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Algebra I High School Course Outline

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

• Introduction
• Course Description
• Completing Math Assessments
• MLA Formatting Word 2007
• MLA Documentation Updates
• MLA Citation
• MLA Incorporating Sources
• Pretest
• Assignment: Pretest

2- Expressions, Equations & Functions

• Evaluating Expressions
• Writing Expressions
• 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
• Problem Solving
• Represent Functions as Rules & Tables
• 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

• The Real Number System
• Graphing & Comparing Numbers
• Absolute Value
• Adding Real Numbers
• 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
• Multiplying Real Numbers
• Dividing Real Numbers
• 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

• Solving One-Step Equations
• Solving Two-Step Equations
• Solving Multi-Step Equations
• 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
• Ratios and Proportions
• Percent Problems
• 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

• Coordinate Plane
• 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
• Slope
• Graphing Linear Equations Using Slope-Intercept Form
• 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

• Slope-Intercept Form
• 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
• Standard Form
• Parallel and Perpendicular Lines
• 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

• Solving One-Step Inequalities
• Solving Multi-Step Inequalities
• 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
• Solving Absolute Value Equations
• Solving Absolute Value Inequalities
• 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
• Midtest
• Assignment: Midtest

8- Systems of Linear Equations

• What is a System of Linear Equations?
• 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
• Solving Systems of Equations with Technology
• Solutions to a System
• 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

• Properties of Exponents Exploration
• Handout: Properties of Exponents Exploration
• Assignment: Properties of Exponents Exploration
• 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
• Graphs of Exponential Functions
• 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

• Introduction to Polynomials
• Polynomial Multiplication
• Handout: Polynomial Addition & Multiplication Worksheet
• Assignment: Polynomial Addition & Multiplication
• Factors of Polynomials
• Handout: Polynomial Multiplication & Factors Worksheet
• Handout: Polynomial Quiz
• Assignment: Polynomial Multiplication & Factors
• Assignment: Polynomial Quiz
• Factoring Polynomials
• Handout: Factoring Worksheet
• Assignment: Factoring
• Handout: Quadratic Equations Worksheet
• Handout: Quadratic Functions Exploration
• Assignment: Quadratic Equations
• Assignment: Exploring Quadratic Functions
• Handout: Polynomials Unit Test
• Assignment: Polynomials Unit Test

• Properties of Radical Expressions
• Handout: Properties of Radicals Exploration
• Assignment: Properties of Radicals Exploration
• Graphing Radical Functions Exploration
• Handout: Graphing Radical Functions Exploration
• Assignment: Graphing Radical Functions Exploration
• Radical Expressions and Functions
• Handout: Radical Functions Assignment #1
• Handout: Radical Functions Quiz
• Assignment: Radical Functions Assignment #1
• Assignment: Radica Functions Quiz
• Solving Radical Equations
• 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

• Graphing Rational Functions Exploration
• Handout: Graphing Rational Functions Exploration
• Assignment: Graphing Rational Functions Exploration
• Dividing Polynomials
• Simplifying Rational Expressions
• Multiply and Divide Rational Expressions
• Handout: Rational Functions Assignment #1
• Handout: Rational Functions Quiz
• Assignment: Rational Functions Assignment #1
• Assignment: Rational Functions Quiz
• Add and Subtract Rational Expressions
• 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

• Post-Test
• Assignment: Post-Test
• 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
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