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Algebra 1 Plus

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Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8

Welcome to the Polytech High School Algebra 1 Plus website.  For more information on the topics taught in each unit follow the links below.  For  resources to help better understand the topics taught in each unit and basic algebra concepts follow the links to the left. 

Unit 1     Connections to Algebra 

Unit 2     Properties of Real Numbers 

Unit 3     Solving Linear Equations

Unit 4     Graphing Linear Equations and Functions

Unit 5        Writing Linear Equations

Unit 6     Solving and Graphing Linear Inequalities

Unit 7     Systems of Linear Equations and Inequalities

Unit 8     Exponents and Exponential Functions

Unit 1     Connections to Algebra 

Variables in Algebra

Exponents and Powers

Order of Operations

Equations and Inequalities

 Translating Words into Mathematical Symbols

 A Problem Solving Plan Using Models

 Tables and Graphs

 An Introduction to Functions

Unit 2      Properties of Real Numbers

The Real Number Line

Absolute Value

Adding Real Numbers

Subtracting Real Numbers

Multiplying Real Numbers

The Distributive Property

Combining Like Terms

Dividing real Numbers

 Unit 3     Solving Linear Equations

            Solving Equations Using Addition and Subtraction

            Solving Equations Using Multiplication and Division

            Solving Multi-Step Equations

            Solving Equations with Variables on Both Sides of the Equal Symbol

            More on Linear Equations

            Solving Decimal Equations

            Formulas

            Ratios and Rates

            Percents

Unit 4     Graphing Linear Equations and Functions

         The Coordinate Plane

            Graphing Linear Equations

            Graphing Horizontal and Vertical Lines

            Graphing Lines Using Intercepts

            The Slope of a Line

            Direct Variation

            Graphing Lines Using Slope-Intercept Form

            Functions and Relations

Unit 5     Writing Linear Equations             

           Slope-Intercept Form

           Writing Linear Equations Given Two Points

           Standard Form

           Modeling with Linear Equations 

          Perpendicular Lines

Unit 6     Solving and Graphing Linear Inequalities

            Solving Inequalities Using Addition or Subtraction        

            Solving Inequalities Using Multiplication or Division

            Solving Multi-Step Inequalities

            Solving Absolute Value Equations

            Solving Absolute Value Inequalities

            Graphing Linear Inequalities in Two Variables

Unit 7     Systems of Linear Equations and Inequalities

            Graphing Linear Systems

            Solving Linear Systems by Substitution

            Solving Linear Systems Using the Elimination Method

            Linear Systems and Problem Solving  

            Special Types of Linear Systems

Unit 8     Exponents and Exponential Functions

            Multiplication Properties of Exponents

            Zero and Negative Exponents

            Graphs of Exponential Functions

            Division properties of Exponents

            Scientific Notation

            Exponential Growth Functions

            Exponential Decay Functions