## 1.0 Credit

This course is designed for the student who can independently use and apply the basic skills of arithmetic. The course introduces the student to the basic structure of Algebra through the use and application of real numbers, inequalities, factoring, polynomials, linear and quadratic equations, and graphs. Appropriate technology will be used to enhance mathematical understanding and problem solving skills. Students who successfully complete this course with a grade of “C” or higher should be prepared to take Geometry.

This course covers the following Algebra concepts:

- Interpret the structure of expressions
- Write expressions in equivalent forms to solve problems

**Seeing Structure in Expressions**

- Perform arithmetic operations on polynomials
- Understand the relationship between zeros and factors of polynomials
- Use polynomial identities to solve problems
- Rewrite rational functions

**Arithmetic with Polynomials and Rational Functions**

- Create equations that describe numbers or relationships

**Creating Equations**

- Understand solving equations as a process of reasoning and explain the reasoning
- Solve equations and inequalities in one variable
- Solve systems of equations
- Represent and solve equations and inequalities graphically

**Reasoning with Equations and Inequalities**

- Make sense of problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics.
- Use appropriate tools strategically.
- Attend to precision,
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning.

**Mathematical Practices**

## ALGEBRA I

**1- Introduction **

1- Introduction

2- Course Description

3- Completing Math Assessments

5- MLA Formatting Word 2007

6- MLA Documentation Updates

7- MLA Citation

8- MLA Incorporating Sources

9- Pretest

Assignment: Pretest

**2- Expressions, Equations & Functions **

1- Evaluating Expressions

2- Writing Expressions

3- Writing Equations & Inequalities

Handout: Evaluating and Writing Expressions Worksheet

Handout: Expressions, Equations and Functions Quiz

Assignment: Evaluating and Writing Expressions

Assignment: Expressions, Equations & Functions Quiz

4- Problem Solving

5- Represent Functions as Rules & Tables

6- Represent Functions as Graphs

Handout: Functions Worksheet

Assignment: Functions

Handout: Expressions, Equations and Functions Unit Test

Assignment: Expressions, Equations and Functions Unit Test

**3- Properties of Real Numbers **

1- The Real Number System

2- Graphing & Comparing Numbers

3- Absolute Value

4- Adding Real Numbers

5- Subtracting Real Numbers

Handout: Properties of Real Numbers Assignment #1

Handout: Properties of Real Numbers Quiz

Assignment: Properties of Real Numbers Assignment 1

Assignment: Properties of Real Numbers Quiz

6- Multiplying Real Numbers

7- Dividing Real Numbers

8- Radicals

Handout: Properties of Real Numbers Assignment #2

Handout: Properties of Real Numbers Unit Test

Assignment: Properties of Real Numbers Assignment #2

Assignment: Properites of Real Numbers Unit Test

**4- Solving Linear Equations **

1- Solving One-Step Equations

2- Solving Two-Step Equations

3- Solving Multi-Step Equations

4- Solve Equations with Variables on Both Sides

Handout: Solving Linear Equations Assignment #1

Handout: Solving Linear Equations Quiz

Assignment: Solving Linear Equations Assignment #1

Assignment: Solving Linear Equations Quiz

5- Ratios and Proportions

6- Percent Problems

7- Rewrite Equations & Formulas

Handout: Solving Linear Equations Assignment #2

Handout: Solving Linear Equations Unit Test

Assignment: Solving Linear Equations Assignment #2

Assignment: Solving Linear Equations Unit Test

**5- Graphing Linear Equations **

1- Coordinate Plane

2- Graphing Linear Equations

Handout: Graphing Linear Equations Assignment #1

Handout: Graphing Linear Equations Quiz

Handout: Distance – Time Graph Exploration

Assignment: Graphing Linear Equations Assignent #1

Assignment: Graphing Linear Equations Quiz

Assignment: Distance – Time Graph Exploration

3- Slope

4- Graphing Linear Equations Using Slope-Intercept Form

5- Function Notation

Handout: Graphing Linear Equations Assignment #2

Handout: Graphing Linear Equations Unit Test

Assignment: Graphing Linear Equations Assignment #2

Assignment: Graphing Linear Equations Unit Test

**6- Writing Linear Equations **

1- Slope-Intercept Form

2- Point-Slope Form

Handout: Writing Linear Equations Assignment #1

Handout: Writing :linear Equations Quiz

Assignment: Writing Linear Equations Assignment #1

Assignment: Writing Linear Equations Quiz

3- Standard Form

4- Parallel and Perpendicular Lines

5- Linear Models

Handout: Writing Linear Equations Assignment #2

Handout: Writing Linear Equations Unit Test

Assignment: Writing Linear Equations Assignment #2

Assignment: Writing Linear Equations Unit Test

**7- Solving Linear Inequalities**

1- Solving One-Step Inequalities

2- Solving Multi-Step Inequalities

3- Solving Compound Inequalities

Handout: Solving Linear Inequalities Assignment #1

Handout: Solving Linear Equation Quiz

Assignment: Solving Linear Inequalities Assignment #1

Assignment: Solving Linear Inequalities Quiz

4- Solving Absolute Value Equations

5- Solving Absolute Value Inequalities

6- Graphing Linear Inequalities in Two Variables

Handout: Solving Linear Inequalities Assignment #2

Handout: Solving Linear Inequalities Unit Test

Assignment: Solving Linear Inequalities Assignment #2

Assignment: Solving Linear Inequalities Unit Test

7- Midtest

Assignment: Midtest

**8- Systems of Linear Equations**

1- What is a System of Linear Equations?

2- Solving Systems of Equations

Handout: System of Linear Equations Assignment #1

Handout: System of Linear Equations Quiz

Assignment: Systems of Linear Equations Assignment #1

Assignment: System of Linear Equations Quiz

3- Solving Systems of Equations with Technology

4- Solutions to a System

5- Linear Systems Word Problems

Handout: System of Linear Equations Assignment #2

Handout: System of Linear Equations Unit Test

Assignment: System of Linear Equations Assignment #2

Assignment: System of Linear Equations Unit Test

**9- Exponential Functions**

1- Properties of Exponents Exploration

Handout: Properties of Exponents Exploration

Assignment: Properties of Exponents Exploration

2- Properties of Exponents

Handout: Exponenital Function Assignment #1

Handout: Exponential Functions Quiz

Handout: Exponential Functions Exploration

Assignment: Exponential Functions Assignment #1

Assignment: Exponential Function Quiz

Assignment: Exponential Function Exploration

3- Graphs of Exponential Functions

4- Applications of Exponential Growth and Decay

Handout: Exponenital Functions Assignment #2

Handout: Exponential Functions Unit Test

Assignment: Exponential Functions Assignment #2

Assignment: Exponential Functions Unit Test

**10- Polynomials **

1- Introduction to Polynomials

2- Polynomial Addition

3- Polynomial Multiplication

Handout: Polynomial Addition & Multiplication Worksheet

Assignment: Polynomial Addition & Multiplication

4- Factors of Polynomials

Handout: Polynomial Multiplication & Factors Worksheet

Handout: Polynomial Quiz

Assignment: Polynomial Multiplication & Factors

Assignment: Polynomial Quiz

5- Factoring Polynomials

Handout: Factoring Worksheet

Assignment: Factoring

6- Quadratic Equations

Handout: Quadratic Equations Worksheet

Handout: Quadratic Functions Exploration

Assignment: Quadratic Equations

Assignment: Exploring Quadratic Functions

Handout: Polynomials Unit Test

Assignment: Polynomials Unit Test

**11- Radical Functions **

1- Properties of Radical Expressions

Handout: Properties of Radicals Exploration

Assignment: Properties of Radicals Exploration

2- Graphing Radical Functions Exploration

Handout: Graphing Radical Functions Exploration

Assignment: Graphing Radical Functions Exploration

3- Radical Expressions and Functions

4- Adding and Subtracting Radicals

Handout: Radical Functions Assignment #1

Handout: Radical Functions Quiz

Assignment: Radical Functions Assignment #1

Assignment: Radica Functions Quiz

5- Solving Radical Equations

6- Pythagorean Theorem and Distance Formula

Handout: Radical Functions Assignment #2

Handout: Radical Functions Unit Test

Assignment: Radical Functions Assignment #2

Assignment: Radical Functions Unit Test

**12- Rational Functions**

1- Graphing Rational Functions Exploration

Handout: Graphing Rational Functions Exploration

Assignment: Graphing Rational Functions Exploration

2- Dividing Polynomials

3- Simplifying Rational Expressions

4- Multiply and Divide Rational Expressions

Handout: Rational Functions Assignment #1

Handout: Rational Functions Quiz

Assignment: Rational Functions Assignment #1

Assignment: Rational Functions Quiz

5- Add and Subtract Rational Expressions

6- Solve Rational Equations

Handout: Rational Functions Assignment #2

Handout: Rational Functions Unit Test

Assignment: Rational Functions Assignment #2

Assignment: Rational Functions Unit Test

**13- Final Exam **

1- Post-Test

Assignment: Post-Test

2- Final Exam

Handout: Review for Final Exam

Handout: Final Exam

Handout: Final Essay

Assignment: Review for Final Exam

Assignment: Final Exam

Assignment: Final Essay

**14- Course Survey **

Handout: Course Survey

Assignment: Course Survey

Call 800.890.6269 / 561.537.5501