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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 7

Rational Numbers

Lesson 8: Writing and Graphing Inequalities

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Algebra Applications Teacher's Guide: Inequalities Algebra Applications Teacher's Guide: Inequalities Algebra Applications Teacher's Guide: Inequalities

This is the Teacher's Guide that accompanies Algebra Applications: Inequalities.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

Applications of Equations and Inequalities
VIDEO: Algebra Applications: Inequalities VIDEO: Algebra Applications: Inequalities VIDEO: Algebra Applications: Inequalities

In this episode of Algebra Applications, two real-world explorations of inequalities are developed. Hybrid Cars. An examination of the equations and inequalities that involve miles per gallon (mpg) for city and highway traffic reveals important information about hybrid cars and those with gasoline-powered engines. Floods in Venice. Venice experiences a great deal of flooding, and with the expected rise of sea levels over the next century, this ancient city is in peril. Through a series of inequalities, students analyze the impact of flooding.

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

Applications of Equations and Inequalities and Inequalities
Algebra Nspirations Teacher's Guide: Inequalities Algebra Nspirations Teacher's Guide: Inequalities Algebra Nspirations Teacher's Guide: Inequalities

This is the Teacher's Guide that accompanies Algebra Nspirations: Inequalities.

This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

Applications of Equations and Inequalities
VIDEO: Algebra Nspirations: Inequalities VIDEO: Algebra Nspirations: Inequalities VIDEO: Algebra Nspirations: Inequalities

Used in just about any industry, inequalities, like equations, are fundamental building blocks of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video explores inequalities--concepts, properties, solutions, and notations--connects them to real-world contexts, and uses the TI-Nspire to make the algebra meaningful. The focus of this program is on linear inequalities in one and two variables. Concepts explored: Equations, inequalities.

Applications of Equations and Inequalities and Inequalities
Closed Captioned Video: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Closed Captioned Video: Linear Inequality Closed Captioned Video: Linear Inequality

In this TI Nspire tutorial, the Graph window is used to graph a linear inequality. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet.

This is part of a collection of closed captioned videos on various math topics. To see the complete collection of the videos, click on this link. Note: The download is Media4Math's guide to closed captioned videos.

Related Resources

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

Video Transcripts

This video has a transcript available. To see the complete collection of video transcripts, click on this link.
Inequalities
Closed Captioned Video: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders Closed Captioned Video: Linear Inequality Using Sliders Closed Captioned Video: Linear Inequality Using Sliders

In this TI Nspire tutorial, the Graph window is used to graph a linear inequality in slope-intercept form using sliders. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet.

Inequalities
Closed Captioned Video: Algebra Applications: Inequalities Closed Captioned Video: Algebra Applications: Inequalities Closed Captioned Video: Algebra Applications: Inequalities

In this episode of Algebra Applications, two real-world explorations of inequalities are developed. Hybrid Cars. An examination of the equations and inequalities that involve miles per gallon (mpg) for city and highway traffic reveals important information about hybrid cars and those with gasoline-powered engines. Floods in Venice. Venice experiences a great deal of flooding, and with the expected rise of sea levels over the next century, this ancient city is in peril. Through a series of inequalities, students analyze the impact of flooding.

Applications of Equations and Inequalities and Inequalities
Closed Captioned Video: Algebra Applications: Inequalities, Segment 1: Hybrid Cars Closed Captioned Video: Algebra Applications: Inequalities, 1 Closed Captioned Video: Algebra Applications: Inequalities, Segment 1: Hybrid Cars

With the increasing demand worldwide for cars, the cost of gasoline continues to rise. The need for fuel-efficient cars makes hybrids a current favorite. An examination of the equations and inequalities that involve miles per gallon (mpg) for city and highway traffic reveals important information about hybrid cars and those with gasoline-powered engines. Students use the Graphs and Geometry features of the TI-Nspire.

Applications of Equations and Inequalities and Inequalities
Closed Captioned Video: Algebra Applications: Inequalities, Segment 2: Floods in Venice Closed Captioned Video: Algebra Applications: Inequalities, 2 Closed Captioned Video: Algebra Applications: Inequalities, Segment 2: Floods in Venice

The city of Venice is slowly sinking into the Adriatic Sea. So what does a city whose streets are full of water do about flooding? Venice experiences a great deal of flooding, and with the expected rise of sea levels over the next century, this ancient city is in peril. Through a series of inequalities, students analyze the impact of flooding, rising sea levels, and sinking have on this grand, ancient city. Students use the Lists and Spreadsheets and the Program Editor features of the TI-Nspire.

Applications of Equations and Inequalities and Inequalities
Closed Captioned Video: Algebra Nspirations: Inequalities Closed Captioned Video: Algebra Nspirations: Inequalities Closed Captioned Video: Algebra Nspirations: Inequalities

Used in just about any industry, inequalities, like equations, are fundamental building blocks of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video explores inequalities—concepts, properties, solutions, and notations— connects them to real-world contexts, and uses the TI-Nspire to make the algebra meaningful. The focus of this program is on linear inequalities in one and two variables. Concepts explored: Equations, inequalities.

Applications of Equations and Inequalities and Inequalities
Closed Captioned Video: Algebra Nspirations: Inequalities, Segment 1 Closed Captioned Video: Algebra Nspirations: Inequalities, 1 Closed Captioned Video: Algebra Nspirations: Inequalities, Segment 1

In this Investigation we explore linear inequalities in one variable. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Inequalities. Segments 1 and 2 are grouped together.

Applications of Equations and Inequalities and Inequalities
Closed Captioned Video: Algebra Nspirations: Inequalities, Segment 3 Closed Captioned Video: Algebra Nspirations: Inequalities, 3 Closed Captioned Video: Algebra Nspirations: Inequalities, Segment 3

In this Investigation we look at linear inequalities in two variables. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Inequalities. Segments 3 and 4 are grouped together.

Applications of Equations and Inequalities and Inequalities
Definition--Inequality Concepts--Addition Property of Inequality Definition--Inequality Concepts--Addition Property of Inequality Definition--Inequality Concepts--Addition Property of Inequality

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Anti-Reflexive Property Definition--Inequality Concepts--Anti-Reflexive Property Definition--Inequality Concepts--Anti-Reflexive Property

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Anti-Symmetric Property Definition--Inequality Concepts--Anti-Symmetric Property Definition--Inequality Concepts--Anti-Symmetric Property

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Closed Interval Definition--Inequality Concepts--Closed Interval Definition--Inequality Concepts--Closed Interval

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Compound Inequalities Definition--Inequality Concepts--Compound Inequalities Definition--Inequality Concepts--Compound Inequalities

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Division Property of Inequalities Definition--Inequality Concepts--Division Property of Inequalities Definition--Inequality Concepts--Division Property of Inequalities

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Graphs of Linear Inequalities in One Variable Definition--Inequality Concepts--Graphs of Linear Inequalities in One Variable Definition--Inequality Concepts--Graphs of Linear Inequalities in One Variable

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Graphs of Linear Inequalities in Two Variables Definition--Inequality Concepts--Graphs of Linear Inequalities in Two Variables Definition--Inequality Concepts--Graphs of Linear Inequalities in Two Variables

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Greater Than Definition--Inequality Concepts--Greater Than Definition--Inequality Concepts--Greater Than

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Greater Than or Equal To Definition--Inequality Concepts--Greater Than or Equal To Definition--Inequality Concepts--Greater Than or Equal To

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Half-Open Interval Definition--Inequality Concepts--Half-Open Interval Definition--Inequality Concepts--Half-Open Interval

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Inequalities Definition--Inequality Concepts--Inequalities Definition--Inequality Concepts--Inequalities

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Inequation Definition--Inequality Concepts--Inequation Definition--Inequality Concepts--Inequation

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Interval Notation Definition--Inequality Concepts--Interval Notation Definition--Inequality Concepts--Interval Notation

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Less Than Definition--Inequality Concepts--Less Than Definition--Inequality Concepts--Less Than

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Less Than Or Equal To Definition--Inequality Concepts--Less Than Or Equal To Definition--Inequality Concepts--Less Than Or Equal To

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Multiplication Property of Inequality Definition--Inequality Concepts--Multiplication Property of Inequality Definition--Inequality Concepts--Multiplication Property of Inequality

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Number Line Definition--Inequality Concepts--Number Line Definition--Inequality Concepts--Number Line

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Solving One-Step Addition Inequalities Definition--Inequality Concepts--Solving One-Step Addition Inequalities Definition--Inequality Concepts--Solving One-Step Addition Inequalities

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Solving One-Step Division Inequalities Definition--Inequality Concepts--Solving One-Step Division Inequalities Definition--Inequality Concepts--Solving One-Step Division Inequalities

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Solving One-Step Multiplication Inequalities Definition--Inequality Concepts--Solving One-Step Multiplication Inequalities Definition--Inequality Concepts--Solving One-Step Multiplication Inequalities

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Solving One-Step Subtraction Inequalities Definition--Inequality Concepts--Solving One-Step Subtraction Inequalities Definition--Inequality Concepts--Solving One-Step Subtraction Inequalities

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Square Root Property Definition--Inequality Concepts--Square Root Property Definition--Inequality Concepts--Square Root Property

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Subtraction Property of Inequality Definition--Inequality Concepts--Subtraction Property of Inequality Definition--Inequality Concepts--Subtraction Property of Inequality

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Transitive Property Definition--Inequality Concepts--Transitive Property Definition--Inequality Concepts--Transitive Property

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--Inequality Concepts--Visual Models for Inequalities Definition--Inequality Concepts--Visual Models for Inequalities Definition--Inequality Concepts--Visual Models for Inequalities

This is a collection of definitions related to inequalities. This includes inequalities that include numbers only and those with one or two variables.

Inequalities
Definition--SolvingLinearInequalities1Var.jpg Definition--Solving Linear Inequalities in One Variable

The definition of the term "Solving Linear Inequalities in One Variable."

Note: The download is a JPG file.

Related Resources

To see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary
Inequalities
INSTRUCTIONAL RESOURCE: Math Examples--Linear Inequalities INSTRUCTIONAL RESOURCE: Math Examples 28 INSTRUCTIONAL RESOURCE: Math Examples--Linear Inequalities

The complete set of 12 examples that make up this set of tutorials.

This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.

Library of Instructional Resources

To see the complete library of Instructional Resources , click on this link.

Inequalities
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities

In this Slide Show, the Graph Window is used to graph linear inequalities. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Inequalities and Applications of Linear Functions
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities with Sliders INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Graphs of Inequalities with Sliders

In this Slide Show, the Graph Window is used to graph inequalities using sliders. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Inequalities and Applications of Linear Functions
Math Clip Art--Equations and Inequalities--Inequalities Math Clip Art--Equations and Inequalities--Inequalities Math Clip Art--Equations and Inequalities--Inequalities

This is part of a collection of math clip art images about equations and inequalities.

Inequalities
Math Example--Inequalities-- Linear Inequalities: Example 1 Math Example--Inequalities-- Linear Inequalities: Example 1 Math Example--Inequalities-- Linear Inequalities: Example 1

Topic

Inequalities

Description

This example demonstrates how to graph the linear inequality y > 2x + 3. The graph shows a dashed line representing the equation y = 2x + 3, with the region above the line shaded to indicate where the inequality holds true. The use of a dashed line signifies that points on the line itself are not included in the solution set.

Inequalities
Math Example--Inequalities-- Linear Inequalities: Example 10 Math Example--Inequalities-- Linear Inequalities: Example 10 Math Example--Inequalities-- Linear Inequalities: Example 10

Topic

Inequalities

Description

This example illustrates the graphing of the linear inequality y ≤ 3x + 2. The graph features a solid line representing the equation y = 3x + 2, with the area below the line shaded to indicate the region where the inequality is satisfied. The solid line signifies that points on the line are included in the solution set.

Inequalities
Math Example--Inequalities-- Linear Inequalities: Example 11 Math Example--Inequalities-- Linear Inequalities: Example 11 Math Example--Inequalities-- Linear Inequalities: Example 11

Topic

Inequalities

Description

This example demonstrates the graphing of the linear inequality y ≤ -2x + 1. The graph shows a solid line representing the equation y = -2x + 1, with the region below the line shaded to indicate where the inequality holds true. The solid line signifies that points on the line are included in the solution set.

Inequalities
Math Example--Inequalities-- Linear Inequalities: Example 12 Math Example--Inequalities-- Linear Inequalities: Example 12 Math Example--Inequalities-- Linear Inequalities: Example 12

Topic

Inequalities

Description

This example illustrates the graphing of the linear inequality y ≤ -3. The graph features a solid horizontal line at y = -3, with the region below this line shaded to represent the solution set of the inequality. The use of a solid line indicates that points on the line itself are included in the solution.

Inequalities
Math Example--Inequalities-- Linear Inequalities: Example 2 Math Example--Inequalities-- Linear Inequalities: Example 2 Math Example--Inequalities-- Linear Inequalities: Example 2

Topic

Inequalities

Description

This example illustrates the graphing of the linear inequality y > -3x + 1. The graph features a dashed line representing the equation y = -3x + 1, with the area above the line shaded to indicate the region where the inequality is satisfied. The dashed line signifies that points on the line are not part of the solution set.

Inequalities
Math Example--Inequalities-- Linear Inequalities: Example 3 Math Example--Inequalities-- Linear Inequalities: Example 3 Math Example--Inequalities-- Linear Inequalities: Example 3

Topic

Inequalities

Description

This example demonstrates the graphing of the linear inequality y > -1. The graph shows a dashed horizontal line at y = -1, with the region above this line shaded to represent the solution set of the inequality. The use of a dashed line indicates that points on the line itself are not included in the solution.

Inequalities
Math Example--Inequalities-- Linear Inequalities: Example 4 Math Example--Inequalities-- Linear Inequalities: Example 4 Math Example--Inequalities-- Linear Inequalities: Example 4

Topic

Inequalities

Description

This example illustrates the graphing of the linear inequality y < x - 2. The graph features a dashed line representing the equation y = x - 2, with the area below the line shaded to indicate the region where the inequality holds true. The dashed line signifies that points on the line are not included in the solution set.

Inequalities