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Unit 1

Why It Matters: Exponents

Why It Matters: Geometry

Introduction to Applying Exponent Rules

Introduction to Using Properties of Angles, Triangles, and the Pythagorean Theorem

Evaluating Exponential Expressions

Using Properties of Angles to Solve Problems

Simplifying Variable Expressions Using Exponent Properties I

Using the Properties of Triangles to Solve Problems

Simplifying Variable Expressions Using Exponent Properties II

Using the Pythagorean Theorem to Solve Problems

Simplifying Expressions with Negative Exponents and Exponents of 0 and 1

Summary: Using the Properties of Angles, Triangles, and the Pythagorean Theorem

Simplifying Complex Expressions I

Introduction to Using Properties of Rectangles, Triangles, and Trapezoids

Simplifying Complex Expressions II

Using Linear, Square, and Cubic Measure Appropriately

Summary: Simplifying Expressions With Exponents

Using the Properties of Rectangles to Solve Problems

Finding All the Factors of a Number

Using the Properties of Triangles to Solve Problems

Summary: Finding Multiples and Factors

Using the Properties of Trapezoids to Solve Problems

Introduction to Prime Factorization and the Least Common Multiple

Summary: Using Properties of Rectangles, Triangles, and Trapezoids

Finding the Prime Factorization of a Composite Number

Using the Properties of Circles to Solve Problems

Finding the Least Common Multiple of Two Numbers

Introduction to Solving Problems Using Volume and Surface Area

Summary: Prime Factorization and the Least Common Multiple

Finding the Volume and Surface Area of Rectangular Solids

Putting It Together: The Language of Algebra

Finding the Volume and Surface Area of a Sphere

Why It Matters: Factoring

Finding the Volume and Surface Area of a Cylinder

Introduction to Solving Simple Polynomial Equations

Finding the Volume of a Cone

The Zero Product Principle

Summary: Solving Problems Using Volume and Surface Area

Finding the Greatest Common Factor

Introduction to Systems of Measurement

Finding the Greatest Common Factor of a Polynomial

Making Unit Conversions in the U.S. System of Measurement

Solving a Polynomial in Factored Form

Making Unit Conversions in the Metric System of Measurement

Summary: Solving Simple Polynomial Equations

Converting Between U.S. and Metric Systems of Measurement

Introduction to Factoring Methods

Summary: Systems of Measurement

Factoring a Four Term Polynomial by Grouping

Putting It Together: Geometry

Factoring by Grouping

Introduction to Scientific Notation

Factoring a Trinomial with a Leading Coefficient of 1

Converting Between Scientific Notation and Decimal Notation

Summary: Factoring Methods

Multiplying and Dividing Numbers in Scientific Notation

Introduction to Factoring Special Cases

Problem Solving With Scientific Notation

Special Cases - Squares

Summary: Scientific Notation

Special Cases - Cubes

Putting It Together: Exponents

More Factoring Methods

Unit 2

Summary: Factoring Special Cases

Introduction to Problem Solving Strategies for Word Problems

Putting It Together: Factoring

Translating and Solving Word Problems and Applications

Unit 4

Apply a Problem-Solving Strategy to Word Problems

Why It Matters: Rational Expressions and Equations

Using a Problem-Solving Strategy to Solve Number Problems

Introduction to Operations With Rational Expressions I

Summary: Problem Solving Strategies for Word Problems

Simplifying Rational Expressions

Introduction to Solving Word Problems Containing Decimals

Multiplying and Dividing Rational Expressions

Solving Problems Involving Tickets and Stamps

Introduction to Operations With Rational Expressions II

Introduction to Using Formulas to Solve Word Problems

Adding and Subtracting Rational Expressions Part I

Problems Involving Formulas I

Adding and Subtractracting Rational Expressions Part II

Problems Involving Formulas II

Complex Rational Expressions

Summary: Using Formulas to Solve Word Problems

Introduction to Rational Equations and Their Applications

Putting It Together: Linear Equations

Solving Rational Equations

Why It Matters: Graphs

Proportions

Introduction to The Coordinate Plane

Applications with Rational Equations

Plotting Points on the Coordinate Plane

Why It Matters: Roots and Rational Exponents

Identifying Points on a Rectangular Coordinate System

Introduction to Simplifying Roots

Finding Solutions to Equations in Two Variables

Square Roots

Graphing Linear Equations Using Ordered Pairs

Simplifying Square Roots with Variables

Summary: The Coordinate Plane

Cube Roots and Nth Roots

Introduction to Finding Slope

Introduction to Simplifying Expressions with Radicals and Rational Exponents

Finding the Slope of a Line from its Graph

Radical Expressions and Rational Exponents

Using the Slope Formula to Find the Slope between Two Points

Simplifying Radical Expressions

Summary: Finding Slope

Introduction to Algebraic Operations with Radical Expressions

Introduction to Using Intercepts to Graph Lines

Multiplying and Dividing Radical Expressions

Identifying the Intercepts on the Graph of a Line

Adding and Subtracting Radicals

Graphing Lines Using X- and Y- Intercepts

Multiple Term Radicals

Summary: Using Intercepts to Graph Lines

Rationalizing Denominators

Introduction to Writing Equations of Lines

Why It Matters: Quadratic Equations and Complex Numbers

Graphing a Line Using Slope and a Point

Introduction to Quadratic Equations

Introduction to Applications of Graphs

Quadratic Equations

Interpreting Slope in Equations and Graphs

Square Roots and Completing the Square

Interpreting the y-Intercept and Making Predictions

The Quadratic Formula

Why It Matters: Linear Functions and Function Notation

Applications of Quadratic Equations

Introduction to Functions

Why It Matters: Quadratic, Polynomial, and Piecewise Functions

Defining a Function

Introduction to Piecewise Functions

Function Notation

Writing Piecewise Functions

Evaluating Functions

Graphing Piecewise Functions

Introduction to Linear Functions

Introduction to Quadratic and Radical Functions

Graphing Linear Functions

Graphing Quadratic Functions

Characteristics of Linear Functions

Graphing Radical Functions

Introduction to Domain and Range

Introduction to Polynomial Functions

Domain Restrictions

Identifying Polynomial Functions

Finding Domain and Range From a Graph

Graphs of Polynomial Functions

Putting It Together: Linear Functions and Function Notation

Algebra of Polynomial Functions

Why It Matters: Linear Systems

Introduction to Applications of Quadratic Functions

Introduction to Solutions to Systems of Equations

Projectiles

Ordered Pairs as Solutions to Systems

Putting It Together: Quadratic, Polynomial, and Piecewise Functions

Classify Solutions for Systems

Unit 5

Graphing Systems

Introduction to Complex Numbers

Summary: Solutions to Systems of Equations

Pythagorean Theorem

Introduction to Algebraic Methods for Solving Systems

Imaginary and Complex Numbers

The Substitution Method

Adding and Subtracting Complex Numbers

The Elimination Method Without Multiplication

Multiplying and Dividing Complex Numbers

The Elimination Method With Multiplication

Introduction to Quadratic Equations with Complex Solutions

Introduction to Systems of Equations in Three Variables

Quadratic Equations With Complex Solutions

Systems of Three Equations in Three Variables

Resources: Problem Sets

Inconsistent and Dependent Systems in Three Variables

Problem Set: Whole Numbers

Applications of Linear Equations in Three Variables

Problem Set: The Language of Algebra

Introduction to Problem Solving With Systems

Problem Set: Integers

Cost and Revenue Problems

Problem Set: Fractions

Unit 3

Problem Set: Decimals

Why It Matters: Linear Inequalities

Problem Set: Ratios, Rates, Probabilities, and Averages

Introduction to Solving Single- and Multi-Step Inequalities

Problem Set: Percents

Representing Inequalities on a Number Line and with Interval Notation

Problem Set: Geometry

Solving Inequalities

Problem Set: Real Numbers

Summary: Solving Single- and Multi-Step Inequalities

Problem Set: Multi-Step Linear Equations

Introduction to Solving Compound Inequalities

Problem Set: Polynomials

Describing Sets as Intersections or Unions

Problem Set: Graphs

Solving Compound Inequalities