAS
Equilateral and Isosceles Triangles
Proving Triangle Congruence by SSS
Proving Triangle Congruence by ASA and AAS
Using Congruent Triangles
Coordinate Proofs
Perpendicular and Angle Bisectors
Bisectors of Triangles
Medians and Altitudes of Triangles
The Triangle Midsegment Theorem
Indirect Proof and Inequalities in One Triangle
Inequalities in Two Triangles
Angles of Polygons
Properties of Parallelograms
Proving That a Quadrilateral is a Parallelogram
Properties of Special Parallelograms
Properties of Trapezoids & Kites
Similar Polygons
Proving Triangle Similarity by AA
Proving Triangle Similarity by SSS & SAS
Proportionality Theorems
The Pythagorean Theorem
Special Right Triangles
Similar Right Triangles
The Tangent Ratio
The Sine & Cosine Ratios
Solving Right Triangles
Law of Sines & Law of Cosines
Lines & Segments That Intersect Circles
Finding Arc Measures
Using Chords
Inscribed Angles & Polygons
Angle Relationships in Circles
Segment Relationships in Circles
Circles in the Coordinate Plane
Circumference & Arc Length
Areas of Circles & Sectors
Areas of Polygons
Three-Dimensional Figures
Volumes of Prisms & Cylinders
Volumes of Pyramids
Surface Areas & Volumes of Cones
Surface Areas & Volumes of Spheres
Sample Spaces & Probability
Independent & Dependent Events
Two-Way Tables & Probability
Probability of Disjoint and Overlapping Events
Permutations & Combinations
Binomial Distributions
Solving Simple Equations
Solving Multi-Step Equations
Solving Equations with Variables on Both Sides
Solving Absolute Value Equations
Rewriting Equations and Formulas
Graphing Linear Equations
Slope of a Line
Slopes of Parallel and Perpendicular Lines
Graphing Linear Equations in Slope-Intercept Form
Graphing Linear Equations in Standard Form
Writing Equations in Slope-Intercept Form
Writing Equations in Point-Slope Form
Writing Equations of Parallel and Perpendicular Lines
Solving Real-Life Problems
Writing and Graphing Inequalities
Solving Inequalities Using Addition or Subtraction
Solving Inequalities Using Multiplication or Division
Solving Multi-Step Inequalities
Solving Compound Inequalities
Graphing Linear Inequalities in Two Variables
Solving Systems of Linear Equations by Graphing
Solving Systems of Linear Equations by Substitution
Solving Systems of Linear Equations by Elimination
Solving Special Systems of Linear Equations
Solving Linear Equations by Graphing
Systems of Linear Inequalities
Domain and Range of a Function
Relations and Functions
Discrete and Continuous Domains
Linear Function Patterns
Function Notation
Special Functions
Comparing Linear and Nonlinear Functions
Arithmetic Sequences
Properties of Square Roots
Properties of Exponents
Radicals and Rational Exponents
Exponential Functions
Solving Exponential Equations
Exponential Growth
Exponential Decay
Geometric Sequences
Polynomials
Adding and Subtracting Polynomials
Multiplying Polynomials
Special Products of Polynomials
Solving Polynomial Equations in Factored Form
Factoring Polynomials Using the GCF
Factoring x^2 + bx + c
Factoring ax^2 + bx + c
Factoring Special Products
Factoring Polynomials Completely
Graphing y = ax^2
Focus of a Parabola
Graphing y = ax^2 + c
Graphing y = ax^2 + bx + c
Graphing y = a(x – h)^2 + k
Comparing Linear, Exponential, and Quadratic Functions
Comparing Graphs of Functions
Solving Quadratic Equations by Graphing
Solving Quadratic Equations Using Square Roots
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations Using the Quadratic Formula
Choosing a Solution Method
Solving Systems of Linear and Quadratic Equations
Graphing Square Root Functions
Rationalizing the Denominator
Solving Square Root Equations
The Pythagorean Theorem
Using the Pythagorean Theorem
Direct and Inverse Variation
Graphing Rational Functions
Inverse of a Function
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Dividing Polynomials
Adding and Subtracting Rational Expressions
Solving Rational Expressions
Measures of Central Tendency
Measures of Dispersion
Box-and-Whisker Plots
Shapes of Distributions
Scatter Plots and Lines of Fit
Analyzing Lines of Fit
1：函数
2：函数图
3：阅读图表
4：变化率
5：使用函数建模
6：二次函数
7：多项式函数
8：除多项式
9：多项式的零点
10：有理函数
11：多项式和有理不等式
12：复合，一对一和反函数
13：指数和对数函数
14：对数的性质
15：指数和对数方程
16：使用指数函数建模
17：三角函数
18：三角图
19：三角函数（使用三角形）
20：反三角函数
21：三角恒等式
22：三角方程
23：向量
24：向量（应用）
25：向量（点积）
26：序列
27：算术和几何序列
Lesson 1: Functions
Lesson 2: Graphs of Functions
Lesson 3: Reading Graphs
Lesson 4: Rates of Change
Lesson 5: Modeling with Functions
Lesson 6: Quadratic Functions
Lesson 7: Polynomial Functions
Lesson 8: Dividing Polynomials
Lesson 9: Zeros of Polynomials
Lesson 10: Rational Functions
Lesson 11: Polynomial and Rational Inequalities
Lesson 12: Composite, One-to-one, and Inverse Functions
Lesson 13: Exponential and Logarithmic Functions
Lesson 14: Properties of Logarithms
Lesson 15: Exponential and Logarithmic Equations
Lesson 16: Modeling with Exponential Functions
Lesson 17: Trigonometric Functions
Lesson 18: Trigonometric Graphs
Lesson 19: Trigonometric Functions (using Triangles)
Lesson 20: Inverse Trigonometric Functions
Lesson 21: Trigonometric Identities
Lesson 22: Trigonometric Equations
Lesson 23: Vectors
Lesson 24: Vectors (Applications)
Lesson 25: Vectors (The Dot Product)
Lesson 26: Sequences
Lesson 27: Arithmetic and Geometric Sequences
Lesson 1: Adding Integers (整数相加)
Lesson 2: Subtracting Integers (整数减法)
Lesson 3: Multiplying Integers (整数乘法)
Lesson 4: Dividing Integers (整数除法)
Lesson 5: Order of Operations (Part 1) (运算顺序第一部分)
Lesson 6: Order of Operations (Part 2) (运算顺序第二部分)
Lesson 7: Negative Fractions and Decimals (负分数和小数)
Lesson 8: Expressions with Variables (带变量的表达式)
Lesson 9: The Distributive Property (分配律)
Lesson 10: Solving Equations (Part 1) (解方程第一部分)
Lesson 11: Solving Equations (Part 2) (解方程第二部分)
Lesson 12: Ratios and Rates (比率和利率)
Lesson 13: Proportions (比例)
Lesson 14: Percents (Part 1) (百分比第一部分)
Lesson 15: Percents (Part 2) (百分比第二部分)
Lesson 16: Areas of Parallelograms (平行四边形的面积)
Lesson 17: Areas of Triangles (三角形)
Lesson 18: Areas of Trapezoids (梯形面积)
Lesson 19: Circles (圆)
Lesson 20: Review (复习)
Lesson 1: Adding Integers
Lesson 2: Subtracting Integers
Lesson 3: Multiplying Integers
Lesson 4: Dividing Integers
Lesson 5: Order of Operations (Part 1)
Lesson 6: Order of Operations (Part 2)
Lesson 7: Negative Fractions and Decimals
Lesson 8: Expressions with Variables
Lesson 9: The Distributive Property
Lesson 10: Solving Equations (Part 1)
Lesson 11: Solving Equations (Part 2)
Lesson 12: Ratios and Rates
Lesson 13: Proportions
Lesson 14: Percents (Part 1)
Lesson 15: Percents (Part 2)
Lesson 16: Areas of Parallelograms
Lesson 17: Areas of Triangles
Lesson 18: Areas of Trapezoids
Lesson 19: Circles
Lesson 20: Review
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