The Complete Guide to Algebra 2

Course Curriculum

Chapter 1: Course Introduction

Lecture 1: Introduction: Who is this course for?

Lecture 2: The Roadmap: Course Goals and How to Achieve Them

Chapter 2: Unit 1: Solving equations

Lecture 1: Unit 1 Intro (including unit tests A, B, C, and solutions)

Lecture 2: Order of operations: PEMDAS

Lecture 3: Categories of numbers

Lecture 4: The Distributive Property and Combining Like Terms

Lecture 5: Solve linear equations: single and multi-step

Lecture 6: Saving your chemistry grade at the 11th hour: Word problem

Lecture 7: Solve linear equations (harder)

Lecture 8: Solve and graph linear inequalities

Lecture 9: Solve literal equations

Lecture 10: Solve absolute value equations

Lecture 11: The coldest place on Earth: Word problem

Lecture 12: Solve absolute value inequalities

Lecture 13: Unit 1: Challenge Question Solution

Lecture 14: Unit 1 Test C: #1-10

Chapter 3: Unit 2: Functions

Lecture 1: Unit 2 Intro (including unit tests A, B, C, and solutions)

Lecture 2: What is a function?

Lecture 3: How to evaluate functions

Lecture 4: Standard form of a linear function

Lecture 5: Graph a line in standard form

Lecture 6: How to find the slope of a line

Lecture 7: Climbing to the Mountain Summit: Word problem

Lecture 8: Writing equations in slope-intercept form (y=mx+b)

Lecture 9: A jump in the swimming pool: Word problem

Lecture 10: How to graph lines in slope-intercept form

Lecture 11: Point-slope form of a line

Lecture 12: How to change lines into slope-intercept form

Lecture 13: Your best cell phone plan: Word problem

Lecture 14: Parallel and perpendicular lines

Lecture 15: Graph piecewise functions

Lecture 16: Graph absolute value functions

Lecture 17: Transformations

Lecture 18: Describing transformations

Lecture 19: Graph linear inequalities

Lecture 20: Unit 2 Challenge Solution

Lecture 21: Unit 2 Test C: #1-12

Lecture 22: Unit 2 Test C: #13-16

Chapter 4: Unit 3: Solving systems of equations and matrices

Lecture 1: Unit 3 Intro (including unit tests A, B, C, and solutions)

Lecture 2: Solve systems of equations by graphing

Lecture 3: Solve systems of equations by substitution

Lecture 4: Solve systems of equations by elimination (2 variables)

Lecture 5: Solve systems of equations by elimination (3 variables)

Lecture 6: Solve systems of equations by elimination (3 variables, special case)

Lecture 7: Talent Show Ticket Sales: Word problem

Lecture 8: Challenge: Windy plane trip

Lecture 9: Graph systems of linear inequalities

Lecture 10: Baking cakes: Linear programming

Lecture 11: What is a matrix? (And how do you add, subtract, and multiply them?)

Lecture 12: How to multiply matrices

Lecture 13: How to find the determinant of a matrix

Lecture 14: Cramer's rule for solving matrices

Lecture 15: How to find the inverse of a matrix

Lecture 16: Solve systems of equations using inverse matrices

Lecture 17: Unit 3 Challenge Solution

Lecture 18: Unit 3 Test C: #1-5

Lecture 19: Unit 3 Test C: #6-12

Chapter 5: Unit 4: Quadratic Equations

Lecture 1: Unit 4 Intro (including unit tests A, B, C, and solutions)

Lecture 2: How to graph a quadratic function part 1

Lecture 3: How to graph a quadratic function part 2

Lecture 4: How to graph a quadratic inequality

Lecture 5: Giancarlo Stanton's home run: Word problem

Lecture 6: FOIL: First, outside, inside, last

Lecture 7: Factoring quadratics: leading coefficient = 1

Lecture 8: Factoring quadratics: leading coefficient not equal to 1 (Swing method)

Lecture 9: Factoring quadratics: Greatest common factor (GCF)

Lecture 10: Factoring perfect square trinomials

Lecture 11: Factoring the difference of squares

Lecture 12: Factoring the greatest common factor (GCF)

Lecture 13: Solve quadratic equations by factoring

Lecture 14: Race through Alaska: Word problem

Lecture 15: What is an imaginary number?

Lecture 16: Raising i to different powers

Lecture 17: Simplify imaginary numbers

Lecture 18: Complex numbers: How to add, subtract, and multiply

Lecture 19: Complex numbers: How to divide

Lecture 20: What is a perfect square?

Lecture 21: Solve quadratic equations by completing the square (easier)

Lecture 22: Solve quadratic equations by completing the square (harder)

Lecture 23: A proof of the quadratic formula

Lecture 24: Solve quadratic equations using the quadratic formula

Lecture 25: What is the discriminant?

Lecture 26: Vertex form of a quadratic function

Lecture 27: Transforming a quadratic graph

Lecture 28: Unit 4 Challenge Solution

Lecture 29: Unit 4 Test C: #1-7

Lecture 30: Unit 4 Test C: #8-14

Lecture 31: Unit 4 Test C: #15-20

Chapter 6: Unit 5: Solving polynomial equations

Lecture 1: Unit 5 Intro (including unit tests A, B, C, and solutions)

Lecture 2: Laws of exponents: The Basics

Lecture 3: Laws of exponents: Harder examples

Lecture 4: What is a polynomial?

Lecture 5: Polynomials: How to add, subtract, multiply, and divide

Lecture 6: Polynomials: How to divide by a monomial