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:

    Seeing Structure in Expressions

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

 

    Arithmetic with Polynomials and Rational Functions

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

 

    Creating Equations

  • Create equations that describe numbers or relationships

 

    Reasoning with Equations and Inequalities

  • 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

 

    Mathematical Practices

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

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