## Algebra Videos and Resources

### Unit 1

__Topic 1__

- Rational Number Operations Review
- Unit 1 Topic 1: One Step Equations
- Unit 1 Topic 1: Multi-Step Equations
- Unit 1 Topic 1: Equations With Variables on Both Sides
- Unit 1 Topic 1: Literal Equations
- Unit 1 Topic 1: Arithmetic Sequences and Writing Equations
- Unit 1 Topic 1: Writing Equations to Extend Patterns

__Topic 2__

__Topic 3__

- Unit 1 Topic 3: Multiplying Monomials
- Unit 1 Topic 3: Dividing Monomials
- Solving Exponential Equations Part 1 of 2 (video)
- Solving Exponential Equations
- Exponential Equations
- Exponential Equations (different bases)

### Unit 2

__Topic 1__

- Unit 2 Topic 1: Functions vs Relations (website)
- Unit 2 Topic 1: Graphing Functions
- Unit 2 Topic 1: Dependent vs Independent Variables
- Unit 2 Topic 1: Graphing Function Tables
- Unit 2 Topic 1: Discrete and Continuous Graphs (website)
- Unit 2 Topic 1: Are Functions Discrete or Continuous?
- Unit 2 Topic 1: Discrete or Continuous?
- Unit 2 Topic 1: What is a Function: Basics and Key Terms
- Unit 2 Topic 1: Function Notation
- Unit 2 Topic 1: Determine the Domain and range of the Graph of a Function
- Unit 2 Topic 1: Functions in the Real World
- Unit 2 Topic 1: Comparing Functions
- Unit 2 Topic 1: Domain and Range of Functions
- Unit 2 Topic 1: Interpreting Graphs
- Unit 2 Topic 1: Converting an Explicit Function to a Recursive Function
- Unit 2 Topic 1: X and Y Intercepts (website)
- Unit 2 Topic 1: Finding X and Y Intercepts from a Graph
- Unit 2 Topic 1: Relations
- Unit 2 Topic 1: Functions & Function Notation Values
- Unit 2 Topic 1: Exponential Functions
- Unit 2 Topic 1: Properties of Graphs

__Topic 2:__

- Unit 2 Topic 2: Arithmetic Sequences and Writing Equations
- Unit 2 Topic 2: Linear Equations & Intercepts
- Unit 2 Topic 2: Writing Equations with Rate of Change
- Unit 2 Topic 2: Day 1 Slope
- Unit 2 Topic 2: Slope Intercept Form of an Equation
- Unit 2 Topic 2: Equation of the Line Given Slope & Points
- Unit 2 Topic 2: Making Predictions with Equations
- Unit 2 Topic 2: Growth and Decay formulas
- Point Slope and Standard Form
- Recursive Formulas for Sequences
- Explicit and Recursive Definitions of Sequence
- Identifying Exponential Functions from Data
- Recognizing Linear Functions
- Exponential Equations
- Writing Recursive Formulas

__Topic 3:__

- Unit 2 Topic 3: Solving Systems with Tables
- Unit 2 Topic 3: Graphing systems of Equations
- Unit 2 Topic 3: Solving Systems with Substitution
- Unit 2 Topic 3: Systems & Real World Problems
- Unit 2 Topic 3: Elimination Method
- Unit 2 Topic 3: Elimination with Multiplication
- Unit 2 Topic 3: Choosing Best Methods
- Unit 2 Topic 3: Graphing Systems of Inequalities

### Unit 3

__Topic 1:__

- Frequency & Relative Frequency Distributions
- Marginal Frequencies
- Finding a Joint Frequency Distribution Given a Data Set
- Understanding Residual Plots
- Interpreting Residual Plots
- How to Find the Line of Best Fit
- Unit 3 Topic 1: Scatter Plots
- Unit 3 Topic 1: Choosing the Best Measure
- Unit 3 Topic 1: Histograms
- Unit 3 Topic 1: Box and Whisker Plots
- Finding Measures of Central Tendency on a Graphing Calculator

### Unit 4:

__Topic 1__

- Writing Quadratic Equations from Data Tables
- Finding the Rule of a Quadratic Pattern
- Writing Quadratic Recursive Equations
- Interactive Practice: Area and Perimeter: Combining Linear and Quadratic
- Notes: Parabolas
- Comparing Linear, Quadratic, and Exponential Functions
- More Comparing Linear, Quadratic, and Exponential Functions
- How to Determine if a Graph is Linear, Quadratic, or Exponential
- Compare Growth Models
- Writing an Explicit Formula From a Recursive Formula
- Recursive Rule for Quadratics
- Writing Quadratic Explicit Equations

__Topic 2__

- Properties of Parabolas
- Transformations of Parabolas
- Key Features of Quadratic Graphs
- Complete the Square with Algebra Tiles
- Introduction to Algebra Tiles
- How Solve Algebra Equations with Tiles (Factoring)
- Factoring Polynomials with Algebra Tiles (1)
- Graphing Parabolas in Factored Form y=a(x-r)(x-s)
- Graphing Quadratic Functions in Factored Form Video
- Factoring Trinomials using the Area Model (a = 1)
- Factoring Trinomials using the Area Model (a ≠ 1)
- Graphing Quadratic Equations in Vertex Form
- Changing a Quadratic from Standard Form to Vertex Form
- Writing a Quadratic Function in Vertex Form
- Graphing Quadratic Functions Using Vertex Form
- Multiply Binomials
- How to Factor any Quadratic Equation
- Vertex Form of Quadratic Functions
- Add Subtract Polynomials
- Products of Polynomials
- More Products of Polynomials
- Factoring Polynomials with the Distributive Property
- Factoring Trinomials as Binomials
- Factoring Trinomials ax^2 + bx + c.mp4.ns
- Factoring Perfect Square Trinomials and Binomials

__Topic 3__

- Squaring Binomials
- Quadratic Functions
- Solving Quadratics With Graphing
- Solving Quadratics with Square Roots
- Quadratic Formula
- Solving Quadratic Inequalities - The Basics
- Pythagorean Theorem Proof (Geometry)
- Pythagoras in 2 minutes 2
- Find the Missing Length of a Right Triangle

### Unit 5

- Notes: Piecewise Functions
- Notes: Floor Ceiling Functions
- Notes: Absolute Value Functions
- Graph Piecewise Functions
- Writing Piecewise Function Definition from a Graph
- What is a Piecewise Function?
- Piecewise Functions and Function Transformations
- Find the domain and range of a piecewise function
- Graphing Piecewise-Defined Functions
- How do you graph a piecewise function?
- Absolute Value as Piecewise Functions
- Piecewise Functions of Absolute Value Functions

### HSA Supplement Unit: Probability

- Matrices
- Line Plots & Stem-Leaf Plots
- Misleading Graphs
- Simple Probability
- Counting Outcomes
- Compound Probability
- Sampling (Biased and Unbiased)