Unit 0: Algebra 2/Pre-AP Algebra 2 Prerequisites
Summer Packet
Unit 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.
Unit 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/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.
Unit 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 & Writing Linear & Absolute Value Inequality Functions.
Video 26: Graphing System of Multiple Inequalities (Linear Inequalities, Absolute Value Inequalities, Quadratic Inequalities, Radical Inequalities).
Unit 4: Systems of Equations & Matrices
Video 27: Solving a System of 2 Linear Equations Using a Graphing Calculator.
Video 28: Solving a System of 2 Linear Equations by Substitution.
Video 29: Solving a System of 2 Linear Equations by Elimination.
Video 30: Solving a System of 3 Equations by Substitution, Elimination.
Video 31: Solving a System of 2 & 3 Equations Word Problems.
Video 32: Adding, Subtracting, and Multiplying Matrices.
Video 33: Finding the Determinant of 2x2 Matrices.
Video 34: Finding the Determinant of 3x3 Matrices.
Video 35: Finding the Inverse of 2x2 Matrices.
Video 36: Finding the Inverse of 3x3 Matrices Using Adjoint & Cofactor Method.
Video 37: Finding the Inverse of 3x3 Matrices Using Gauss-Jordan Elimination.
Video 38: Finding the Area of a Triangle Using Matrix.
Video 39: Solving the Matrix Equations.
Video 40: Using Inverse Matrices to Solve the Linear System of Equations.
Video 41: Solving a System of Equations by Cramer's Rule.
Video 42: Solving a System of Equations by Gauss-Jordan Elimination.
Unit 5: Quadratic Functions, Inequalities, Complex Numbers
Video 43: Factoring Trinomials.
Video 44: Factoring Special Cases of Polynomials.
Video 45: Advanced Factoring of Polynomials.
Video 46: Characteristics of Quadratic Functions in Standard Form y = ax^2 + bx + c (a#0).
Video 47: Characteristics of Quadratic Functions in Vertex Form y = a(x-h)^2 + k (a#0).
Video 48: Characteristics of Quadratic Functions in Intercept Form y = a(x-p)(x-q) (a#0).
Video 49: Convert Quadratic Functions from Standard Form <=> Vertex Form <=> Intercept Form <=> Standard Form.
Video 50: Maximization/Minimization (Optimization) Problems Using Quadratic Function Models.
Video 51: Simplifying Rational Exponents and Radicals.
Video 52: Writing Quadratic Functions Given Vertex and a Point, Two Zeros, 3 Points, Tables, Word Problems.
Video 53: Solving Quadratic Equations by Factoring.
Video 54: Solving Quadratic Equations by Taking Square Root and Completing Squares.
Video 55: Solving Quadratic Equations Using Quadratic Formula and Graphing Calculator.
Video 56: 5 Different Ways to Solve a Quadratic Equation - Part 1.
Video 57: 5 Different Ways to Solve a Quadratic Equation - Part 2.
Video 58: Solving Systems of Quadratic Equations.
Video 59: Solving Quadratic Inequalities.
Video 60: Graphing & Writing Quadratic Inequalities & Systems of Quadratic Inequalities.
Video 61: Add, Subtract, Multiply, and Divide Complex Numbers.
Video 62: Quadratic Equations with Imaginary Solutions.
Video 63: De Moivre's Theorem - Complex Numbers in Polar.
Unit 6: Square Root & Cubic & Cube Root Functions & Equations & Inequalities
Video 64: Simplifying Rational Exponents and Radicals.
Video 65: Simplifying Radical Expressions.
Video 66: Square Root & Quadratic Functions: Key Features, Transformations, and Inverses.
Video 67: Solving Square Root Equations.
Video 68: Solving Square Root Inequalities.
Video 69: Cube Root & Cubic Functions: Key Features, Transformations, and Inverses.
Video 70: Solving Cube Root Equations.
Unit 7: Polynomial & Rational Functions
Video 71: New Method of Factoring Trinomials WITHOUT Guessing and Checking.
Video 72: Factoring Special Cases of Polynomials.
Video 73: Long Division & Synthetic Division with 8 Specific Examples - The easy way!
Video 74: Dividing Polynomials using 3 methods: Factoring - Long Division - Synthetic Division.
Video 75: Factor Theorem & Remainder Theorem.
Video 76: Rational Root Theorem & Fundamental Theorem of Algebra.
Video 77: Inverse Variation (Indirect Variation/Reciprocal Variation/Inverse Proportionality/Reciprocal Relationship).
Video 78: Simplifying Rational Expressions.
Video 79: Add, Subtract, Multiply, and Divide Rational Expressions.
Video 80: Solving Rational Equations.
Video 81: Partial Fraction Decomposition.
Video 82 (Challenge): Using Partial Fraction Decomposition to Solve the finite Rational Equation.
Other topic videos can be found in Unit 1 of AP Precalculus tutorial videos.
Unit 8: Exponential & Logarithmic Functions
Topic videos can be found in Unit 2 of AP Precalculus tutorial videos.
Unit 9: Trigonometric & Polar Functions
Video 83: Law of Sines
Video 84: Law of Cosines
Other topic videos can be found in Unit 3 of AP Precalculus tutorial videos.
Video 85: Writing the Equations of a Circle in Standard Form.
Video 86: Convert Circle Equations from Standard Form to General Form.
Video 87: Convert Circle Equations from General Form to Standard Form.
Video 88: Characteristics of an Ellipse
Video 89: Writing the Equation of an Ellipse in Standard Form
Video 90: Convert Ellipse Equations from Standard Form to General Form.
Video 91: Convert Ellipse Equations from General Form to Standard Form.
Video 92: Characteristics of a Parabola.
Video 93: Writing the Equation of a Parabola in Standard Form.
Video 94: Convert Parabola Equations from Standard Form to General Form.
Video 95: Convert Parabola Equations from General Form to Standard Form.
Video 96: Characteristics of a Hyperbola.
Video 97: Writing the Equation of a Hyperbola in Standard Form.
Video 98: Convert Hyperbola Equations from Standard Form to General Form.
Video 99: Convert Hyperbola Equations from General Form to Standard Form.
Video 100: Classifying Conic Sections - Circle, Ellipse, Parabola, Hyperbola from General Forms.
Video 101: Solving Systems of Equations Involving Conics.
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!