Algebra

If you haven't clicked on "Notebooks" on the tab above then I would encourage you to click there first! The notebook section goes over how I implement my interactive notebooks in my class.  It has some great insight on how you can use the notebooks in your classroom!

You can watch a video on my Algebra notebook by CLICKING HERE.

My Algebra Interactive Notebook

There are a total of 10 units:

1.) Prerequisite for Algebra and Algebraic Expressions

2.) Solving and Graphing Linear Equations and Inequalities

3.) Features of a Function

4.) Sequences (Arithmetic and Geometric)

5.) Graphing Lines and Determining Slope

6.) Expressions Containing Exponents

7.) Solving and Graphing Systems of Equations & Inequalities

8.) Identifying, Classifying, and Operations on Polynomials

9.) Features of a Quadratic

10.) Defining and Simplifying Radicals

The Notebook Layout

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 an "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:

--Unit 1: Prerequisite for Algebra and Algebraic Expressions

The first unit is an introduction to Algebra.  Students will be reviewing concepts that they learned in Pre-Algebra.  These include:

• 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

The second unit is getting into how to solve more complex equations such as two-step equations and multi-step equations.

• 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

The third unit is looking at the 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)

The fourth unit is an introduction into two different types of sequences: arithmetic and geometric.

• Intro to Sequences

• Arithmetic Sequences (Recursive and Explicit)

• Geometric Sequences (Recursive and Explicit)

--Unit 5: Graphing Lines and Determining Slope

The fifth unit is writing and graphing linear equations.

• 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

• Converting from Standard 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

The sixth unit is applying properties of exponents to simplify expressions.

• 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 seventh unit is writing 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 Linear Inequalities involving One Variable

--Unit 8: Identifying, Classifying, and Operations on Polynomials

The eighth unit is simplifying expressions involving polynominals (operations on polynomials)

• Intro to Polynomials

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

• Multiplication of Binomials

--Unit 9: Features of a Quadratic

The ninth unit is looking at the features of a quadratic.

• 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

• Using the Zero Product Property to Solve for Roots

--Unit 10: Defining and Simplifying Radicals

The tenth unit is an introduction on how to simplify radicals.

• What is a radical?

• Basic Properties of Simplifying Radicals

Some Pictures of Notebook

There are two ways that you can purchase my Algebra interactive notebook:

Option 1 - If you have a Teachers Pay Teachers account, you can purchase my notebook by CLICKING HERE.

Option 2 - You can buy my notebook from my secure website by CLICKING HERE.

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