• ### E.1. Use Properties of Exponents

3. #### E.1.1. Evaluating Numeric Expressions Using Exponent Properties

1. E.1.1.O. Overview
2. E.1.1.1. Evaluating Numeric Expressions Using the Product of Powers Property
3. E.1.1.2. Evaluating Numeric Expressions Using the Power of a Power Property
4. E.1.1.3. Evaluating Numeric Expressions Using the Power of a Product Property
5. E.1.1.4. Evaluating Numeric Expressions Using the Negative Exponent Property
6. E.1.1.5. Evaluating Numeric Expressions Using the Zero Exponent Property
7. E.1.1.6. Evaluating Numeric Expressions Using the Quotient of Powers Property
8. E.1.1.7. Evaluating Numeric Expressions Using the Power of a Quotient Property
4. #### E.1.2. Applying Scientific Notation

1. E.1.2.O. Overview
2. E.1.2.1. Applying Exponent Properties to Scientific Notation Expressions
3. E.1.2.2. Using Scientific Notation and Exponent Properties to Solve a Word Problem
5. #### E.1.3. Simplifying Expressions Using Exponent Properties

1. E.1.3.O. Overview
2. E.1.3.1. Simplifying Algebraic Expressions Using Exponent Properties Involving Multiplication
3. E.1.3.2. Simplifying Algebraic Expressions Using Exponent Properties Involving Division
6. #### E.1.4. Solving Problems Using Exponent Properties

1. E.1.4.O. Overview
2. E.1.4.1. Solving Geometric Area Problems Using Exponent Properties
3. E.1.4.2. Solving Word Problems Using Exponent Properties
• Add a specific skill individually
• ### E.2. Evaluate and Graph Polynomial Functions

3. #### E.2.1. Polynomial Function Basics

1. E.2.1.O. Overview
2. E.2.1.1. Identifying Parts of a Polynomial Function (Degree, Type, Leading Coefficient)
3. E.2.1.2. Determining if a Function is a Polynomial Function
4. E.2.1.3. Evaluating the Value of a Polynomial Function Using Direct Substitution
5. E.2.1.4. Evaluating the Value of a Polynomial Function Using Synthetic Substitution
4. #### E.2.2. Graphing Polynomial Functions

1. E.2.2.O. Overview
2. E.2.2.1. Determining the End Behavior of a Polynomial Function
• Add a specific skill individually
• ### E.3. Add, Subtract, and Multiply Polynomials

3. #### E.3.1. Adding Polynomials

1. E.3.1.O. Overview
2. E.3.1.1. Adding Two Polynomials Horizontally
3. E.3.1.2. Adding Two Polynomials Vertically
4. #### E.3.2. Subtracting Polynomials

1. E.3.2.O. Overview
2. E.3.2.1. Subtracting Two Polynomials Horizontally
3. E.3.2.2. Subtracting Two Polynomials Vertically
5. #### E.3.3. Multiplying Polynomials

1. E.3.3.O. Overview
2. E.3.3.1. Multiplying Two Polynomials Horizontally
3. E.3.3.2. Multiplying Two Polynomials Vertically
4. E.3.3.3. Multiplying Three Binomials
6. #### E.3.4. Special Product Patterns

1. E.3.4.O. Overview
2. E.3.4.1. Using the Sum and Difference Rules for Multiplying Binomials
3. E.3.4.2. Using the Square of a Binomial Rules for Multiplying Binomials
4. E.3.4.3. Using the Cube of a Binomial Rules for Multiplying Binomials
7. #### E.3.5. Solving Problems Involving Operations with Polynomials

1. E.3.5.O. Overview
2. E.3.5.1. Solving Geometric Volume Problems Using Polynomial Multiplication
3. E.3.5.2. Solving Word Problems Involving Polynomial Operations
• Add a specific skill individually
• ### E.4. Factor and Solve Polynomial Functions

3. #### E.4.1. Factoring Polynomial Functions

1. E.4.1.O. Overview
2. E.4.1.1. Factoring Polynomials by Removing Common Factors First
3. E.4.1.2. Factoring Polynomials by the Sum of Two Cubes
4. E.4.1.3. Factoring Polynomials by the Difference of Two Cubes
5. E.4.1.4. Factoring Polynomials by Grouping
6. E.4.1.5. Factoring Polynomials in Quadratic Form
4. #### E.4.2. Solving Polynomial Functions

1. E.4.2.O. Overview
2. E.4.2.1. Solving Polynomial Functions for Real Number Solutions Given an Equation
3. E.4.2.2. Solving Polynomial Functions for Real Number Solutions Given a Word Problem
• Add a specific skill individually
• ### E.5. Apply the Remainder and Factor Theorems

3. #### E.5.1. Dividing Polynomials

1. E.5.1.O. Overview
2. E.5.1.1. Dividing Polynomials Using Long Division
3. E.5.1.2. Dividing Polynomials Using Synthetic Division
4. #### E.5.2. Applying the Factor Theorem

1. E.5.2.O. Overview
2. E.5.2.1. Finding Other Factors of Polynomial Functions Given One Factor
3. E.5.2.2. Finding Other Zeroes of Polynomial Functions Given One Zero
5. #### E.5.3. Solving Problems Involving Polynomial Division and Factor Theorem

1. E.5.3.O. Overview
2. E.5.3.1. Solving Geometric Volume Problems Using Factor Theorem
3. E.5.3.2. Solving Word Problems Using Polynomial Long Division
• Add a specific skill individually
• ### E.6. Find Rational Zeros

3. #### E.6.1. Applying the Rational Zero Theorem

1. E.6.1.O. Overview
2. E.6.1.1. Listing Possible Rational Zeros Given a Polynomial Function
3. E.6.1.2. Determining the Correct Rational Zero for a Polynomial Function
4. E.6.1.3. Finding Real Zeros for a Polynomial Function Without a Graph (Leading Coefficient is 1)
4. #### E.6.2. Solving Problems Involving the Rational Zero Theorem

1. E.6.2.O. Overview
2. E.6.2.1. Solving Geometric Problems Using the Rational Zero Theorem
3. E.6.2.2. Solving Word Problems Using the Rational Zero Theorem
• Add a specific skill individually
• ### E.7. Apply the Fundamental Theorem of Algebra

3. #### E.7.1. Fundamental Theorem of Algebra

1. E.7.1.O. Overview
2. E.7.1.1. Identifying the Number of Zeros Given a Polynomial Equation
3. E.7.1.2. Finding All Zeroes (Real or Complex) Given a Polynomial Equation
4. #### E.7.2. Complex Conjugates Theorem

1. E.7.2.O. Overview
5. #### E.7.3. Irrational Conjugates Theorem

1. E.7.3.O. Overview
6. #### E.7.4. Descartes’ Rule of Signs

1. E.7.4.O. Overview
2. E.7.4.1. Classifying the Type and Number of Zeros Given a Polynomial Function
7. #### E.7.5. Solving Problems Using the Fundamental Theorem of Algebra

1. E.7.5.O. Overview
2. E.7.5.1. Solving Word Problems by Finding Zeros Given a Polynomial Function
• Add a specific skill individually
• ### E.8. Analyze Graphs of Polynomial Functions

3. #### E.8.1. Analyzing Components of Polynomial Functions

1. E.8.1.O. Overview
2. E.8.1.1. Graphing a Polynomial Function by Finding X-Intercepts
3. E.8.1.2. Identifying Local Maxima and Local Minima Given a Polynomial Function
4. #### E.8.2. Solving Problems Using Components of Polynomial Functions

1. E.8.2.O. Overview
2. E.8.2.1. Using Local Maxima and Local Minima to Solve Word Problems
• Add a specific skill individually
• ### E.9. Write Polynomial Functions and Models

3. #### E.9.1. Writing Polynomial Functions Given Information

1. E.9.1.O. Overview
2. E.9.1.1. Writing Cubic Functions Given Three X-Intercepts and One Point on the Graph
4. #### E.9.2. Finite Differences

1. E.9.2.O. Overview
2. E.9.2.1. Finding First-Order and Second-Order Finite Differences Given a Polynomial Function
5. #### E.9.3. Solving Problems by Using Finite Differences

1. E.9.3.1. Writing Polynomial Functions Using Finite Differences Given a Word Problem
• Add a specific skill individually
Expand a Unit to view specific Skills
Add all of the Skills in a Unit