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## Algebra Interactive Notebook

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There are a total of 10 units that include:

Unit 1 - Prerequisite for Algebra and Algebraic Expressions

Unit 2 - Solving and Graphing Linear Equations and Inequalities

Unit 3 - Features of a Function

Unit 4 - Sequences (Arithmetic and Geometric)

Unit 5 - Graphing Lines and Determining Slope

Unit 6 - Expressions Containing Exponents

Unit 7 - Solving and Graphing Systems of Equations and Inequalities

Unit 8 - Identifying, Classifying, and Operations on Polynomials

Unit 9 - Features of Quadratics

Unit 10 - Defining and Simplifying Radicals

There are two pages for each concept. The first page is used for direct instruction (notes) and the second page is for students to practice the concept. The first page includes a "I can..." statement and the second page includes an area where students can rate themselves on how well they understand the concept. This allows students to look back in their interactive notebook before a test and know which concept they need to study. There are some pages that have foldables.

The complete break down for each unit is given below:

--

• Rational/Irrational Numbers

• Real Number Properties (Commutative, Associative, Distributive, Additive Identity, Multiplicative, Zero Property, and Additive Inverse)

• Solve One-Step Equations Involving One Variable

• Solve and Graph One-Step Inequalities Involving One Variable

• Use Order of Operations to Simplify Expressions

• Analyze and Evaluate Expressions

• Define and Apply the Absolute Value

• Simplify Expressions by Combining Like Terms

• Simplify Expressions by using the Distributive Property

--

• Solve Two-Step Equations involving One Variable

• Solve Multi-Step Equations involving One Variable

• Solve Equations with Variables on Both Sides involving One Variable

• Solve Equations involving Multi-Variables

• Solve and Graph Two-Step Inequalities

• Solve and Graph Multi-Step Inequalities

• Solve and Graph Compound Inequalities

• Solve Absolute Value Equations

• Solve and Graph Absolute Value Inequalities

• Properties of Equality (Addition, Subtraction, Multiplication, Division, Reflexive, Symmetric, Transitive, and Substitution)

• Use Proportions to Solve for an Unknown

--

• Intro to Functions

• Evaluating a Function & Function Notation

• Domain, Range, Minimum, and Maximum

• Piecewise Functions

--

• Intro to Sequences

• Arithmetic Sequences (Recursive and Explicit)

• Geometric Sequences (Recursive and Explicit)

--

• Plotting Points on the Coordinate System

• Determine Slope Given a Graph

• Determine Slope Given a Table or Two Points

• Define, Write, and Graph Slope-Intercept Form

• Determine a Linear Equations Given a Table

• Standard Form to Slope Intercept Form

• Determine Linear Equations Given a Graph

• Determine Linear Equations Given Two Points

• Determine and Graph the X and Y intercepts Given an Equation

• Graph Horizontal and Vertical Lines

• Write Equations of a Line Given a Slope and a Point, or Two Points

• Write Parallel and Perpendicular Lines Given an Equation

--

• Intro to Exponents

• Properties of Exponents

• Intro to Scientific Notation

• Converting Between Standard Form and Scientific Notation

• Adding and Subtracting Scientific Notation

• Multiplying and Dividing Scientific Notation

--

• The Three Types of Solutions: No Solution, Infinitely Many Solutions, and One Solution

• Solving Systems of Equations by Graphing, Substitution, and Elimination

• Write and Solve Word Problems involving Systems of Equations

• Solve and Graph Systems of Linear Inequalities involving One Variable

--

• Intro to Polynomials

• Operations on Polynomials (Adding, Subtracting, Multiplying, and Dividing)

• Multiplication of Binomials

--

• Intro to Quadratics: What is a quadratic?

• Solving Quadratics by Taking Square Roots

• The Quadratic Formula to Solve for Roots

• Using the Completing the Square to Solve for Roots

--

• What is a radical?

• Basic Properties of Simplifying Radicals

Unit 1 - Prerequisite for Algebra and Algebraic Expressions

Unit 2 - Solving and Graphing Linear Equations and Inequalities

Unit 3 - Features of a Function

Unit 4 - Sequences (Arithmetic and Geometric)

Unit 5 - Graphing Lines and Determining Slope

Unit 6 - Expressions Containing Exponents

Unit 7 - Solving and Graphing Systems of Equations and Inequalities

Unit 8 - Identifying, Classifying, and Operations on Polynomials

Unit 9 - Features of Quadratics

Unit 10 - Defining and Simplifying Radicals

There are two pages for each concept. The first page is used for direct instruction (notes) and the second page is for students to practice the concept. The first page includes a "I can..." statement and the second page includes an area where students can rate themselves on how well they understand the concept. This allows students to look back in their interactive notebook before a test and know which concept they need to study. There are some pages that have foldables.

The complete break down for each unit is given below:

--

__Unit 1: Prerequisite for Algebra and Algebraic Expressions__• Rational/Irrational Numbers

• Real Number Properties (Commutative, Associative, Distributive, Additive Identity, Multiplicative, Zero Property, and Additive Inverse)

• Solve One-Step Equations Involving One Variable

• Solve and Graph One-Step Inequalities Involving One Variable

• Use Order of Operations to Simplify Expressions

• Analyze and Evaluate Expressions

• Define and Apply the Absolute Value

• Simplify Expressions by Combining Like Terms

• Simplify Expressions by using the Distributive Property

--

__Unit 2: Solving and Graphing Linear Equations and Inequalities__• Solve Two-Step Equations involving One Variable

• Solve Multi-Step Equations involving One Variable

• Solve Equations with Variables on Both Sides involving One Variable

• Solve Equations involving Multi-Variables

• Solve and Graph Two-Step Inequalities

• Solve and Graph Multi-Step Inequalities

• Solve and Graph Compound Inequalities

• Solve Absolute Value Equations

• Solve and Graph Absolute Value Inequalities

• Properties of Equality (Addition, Subtraction, Multiplication, Division, Reflexive, Symmetric, Transitive, and Substitution)

• Use Proportions to Solve for an Unknown

--

__Unit 3: Features of a Function__• Intro to Functions

• Evaluating a Function & Function Notation

• Domain, Range, Minimum, and Maximum

• Piecewise Functions

--

__Unit 4: Sequences (Arithmetic and Geometric)__• Intro to Sequences

• Arithmetic Sequences (Recursive and Explicit)

• Geometric Sequences (Recursive and Explicit)

--

__Unit 5: Graphing Lines and Determining Slope__• Plotting Points on the Coordinate System

• Determine Slope Given a Graph

• Determine Slope Given a Table or Two Points

• Define, Write, and Graph Slope-Intercept Form

• Determine a Linear Equations Given a Table

• Standard Form to Slope Intercept Form

• Determine Linear Equations Given a Graph

• Determine Linear Equations Given Two Points

• Determine and Graph the X and Y intercepts Given an Equation

• Graph Horizontal and Vertical Lines

• Write Equations of a Line Given a Slope and a Point, or Two Points

• Write Parallel and Perpendicular Lines Given an Equation

--

__Unit 6: Expressions Containing Exponents__• Intro to Exponents

• Properties of Exponents

• Intro to Scientific Notation

• Converting Between Standard Form and Scientific Notation

• Adding and Subtracting Scientific Notation

• Multiplying and Dividing Scientific Notation

--

__Unit 7: Solving and Graphing Systems of Equations and Inequalities__• The Three Types of Solutions: No Solution, Infinitely Many Solutions, and One Solution

• Solving Systems of Equations by Graphing, Substitution, and Elimination

• Write and Solve Word Problems involving Systems of Equations

• Solve and Graph Systems of Linear Inequalities involving One Variable

--

__Unit 8: Identifying, Classifying, and Operations on Polynomials__• Intro to Polynomials

• Operations on Polynomials (Adding, Subtracting, Multiplying, and Dividing)

• Multiplication of Binomials

--

__Unit 9: Features of Quadratics__• Intro to Quadratics: What is a quadratic?

• Solving Quadratics by Taking Square Roots

• The Quadratic Formula to Solve for Roots

• Using the Completing the Square to Solve for Roots

--

__Unit 10: Defining and Simplifying Radicals__• What is a radical?

• Basic Properties of Simplifying Radicals