Algebra 1 Topic Outline & Support Videos

Topical Outline 

Functions(Chapter 3 Big Ideas Textbook)

I.   What is a functions

a. Identifying a function

b. Domain and Range of a Function

II. Function Notation

a. Using Function Notation to solve

b. Evaluating Functions

II. Piecewise Functions

a. Step Functions

b. Piecewise Functions

c. Graphing Piecewise Functions

    IV.     Operations of Functions

  a.   Adding and Subtracting Functions

b. Multiplying Functions

c. Composing Functions

Linear Functions (Chapter 4 Big Ideas Textbook)

I. Linear Models

a. Scatter Plots

b. Line of Best Fit

c. Residual

II. Writing Linear Functions

a. Slope Review

b. Slope Intercept Form

Solving Linear Functions (Chapter 1 Big Ideas Textbook)

I. Solving Multi-step Equations

a. Multi-Step Equations

b. Clearing the Fractions

c. Clearing the Decimals

d. Literal Equations

                e.     Solving Word Problems

 Linear Functions and Systems of Linear Functions (Chapter 4/5 Big Ideas Textbook)

I. Standard Form

a. Writing in Standard Form

b. Graphing in Standard Form

II. Point Slope Form

a. Writing in Point Slope Form

b. Graphing Point Slope Form

III. Systems of Equation

a. Solving by Graphing

b. Solving by Substitution

c. Solving by Elimination/Combination

d.     Solving Systems of Inequalities

Exponential Functions (Chapter 6 Big Ideas Textbook)

I. Review of Exponent Properties

II. Comparing Linear to Exponential Functions

III. Writing Exponential Functions

a. Growth Rates and Growth Factors

b. Decay Rates and Decay Factors

Quadratic Functions (Chapter 8/9 Big Ideas Textbook)

I. What is a Quadratic Function

a. Graphing a Quadratic

b. Characteristics of Quadratics

II. Factoring Quadratics

a. Factoring when a = 1

b. Factoring with the area model

c.     Factoring with Grouping

III. Solving Quadratics

a. Solving with the Square Root

b. Solving by Factoring

Properties of Radicals (Chapter 9.1 Big Ideas Textbook)

 I. Properties of Radicals

a. Simplifying Radicals

b.     Simplifying Radicals with Variables

b. Rewriting as an exponent