Chapter 0: Algebra 2/Pre-AP Algebra 2 Prerequisites
Summer Packet
Chapter 1: Expressions, Equations & Inequalities
Video 1: Understanding Interval Notation | Set Builder Notation | Open, Closed, and Infinite Intervals
Video 2: Converting Units with Conversion Factors
Video 3: Solving Multi-Step Equations Containing Fractions.
Video 4: Solving Advanced Literal Equations
Video 5: Solving Compound Inequalities
Video 6: Solving Absolute Value Equations
Video 7: Solving Absolute Value Inequalities
Video 8: Solving Absolute Value Inequalities Word Problems
Chapter 2: Functions & Their Transformations
Video 9: Determine If a Relation is A Function - How to Know If A Function is 1-1?
Video 10: Domain of Radical & Rational Functions
Video 11: Evaluate the Value of Functions
Video 12: Average Rate of Change - Rates of Change in Linear and Quadratic Functions - Concavity - Increasing/Decreasing Functions.
Video 13: Determine if the Function is EVEN or ODD?
Video 14: Transformations of Functions (Translation, Reflection, Dilation) with a Graph & without a Graph
Video 15: Graphs of |f(x)| and f(|x|) from f(x).
Video 16: Inverse Functions.
Video 17: Composition of Functions.
Video 18: Domain of Composite Functions.
Chapter 3: Advanced Linear Functions
Video 19: Determine the Slopes/Rate of Change of Linear Functions.
Video 20: Write the Equations of Parallel & Perpendicular Lines
Video 21: Direct variation/Proportionality.
Video 22: Modeling Functions and Applications | Best-fitting Linear Regression Model.
Video 23: Graphing & Writing Piecewise Functions | Domain & Range | Piecewise Function Related Problems
Video 24: Absolute Value Functions: Characteristics, Graphing, Writing, and Transformation
Video 25: Graphing Linear & Absolute Value Inequalities
Chapter 4: Systems of Equations & Matrices
Video 26: Solving a System of 2 Linear Equations Using a Graphing Calculator.
Video 27: Solving a System of 2 Linear Equations by Substitution.
Video 28: Solving a System of 2 Linear Equations by Elimination.
Video 29: Solving a System of 2 Equations Word Problems.
Video 30: Graphing System of Inequalities.
Video 31: Solving a System of 3 Equations by Substitution, Elimination.
Video 32: Solving a System of 3 Equations Word Problems.
Video 33: Adding, Subtracting, and Multiplying Matrices.
Video 34: Solving the Matrix Equations.
Video 35: Finding the Determinant and Inverse of a Matrix and use it to find the Area of a Triangle.
Video 36: Solving a System of 3 Equations by Cramer's Rule.
Video 37: Solving a System of 3 Equations by Gaussian Elimination.
Video 38: Use An Inverse Matrix to Solve the Linear System of Equations.
Chapter 5: Quadratic Functions, Inequalities, Complex Numbers
Video 39: Factoring trinomials.
Video 40: Factoring Special Cases of polynomials.
Video 41: Factoring Higher-Order Polynomials
Video 43: Characteristics of Quadratic Functions in Standard Form y = ax^2 + bx + c (a#0).
Video 44: Characteristics of Quadratic Functions in Vertex Form y = a(x-h)^2 + k (a#0).
Video 45: Characteristics of Quadratic Functions in Intercept Form y = a(x-p)(x-q) (a#0).
Video 46: Convert Quadratic Functions from Standard Form <=> Vertex Form <=> Intercept Form <=> Standard Form.
Video 47: Maximization/Minimization (Optimization) Problems Using Quadratic Function Models.
Video 48: Simplifying Rational Exponents and Radicals.
Video 49: Writing Quadratic Functions Given Vertex and a Point, Two Zeros, 3 Points, Tables, Word Problems.
Video 50: Solving Quadratic Equations by Factoring.
Video 51: Solving Quadratic Equations by Taking Square Root and Completing Squares.
Video 52: Solving Quadratic Equations Using Quadratic Formula and Graphing Calculator.
Video 53: 5 Different Ways to Solve a Quadratic Equation - Part 1.
Video 54: 5 Different Ways to Solve a Quadratic Equation - Part 2.
Video 55: Add, Subtract, Multiply, and Divide Complex Numbers
Video 56: Write a Quadratic Equation Given Imaginary Solutions.
Video 57: Find the Values of k So That the Equation Has (a) two real solutions, (b) one real solution, and (c) two imaginary solutions.
Video 58: The EASIEST Way to Solve Polynomial Inequalities!
Chapter 6: Square Root & Cube Root Functions & Equations
Video 59: Attributes & Transformations of Square Root Functions.
Video 60: Solving Square Root Equations.
Video 61: Attributes & Transformations of Cube Root Functions.
Video 62: Solving Cube Root Equations.
Chapter 7: Polynomial & Rational Functions
Video 63: Factor Theorem & Remainder Theorem.
Video 64: Rational Root Theorem.
Video 65: Inverse Variation (Indirect Variation/Reciprocal Variation/Inverse Proportionality/Reciprocal Relationship)
Video 66: Simplifying Rational Expressions
Video 67: Add, Subtract, Multiply, and Divide Rational Expressions
Video 68: Solving Rational Equations
Other topic videos can be found in Unit 1 of AP Precalculus tutorial videos.
Chapter 8: Exponential & Logarithmic Functions
Topic videos can be found in Unit 2 of AP Precalculus tutorial videos.
Chapter 9: Trigonometric & Polar Functions
Video 69: Law of Sines
Video 70: Law of Cosines
Other topic videos can be found in Unit 3 of AP Precalculus tutorial videos.
Chapter 10: Conic Sections
Video 71: Writing the Equations of a Circle in Standard Form
Video 72: Convert Circle Equations from Standard Form to General Form.
Video 73: Convert Circle Equations from General Form to Standard Form.
Video 74: Characteristics of an Ellipse
Video 75: Writing the Equation of an Ellipse in Standard Form
Video 76: Convert Ellipse Equations from Standard Form to General Form.
Video 77: Convert Ellipse Equations from General Form to Standard Form.
Video 78: Characteristics of a Parabola
Video 79: Writing the Equation of a Parabola in Standard Form
Video 80: Convert Parabola Equations from Standard Form to General Form.
Video 81: Convert Parabola Equations from General Form to Standard Form.
Video 82: Characteristics of a Hyperbola
Video 83: Writing the Equation of a Hyperbola in Standard Form
Video 84: Convert Hyperbola Equations from Standard Form to General Form.
Video 85: Convert Hyperbola Equations from General Form to Standard Form.
Video 86: Classifying Conic Sections - Circle, Ellipse, Parabola, Hyperbola from General Forms
Assorted Advanced Concepts
Dive into a collection of advanced math concepts!
This series of videos covers a variety of challenging topics designed to deepen your understanding and sharpen your problem-solving skills. Whether you’re preparing for competitions, exams, or just love advanced math, these concepts will push your thinking and expand your toolkit. Ready to level up? Let’s get started!
Explore my playlist of nearly 1000 Math Olympiad problem videos, with new content added regularly. Dive in and challenge yourself!