Language of Algebra

What is Algebra?

Algebra Tiles

Let’s Talk about Numbers

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Integers

Adding Integers

Subtracting Positive and Negative numbers

Multiplying and Dividing Positive and Negative Numbers

Playing with variables

Recognizing Like and Unlike Terms

Combining Like Terms

Using the Distributive Property to Expand Algebraic Expressions

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Solving One Step Equations

Solving One-Step Equations with Adding and Subtracting

One-Step Equations with Multiplying & Dividing

One-Step Equations: Multiplication Problems with Fractions

Multi-Step Equations

Solving Two-step Equations: ax+b=c

Variables on Both Sides of the Equation: ax+b=cx+d

Solving Equations Involving the Distributive Property

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Inequalities and
Absolute value

What is an Inequality?

Introduction to Graphing Inequalities

Compound Inequalities

Graphing Linear Equations

Graphing Points on a Coordinate Plane

Graphing Linear Equations by Creating a Table of Coordinates

Standard Form of the Equation of a Line

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Algebraic Fractions

Simplifying Fractions before Multiplying

Equivalent Forms of Algebraic Fractions

Simplifying Algebraic Fractions

Multiplying Polynomials

Introduction to Multiplying Binomials

Multiplying Perfect Squares

Multiplying Polynomials

Factoring

Factoring Quadratic Expressions: $x^2 + bx + c$

Factoring Quadratic Trinomials: $ax^2 + bx + c$

Polynomial Division

Graphing Quadratic Equations

Graphing Parabolas in the Form $y = ax^2$

Shifting the Parent Graph of a Parabola Horizontally

Shifting the Parent graph of a Parabola Vertically

Solving Quadratic Equations

Solving Equations of the Form $ax^2 = b$

Completing the Square

Deriving the Quadratic Formula

Graphing Inequalities
and Absolute Value

Graphing Inequalities on a Coordinate Plane

Systems of Equations

Checking a System of Equations

Algebraic Proofs

Magic 6 Card Trick

Multiplying on Your Fingers 6X6 to 10X10