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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 1: Number Puzzles

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Video Tutorial: Anatomy of an Equation: Quadratic Equations 7 Video Tutorial: Anatomy of an Equation: Quadratic Equations 7 Video Tutorial: Anatomy of an Equation: Quadratic Equations 7

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Quadratic Equations and Functions
Video Tutorial: Anatomy of an Equation: Quadratic Equations 8 Video Tutorial: Anatomy of an Equation: Quadratic Equations 8 Video Tutorial: Anatomy of an Equation: Quadratic Equations 8

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Quadratic Equations and Functions
Video Tutorial: Anatomy of an Equation: Two-Step Equations 1 Video Tutorial: Anatomy of an Equation: Two-Step Equations 1 Video Tutorial: Anatomy of an Equation: Two-Step Equations 1

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Solving Two-Step Equations
Video Tutorial: Anatomy of an Equation: Two-Step Equations 10 Video Tutorial: Anatomy of an Equation: Two-Step Equations 10 Video Tutorial: Anatomy of an Equation: Two-Step Equations 10

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Solving Two-Step Equations
Video Tutorial: Anatomy of an Equation: Two-Step Equations 11 Video Tutorial: Anatomy of an Equation: Two-Step Equations 11 Video Tutorial: Anatomy of an Equation: Two-Step Equations 11

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Solving Two-Step Equations
Video Tutorial: Anatomy of an Equation: Two-Step Equations 12 Video Tutorial: Anatomy of an Equation: Two-Step Equations 12 Video Tutorial: Anatomy of an Equation: Two-Step Equations 12

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Solving Two-Step Equations
Video Tutorial: Anatomy of an Equation: Two-Step Equations 13 Video Tutorial: Anatomy of an Equation: Two-Step Equations 13 Video Tutorial: Anatomy of an Equation: Two-Step Equations 13

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Solving Two-Step Equations
Video Tutorial: Anatomy of an Equation: Two-Step Equations 2 Video Tutorial: Anatomy of an Equation: Two-Step Equations 2 Video Tutorial: Anatomy of an Equation: Two-Step Equations 2

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Solving Two-Step Equations
Video Tutorial: Anatomy of an Equation: Two-Step Equations 3 Video Tutorial: Anatomy of an Equation: Two-Step Equations 3 Video Tutorial: Anatomy of an Equation: Two-Step Equations 3

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Solving Two-Step Equations
Video Tutorial: Anatomy of an Equation: Two-Step Equations 4 Video Tutorial: Anatomy of an Equation: Two-Step Equations 4 Video Tutorial: Anatomy of an Equation: Two-Step Equations 4

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Solving Two-Step Equations
Video Tutorial: Anatomy of an Equation: Two-Step Equations 5 Video Tutorial: Anatomy of an Equation: Two-Step Equations 5 Video Tutorial: Anatomy of an Equation: Two-Step Equations 5

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Solving Two-Step Equations
Video Tutorial: Anatomy of an Equation: Two-Step Equations 6 Video Tutorial: Anatomy of an Equation: Two-Step Equations 6 Video Tutorial: Anatomy of an Equation: Two-Step Equations 6

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Solving Two-Step Equations
Video Tutorial: Anatomy of an Equation: Two-Step Equations 7 Video Tutorial: Anatomy of an Equation: Two-Step Equations 7 Video Tutorial: Anatomy of an Equation: Two-Step Equations 7

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Solving Two-Step Equations
Video Tutorial: Anatomy of an Equation: Two-Step Equations 8 Video Tutorial: Anatomy of an Equation: Two-Step Equations 8 Video Tutorial: Anatomy of an Equation: Two-Step Equations 8

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Solving Two-Step Equations
Video Tutorial: Anatomy of an Equation: Two-Step Equations 9 Video Tutorial: Anatomy of an Equation: Two-Step Equations 9 Video Tutorial: Anatomy of an Equation: Two-Step Equations 9

This is part of a collection of videos that look at the structure of different equations in order to learn how to solve them.

Solving Two-Step Equations
VideoTutorial--OneStepEquationAddition.jpg Video Tutorial: One-Step Equations: Addition Video Tutorial: One-Step Equations: Addition

This is part of a collection of video tutorials on the topic of One-Step Equations.

Solving One-Step Equations
VideoTutorial--OneStepEquationDivision.jpg Video Tutorial: One-Step Equations: Division Video Tutorial: One-Step Equations: Division

This is part of a collection of video tutorials on the topic of One-Step Equations.

Solving One-Step Equations
VideoTutorial--OneStepEquationMultiplication.jpg Video Tutorial: One-Step Equations: Multiplication Video Tutorial: One-Step Equations: Multiplication

This is part of a collection of video tutorials on the topic of One-Step Equations.

Solving One-Step Equations
VideoTutorial--OneStepEquationSubtraction.jpg Video Tutorial: One-Step Equations: Subtraction Video Tutorial: One-Step Equations: Subtraction

This is part of a collection of video tutorials on the topic of One-Step Equations.

Solving One-Step Equations
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 1 Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 1

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Quadratic Equations and Functions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 2 Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 2

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Quadratic Equations and Functions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 3 Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 3

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Quadratic Equations and Functions
Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 4 Video Tutorial: Solving Quadratic Equations by Completing the Square: Example 4

This is part of a collection of video tutorials on solving quadratic equations by completing the square. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Quadratic Equations and Functions
VideoTutorial--DistributivePropertyVideoThumbnail01.jpg Video Tutorial: The Distributive Property, Video 1 Video Tutorial: The Distributive Property: a(x + b), all constants positive

This is part of a collection of video tutorials on the topic of the Distributive Property.

—PRESS PREVIEW TO SEE THE VIDEO— To see the complete collection of the video tutorials on this topic, click on this link.

The next section provides background information on math properties. Refer to this section as you review the math properties definitions.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail10.jpg Video Tutorial: The Distributive Property, Video 10 Video Tutorial: The Distributive Property: a(-x - b), all constants positive

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail11.jpg Video Tutorial: The Distributive Property, Video 11 Video Tutorial: The Distributive Property: a(-x - b), a negative, b positive

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail12.jpg Video Tutorial: The Distributive Property, Video 12 Video Tutorial: The Distributive Property: a(-x - b), a negative, b negative

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail13.jpg Video Tutorial: The Distributive Property, Video 13 Video Tutorial: The Distributive Property: a(bx + c), all constants positive

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail14.jpg Video Tutorial: The Distributive Property, Video 14 Video Tutorial: The Distributive Property: a(bx + c), a negative, b and c positive

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail15.jpg Video Tutorial: The Distributive Property, Video 15 Video Tutorial: The Distributive Property: a(bx + c), all constants negative

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail16.jpg Video Tutorial: The Distributive Property, Video 16 Video Tutorial: The Distributive Property: a(bx - c), all constants positive

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail17.jpg Video Tutorial: The Distributive Property, Video 17 Video Tutorial: The Distributive Property: a(bx - c), a negative, b and c positive

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail18.jpg Video Tutorial: The Distributive Property, Video 18 Video Tutorial: The Distributive Property: a(bx - c), all constants negative

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail02.jpg Video Tutorial: The Distributive Property, Video 2 Video Tutorial: The Distributive Property: a(x + b), a negative, b positive

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail03.jpg Video Tutorial: The Distributive Property, Video 3 Video Tutorial: The Distributive Property: a(x + b), a negative, b negative

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail04.jpg Video Tutorial: The Distributive Property, Video 4 Video Tutorial: The Distributive Property: a(-x + b), all constants positive

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail05.jpg Video Tutorial: The Distributive Property, Video 5 Video Tutorial: The Distributive Property: a(-x + b), a negative, b positive

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail06.jpg Video Tutorial: The Distributive Property, Video 6 Video Tutorial: The Distributive Property: a(-x + b), a negative, b negative

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail07.jpg Video Tutorial: The Distributive Property, Video 7 Video Tutorial: The Distributive Property: a(x - b), all constants positive

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail08.jpg Video Tutorial: The Distributive Property, Video 8 Video Tutorial: The Distributive Property: a(x - b), a negative, b positive

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
VideoTutorial--DistributivePropertyVideoThumbnail09.jpg Video Tutorial: The Distributive Property, Video 9 Video Tutorial: The Distributive Property: a(x - b), a negative, b negative

This is part of a collection of video tutorials on the topic of the Distributive Property.

Numerical and Algebraic Expressions
Video Tutorial: Using the Quadratic Formula: Example 1 Video Tutorial: Using the Quadratic Formula: Example 1 Video Tutorial: Using the Quadratic Formula: Example 1

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two real roots. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Quadratic Formula
Video Tutorial: Using the Quadratic Formula: Example 2 Video Tutorial: Using the Quadratic Formula: Example 2 Video Tutorial: Using the Quadratic Formula: Example 2

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two real roots. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Quadratic Formula
Video Tutorial: Using the Quadratic Formula: Example 3 Video Tutorial: Using the Quadratic Formula: Example 3 Video Tutorial: Using the Quadratic Formula: Example 3

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two real roots. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Quadratic Formula
Video Tutorial: Using the Quadratic Formula: Example 4 Video Tutorial: Using the Quadratic Formula: Example 4 Video Tutorial: Using the Quadratic Formula: Example 4

This video provides a step-by-step tutorial on using the quadratic formula. In this example there is only one real root. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Quadratic Formula
Video Tutorial: Using the Quadratic Formula: Example 5 Video Tutorial: Using the Quadratic Formula: Example 5 Video Tutorial: Using the Quadratic Formula: Example 5

This video provides a step-by-step tutorial on using the quadratic formula. In this example there are two complex roots. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Quadratic Formula
VIDEO: Brief Review: Addition and Subtraction Expressions VIDEO: Brief Review, Video 14 VIDEO: Brief Review: Addition and Subtraction Expressions

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical Expressions
VIDEO, Brief Review, Multiplication Expressions VIDEO: Brief Review, Video 15 VIDEO: Brief Review: Multiplication Expressions

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical Expressions
VIDEO: Brief Review: Division Expressions VIDEO: Brief Review, Video 16 VIDEO: Brief Review: Division Expressions

What Is a Variable?

A variable is a symbol, usually a letter, that can stand for different things.

Numerical Expressions
VIDEO, Brief Review, Order of Operations VIDEO: Brief Review, Video 17 VIDEO: Brief Review: Order of Operations

Watch the following video on Order of Operations. (The transcript is included.)

Video Transcript

 

A numerical expression includes numbers and operation symbols, addition, subtraction, multiplication, and division.

Because addition is commutative, adding from left to right, or right to left, gives you the same result.

The expressions 2 + 3 and 3 + 2 give the same result. But this isn't the case with all operations.

Subtraction isn't commutative.

Numerical Expressions