Unit 0: Algebra 2 Prerequisites
Summer Packet
Unit 1: Expressions, Equations & Inequalities
Video 1: Topic 1.1: Understanding Interval Notation | Set Builder Notation | Open, Closed, and Infinite Intervals.
Video 2: Topic 1.2: Converting Units with Conversion Factors.
Video 3: Topic 1.3: Solving Multi-Step Equations Containing Fractions.
Video 4: Topic 1.4: Solving Advanced Literal Equations.
Video 5: Topic 1.5: Adding, Subtracting, Multiplying & Dividing Functions
Video 6: Topic 1.6: Composition of Functions.
Video 7: Topic 1.7: Inverse Functions.
Video 8: Topic 1.8: Work, Rate & Distance-Time Word Problems
Video 9: Topic 1.9: Determine If a Relation is A Function - How to Know If A Function is 1-1?
Video 10: Topic 1.10: Find The Domain & Range of Continuous Functions and Discontinuous Functions.
Video 11: Topic 1.11: Domain of Radical & Rational Functions.
Video 12: Topic 1.12: Graphing & Writing Piecewise Functions | Domain & Range | Piecewise Function Related Problems.
Video 13: Topic 1.13A: Exploring Transformation of Functions
Video 14: Topic 1.13B: Transformations of Functions (Translation, Reflection, Dilation) with/without a Graph.
Unit 2: Linear & Absolute Value Functions & Inequalities
Video 15: Topic 2.1A: Rate of Change/Slope - Slope-Intercept Form - Point-Slope Form - Standard Form of Linear Functions.
Video 16: Topic 2.1B: Determine the Slopes/Rate of Change of Linear Functions.
Video 17: Topic 2.1C: Modeling Linear Functions and Applications | Best-fitting Linear Regression Model.
Video 18: Topic 2.2: Average Rate of Change - Rates of Change in Linear and Quadratic Functions - Concavity - Increasing/Decreasing Functions.
Video 19: Topic 2.3: Direct vs. Inverse Variation.
Video 20: Topic 2.4: Solving Absolute Value Equations.
Video 21: Topic 2.5: Solving Absolute Value Inequalities.
Video 22: Topic 2.6: Solving Absolute Value Inequalities Word Problems.
Video 23: Topic 2.7: Absolute Value Functions: Characteristics, Graphing, Writing, and Transformation.
Video 24: Topic 2.8: Graphing & Writing Linear & Absolute Value Inequality Functions.
Video 25: Topic 2.9: Solving a System of 2 Linear Equations by Graphing.
Video 26: Topic 2.10: Solving a System of 2 Linear Equations by Substitution.
Video 27: Topic 2.11: Solving a System of 2 Linear Equations by Elimination.
Video 28: Topic 2.12: Solving a System of 3 Equations by Substitution, Elimination.
Video 29: Topic 2.13: Graphing Linear Systems of Inequalities.
Video 30: Topic 2.14: Solving Linear Systems of Inequalities Word Problems.
Unit 3: Matrices & Complex Numbers
Video 31: Topic 3.1: Adding, Subtracting, and Multiplying Matrices.
Video 32: Topic 3.2: Finding the Determinant of 2x2 Matrices.
Video 33: Topic 3.3: Finding the Determinant of 3x3 Matrices.
Video 34: Topic 3.4: Finding the Inverse of 2x2 Matrices.
Video 35: Topic 3.5: Solving the Matrix Equations.
Video 36: Topic 3.6: Using Inverse Matrices to Solve the Linear System of Equations.
Video 37: Topic 3.7: Solving a System of Equations by Cramer's Rule.
Video 38: Topic 3.8: Add, Subtract, Multiply, and Divide Complex Numbers.
Video 39: Topic 3.9: Factoring Trinomials.
Video 40: Topic 3.10: Solving Quadratic Equations by Factoring.
Video 41: Topic 3.11: Solving Quadratic Equations by Taking Square Root and Completing Squares.
Video 42: Topic 3.12: Solving Quadratic Equations Using Quadratic Formula.
Video 43: Topic 3.13: Quadratic Equations with Imaginary Solutions.
Unit 4: Quadratic & Polynomial Functions
Video 44: Topic 4.1: Characteristics of Quadratic Functions in Standard Form y = ax^2 + bx + c (a#0).
Video 45: Topic 4.2: Characteristics of Quadratic Functions in Vertex Form y = a(x-h)^2 + k (a#0).
Video 46: Topic 4.3: Characteristics of Quadratic Functions in Intercept Form y = a(x-p)(x-q) (a#0).
Video 47: Topic 4.4: Convert Quadratic Functions from Standard Form <=> Vertex Form <=> Intercept Form <=> Standard Form.
Video 48: Topic 4.5: Writing Quadratic Functions Given Vertex and a Point, Two Zeros, 3 Points, Tables, Word Problems.
Video 49: Topic 4.6: Maximization/Minimization (Optimization) Problems Using Quadratic Function Models.
Video 50: Topic 4.7: Solving Quadratic Inequalities.
Video 51: Topic 4.8: Graphing System of Multiple Inequalities (Linear Inequalities, Absolute Value Inequalities, Quadratic Inequalities, Radical Inequalities).
Video 52: Topic 4.9: Solving Systems of Linear & Quadratic Equations.
Video 53: Topic 4.10: Adding, Subtracting, and Multiplying Polynomials and Its Applications in Geometry.
Video 54: Topic 4.11: Factoring Special Cases of Polynomials.
Video 55: Topic 4.12: Factoring Difference & Sum of Cubes.
Video 56: Topic 4.13 Solving Quadratic Equations Using Substitution
Video 57: Topic 4.14 Solving a Polynomial Equation by Grouping & Factoring
Video 58: Topic 4.15: Graph Polynomial Functions and Complex Zeros | Complex Roots, Multiplicity, Polynomial Inequalities, Fundamental Theorem of Algebra, Conjugate Pairs | Write the Polynomial Function given a Graph.
Video 59: Topic 4.16: Long Division & Synthetic Division with 8 Specific Examples - The easy way!
Unit 5: Rational Exponents & Radical Functions
Video 60: Topic 5.1: Exponent Rules.
Video 61: Topic 5.2: Simplifying Rational Exponents and Radicals.
Video 62: Topic 5.3: Simplifying Radical Expressions.
Video 63: Topic 5.4 Solving an Equation Involving Rational Exponents
Video 64: Topic 5.5: Square Root & Quadratic Functions: Key Features, Transformations, and Inverses.
Video 65: Topic 5.6: Solving Square Root Equations.
Video 66: Topic 5.7: Cube Root & Cubic Functions: Key Features, Transformations, and Inverses.
Video 67: Topic 5.8: Solving Cube Root Equations.
Unit 6: Exponential & Logarithmic Functions
Video 68: Topic 6.1: Find the Domain, Range, Y-intercept, Asymptote of an Exponential Function.
Video 69: Topic 6.2: Find the Domain, Range, Y-intercept, Asymptote of an Exponential Function Word Problems.
Video 70: Topic 6.3: Exponential Functions | Characteristics, End Behavior & Concavity
Video 71: Topic 6.4: Exponential Growth & Decay Functions.
Video 72: Topic 6.5: Mastering Compound Interest: Step-by-Step Proofs & Real-Life Examples.
Video 73: Topic 6.6: Exponential Function Transformation | Why is the Horizontal Translation the same as Vertical Dilation?
Video 74: Topic 6.7: Graph Logarithmic Functions |Characteristics, End Behavior, Concavity, and Transformations
Video 75: Topic 6.8: Properties of Logarithms | Proof and Walkthrough Examples.
Video 76: Topic 6.9: Logarithmic Expressions.
Video 77: Topic 6.10: Exponential and Logarithmic Equations.
Video 78 Topic 6.11: Exponential Function Context and Data Modeling with a TI-Nspire & TI-84 Plus CE Calculator.
Video 79: Topic 6.12: Logarithmic Function Context and Data Modeling with TI-Nspire & TI-84 Plus CE Calculator.
Unit 7: Rational Functions
Video 80: Topic 7.1 Domain of Radical & Rational Functions. (Review Topic 1.11)
Video 81: Topic 7.2: Add, Subtract, Multiply, and Divide Rational Expressions.
Video 82: Topic 7.3: Solving Rational Equations & Complex Fractions Equations.
Video 83: Topic 7.4: Rational Functions and End Behavior - Horizontal Asymptotes and Slant Asymptotes.
Video 84: Topic 7.5: Rational Functions and Zeros | Solving Rational Inequalities.
Video 85: Topic 7.6(A): Vertical Asymptotes and Holes - Horizontal Asymptotes and Slant Asymptotes - Graphing Rational Functions
Video 86: Topic 7.6(B): If Vertical Asymptotes, Holes, and Zeros (x-intercepts) occur simultaneously, which one beats?
Video 87: Topic 7.7: How to Write a Rational Function Given a Graph.
Video 88: Topic 7.8: Direct, Inverse, Joint and Combined Variation. (Review Topic 2.3 + Extra)