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


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.

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

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


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


Prepositions

Worksheet: Prepositions

Shows Relationships

Common Prepositions

Order of Adverbs

Co-ordinating Conjunctions

Worksheet: Conjunctions

Subordinating Conjunctions

Correlative Conjunctions

Interjection

Examples

More Examples

Quiz: Prepositions Quiz

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 Addition

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

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


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

Adding and Subtracting Radicals

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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