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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 7

Expressions, Equations, and Inequalities

Lesson 7: Reasoning about Solving Equations (Part 1)

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
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
Video Tutorial: Equations of Parallel Lines Video Tutorial: Equations of Parallel Lines Video Tutorial: Equations of Parallel Lines

This video looks at the algebraic properties of equations of parallel lines. Included is a geometric proof.

Point-Slope Form, Slope-Intercept Form and Parallel Lines
Video Tutorial: Equations of Perpendicular Lines Video Tutorial: Equations of Perpendicular Lines Video Tutorial: Equations of Perpendicular Lines

This video looks at the algebraic properties of equations of perpendicular lines. Included is a geometric proof.

Point-Slope Form, Slope-Intercept Form and Perpendicular Lines
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: Properties of Equality Video Tutorial: Properties of Equality Video Tutorial: Properties of Equality

In this video, learn about the properties of equality that are the core of the equation-solving process. They'll learn about true properties for each of the four operations. Only subscribers to Media4Math Library can download these resources.

Applications of Equations and Inequalities
VideoTutorial--Quadratics7Thumbnail.jpg Video Tutorial: Quadratics, Video 7 Video Tutorial: Quadratics: Solving Quadratic Equations in Standard Form by Completing the Square

This is part of a collection of video tutorials on the topic of Quadratic Functions and Equations.

Graphs of Quadratic Functions and Quadratic Equations and Functions
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--2StepMultAdd.jpg Video Tutorial: Two-Step Equations, Video 1 Video Tutorial: Two-Step Equations: Multiplication and Addition

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

Solving Two-Step Equations
VideoTutorial--2StepMultSubt.jpg Video Tutorial: Two-Step Equations, Video 2 Video Tutorial: Two-Step Equations: Multiplication and Subtraction

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

Solving Two-Step Equations
VideoTutorial--2StepDivAdd.jpg Video Tutorial: Two-Step Equations, Video 3 Video Tutorial: Two-Step Equations: Division and Addition

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

Solving Two-Step Equations
VideoTutorial--2StepDivSubt.jpg Video Tutorial: Two-Step Equations, Video 4 Video Tutorial: Two-Step Equations: Division and Subtraction

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

Solving Two-Step Equations
Video Tutorial: What Are Identities? Video Tutorial: What Are Identities? Video Tutorial: What Are Identities?

In this video, students expand their knowledge of properties of equations with a focus on identities. Students will see how to use identities to solve equations, in particular certain quadratic equations.

Applications of Equations and Inequalities and Quadratic Equations and Functions
Video Tutorial: What Is an Equation? Video Tutorial: What Is an Equation? Video Tutorial: What Is an Equation?

In this video, students the basics of equations. They'll learn about true equations, false equations, and conditional equations.

Applications of Equations and Inequalities
VIDEO: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss VIDEO: Algebra Applications: Systems of Equations, 1 VIDEO: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss

Profit and loss are the key measures in a business. A system of equations that includes an equation for income and one for expenses can be used to determine profit and loss. Students solve a system graphically.

This is part of a collection of videos from the Algebra Applications video series on the topic of Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Applications: Systems of Equations, Segment 2: Encryption VIDEO: Algebra Applications: Systems of Equations, 2 VIDEO: Algebra Applications: Systems of Equations, Segment 2: Encryption

Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message.

This is part of a collection of videos from the Algebra Applications video series on the topic of Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles VIDEO: Algebra Applications: Systems of Equations, 3 VIDEO: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles

A ballistic missile shield allows you to shoot incoming missiles out of the sky. Mathematically, this is an example of a linear-quadratic system. Students graph such a system and find the points of intersection between a line and a parabola.

This is part of a collection of videos from the Algebra Applications video series on the topic of Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Applications: Variables and Equations, Segment 1: Introduction. VIDEO: Algebra Applications: Variables and Equations, 1 VIDEO: Algebra Applications: Variables and Equations, Segment 1: Introduction.

An overview of the key topics to be covered in the video.

This is part of a collection of videos from the Algebra Applications video series on the topic of Variables and Equations.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Applications: Variables and Equations, Segment 2: Honey Production. VIDEO: Algebra Applications: Variables and Equations, 2 VIDEO: Algebra Applications: Variables and Equations, Segment 2: Honey Production.

Honey bees not only produce a tasty treat, they also help pollinate flowering plants that provide much of the food throughout the world. So, when in 2006 bee colonies started dying out, scientists recognized a serious problem. Analyzing statistics from honey bee production allows for a mathematical analysis of the so-called Colony Collapse Disorder.

This is part of a collection of videos from the Algebra Applications video series on the topic of Variables and Equations.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios. VIDEO: Algebra Applications: Variables and Equations, 3 VIDEO: Algebra Applications: Variables and Equations, Segment 3: River Ratios.

Why do rivers meander instead of traveling in a straight line? In going from point A to point B, why should a river take the circuitous route it does instead of a direct path? Furthermore, what information can the ratio of the river’s length to its straight-line distance tell us? In this segment the geological forces that account for a river's motion are explained. In the process, the so-called Meander Ratio is explored. Students construct a mathematical model of a meandering river using the TI-Nspire. Having built the model, students then use it to generate data to find the average of many Meander Ratios. The results show that on average the Meander Ratio is equal to pi.

This is part of a collection of videos from the Algebra Applications video series on the topic of Variables and Equations.

Applications of Equations and Inequalities, Variables and Unknowns, Variable Expressions and Applications of Ratios, Proportions, and Percents
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 1 VIDEO: Algebra Nspirations: Solving Systems of Equations, 1 VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 1

In this Investigation we solve a linear system. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 2 VIDEO: Algebra Nspirations: Solving Systems of Equations, 2 VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 2

In this Math Lab, we explore the break-even point for a business. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 3 VIDEO: Algebra Nspirations: Solving Systems of Equations, 3 VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 3

In this Investigation we use matrices and the elimination method to solve a linear system. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 4 VIDEO: Algebra Nspirations: Solving Systems of Equations, 4 VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 4

In this Math Lab we explore the graphical solution of a nonlinear system. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations.

Applications of Linear Systems and Solving Systems of Equations
VIDEO: Algebra Nspirations: Variables and Equations, Segment 1 VIDEO: Algebra Nspirations: Variables and Equations, 1 VIDEO: Algebra Nspirations: Variables and Equations, Segment 1

In this Investigation we get a historical overview of equations. This video is Segment 1 of a 2 segment series related to Variables and Equations.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Nspirations: Variables and Equations, Segment 2 VIDEO: Algebra Nspirations: Variables and Equations, 2 VIDEO: Algebra Nspirations: Variables and Equations, Segment 2

In this Math Lab a hands-on activity has students comparing the diameter of a circle and its circumference. This video is Segment 2 of a 2 segment series related to Variables and Equations.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Nspirations: Variables and Equations, Segment 3 VIDEO: Algebra Nspirations: Variables and Equations, 3 VIDEO: Algebra Nspirations: Variables and Equations, Segment 3

Watch this video about variables and equations. (The transcript is included.)

Video Transcript

 

From the mathematics of old Babylon and Egypt, to the mathematics of ancient Greece,

China, India, the Islamic world, and all the way up to
the Renaissance and the present, equations have played
a central role in the development of algebra.

But algebraic equations haven't always been written in present day symbolic form.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Nspirations: Variables and Equations, Segment 4 VIDEO: Algebra Nspirations: Variables and Equations, 4 VIDEO: Algebra Nspirations: Variables and Equations, Segment 4

In this Math Lab we look at an area model for expanding the product of two binomials. This video is Segment 4 of a 4-segment series related to Variables and Equations.

Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
WorksheetThumbnail.jpg Worksheet: Checking Equations, Worksheet 1 Worksheet: Checking Equations, Worksheet 1

This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Addition Facts to 25
WorksheetThumbnail.jpg Worksheet: Checking Equations, Worksheet 2 Worksheet: Checking Equations, Worksheet 2

This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Addition Facts to 25
WorksheetThumbnail.jpg Worksheet: Checking Equations, Worksheet 3 Worksheet: Checking Equations, Worksheet 3

This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Addition Facts to 25
WorksheetThumbnail.jpg Worksheet: Checking Equations, Worksheet 4 Worksheet: Checking Equations, Worksheet 4

This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Addition Facts to 25
WorksheetThumbnail.jpg Worksheet: Checking Equations, Worksheet 5 Worksheet: Checking Equations, Worksheet 5

This is part of a collection of math worksheets on the topic of determining if an equation is true or false using their addition skills. Note: Point out to students that the equals sign with a question mark above indicates that the equation may be true or false.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Addition Facts to 25
Worksheet: Desmos Activity: Linear Equations in Point-Slope Form Worksheet: Desmos Activity: Linear Equations in Point-Slope Form Worksheet: Desmos Activity: Linear Equations in Point-Slope Form

This is part of a collection of math worksheets that are companions to interactive Desmos activities.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Point-Slope Form
Worksheet: Desmos Activity: Linear Equations in Standard Form Worksheet: Desmos Activity: Linear Equations in Standard Form Worksheet: Desmos Activity: Linear Equations in Standard Form

This is part of a collection of math worksheets that are companions to interactive Desmos activities.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Standard Form
Worksheet: Modeling Equations Worksheet: Modeling Equations Worksheet: Modeling Equations

Given a visual model, students write the corresponding addition equation.

Note: The download is a PDF file.

Related Resources

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Worksheet Library

To see the complete collection of Worksheets, click on this link.
Addition Expressions and Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 1 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 1 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 1

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 10 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 10 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 10

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 11 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 11 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 11

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

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Worksheet Library

To see the complete collection of Worksheets, click on this link.
Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 12 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 12 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 12

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

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Worksheet Library

To see the complete collection of Worksheets, click on this link.
Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 13 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 13 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 13

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

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Worksheet Library

To see the complete collection of Worksheets, click on this link.
Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 14 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 14 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 14

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 15 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 15 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 15

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 16 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 16 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 16

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Solving One-Step Equations
Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 17 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 17 Worksheet: One-Step Equations with Solutions In the Range 0 To 10 Set 17

This is part of a collection of math worksheets on the topic of solving one-step equations.

To see the complete worksheet collection on this topic, click on this link. Note: The download is a PDF file.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.

Worksheet Library

To see the complete collection of Worksheets, click on this link.
Solving One-Step Equations