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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
 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 OneStep Equations
 Solving TwoStep Equations
 Solving MultiStep 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 SlopeIntercept 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
 SlopeIntercept Form
 PointSlope 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
 Coordinating 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
 PostTest
 Assignment: PostTest
 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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