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
Math Example--Inequalities-- Linear Inequalities: Example 5 Math Example--Inequalities-- Linear Inequalities: Example 5 Math Example--Inequalities-- Linear Inequalities: Example 5

Topic

Inequalities

Description

This example demonstrates the graphing of the linear inequality y < -3x + 4. The graph shows a dashed line representing the equation y = -3x + 4, with the region below the line shaded to indicate where the inequality holds true. Quadrants II and III are predominantly shaded, illustrating the solution set of this inequality.

Inequalities
Math Example--Inequalities-- Linear Inequalities: Example 6 Math Example--Inequalities-- Linear Inequalities: Example 6 Math Example--Inequalities-- Linear Inequalities: Example 6

Topic

Inequalities

Description

This example illustrates the graphing of the linear inequality y < 6. The graph features a horizontal dashed line at y = 6, with the region below this line shaded to represent the solution set of the inequality. Quadrants III and IV are entirely shaded, demonstrating where the inequality holds true.

Inequalities
Math Example--Inequalities-- Linear Inequalities: Example 7 Math Example--Inequalities-- Linear Inequalities: Example 7 Math Example--Inequalities-- Linear Inequalities: Example 7

Topic

Inequalities

Description

This example demonstrates the graphing of the linear inequality y ≥ 5x + 3. The graph shows a solid line representing the equation y = 5x + 3, with the region above the line shaded to indicate where the inequality holds true. Quadrants I and II are predominantly shaded, illustrating the solution set of this inequality. The use of a solid line signifies that points on the line are included in the solution.

Inequalities
Math Example--Inequalities-- Linear Inequalities: Example 8 Math Example--Inequalities-- Linear Inequalities: Example 8 Math Example--Inequalities-- Linear Inequalities: Example 8

Topic

Inequalities

Description

This example illustrates the graphing of the linear inequality y ≥ -2x - 1. The graph features a solid line representing the equation y = -2x - 1, with the area above the line shaded to indicate the region where the inequality is satisfied. Quadrants I and IV are predominantly shaded, demonstrating the solution set of this inequality. The solid line signifies that points on the line are included in the solution.

Inequalities
Math Example--Inequalities-- Linear Inequalities: Example 9 Math Example--Inequalities-- Linear Inequalities: Example 9 Math Example--Inequalities-- Linear Inequalities: Example 9

Topic

Inequalities

Description

This example demonstrates the graphing of the linear inequality y ≥ 2. The graph shows a solid horizontal line at y = 2, with the region above 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--Solving One-Variable Inequalities: Example 1 Math Example--Inequalities--Solving One-Variable Inequalities: Example 1 Math Example--Inequalities--Solving One-Variable Inequalities: Example 1

This is part of a collection of math examples that focus on inequalities.

Inequalities
Math Example--Inequalities--Solving One-Variable Inequalities: Example 10 Math Example--Inequalities--Solving One-Variable Inequalities: Example 10 Math Example--Inequalities--Solving One-Variable Inequalities: Example 10

This is part of a collection of math examples that focus on inequalities.

Inequalities
Math Example--Inequalities--Solving One-Variable Inequalities: Example 11 Math Example--Inequalities--Solving One-Variable Inequalities: Example 11 Math Example--Inequalities--Solving One-Variable Inequalities: Example 11

This is part of a collection of math examples that focus on inequalities.

Inequalities
Math Example--Inequalities--Solving One-Variable Inequalities: Example 12 Math Example--Inequalities--Solving One-Variable Inequalities: Example 12 Math Example--Inequalities--Solving One-Variable Inequalities: Example 12

This is part of a collection of math examples that focus on inequalities.

Inequalities
Math Example--Inequalities--Solving One-Variable Inequalities: Example 2 Math Example--Inequalities--Solving One-Variable Inequalities: Example 2 Math Example--Inequalities--Solving One-Variable Inequalities: Example 2

This is part of a collection of math examples that focus on inequalities.

Inequalities
Math Example--Inequalities--Solving One-Variable Inequalities: Example 3 Math Example--Inequalities--Solving One-Variable Inequalities: Example 3 Math Example--Inequalities--Solving One-Variable Inequalities: Example 3

This is part of a collection of math examples that focus on inequalities.

Inequalities
Math Example--Inequalities--Solving One-Variable Inequalities: Example 4 Math Example--Inequalities--Solving One-Variable Inequalities: Example 4 Math Example--Inequalities--Solving One-Variable Inequalities: Example 4

This is part of a collection of math examples that focus on inequalities.

Inequalities
Math Example--Inequalities--Solving One-Variable Inequalities: Example 5 Math Example--Inequalities--Solving One-Variable Inequalities: Example 5 Math Example--Inequalities--Solving One-Variable Inequalities: Example 5

This is part of a collection of math examples that focus on inequalities.

Inequalities
Math Example--Inequalities--Solving One-Variable Inequalities: Example 6 Math Example--Inequalities--Solving One-Variable Inequalities: Example 6 Math Example--Inequalities--Solving One-Variable Inequalities: Example 6

This is part of a collection of math examples that focus on inequalities.

Inequalities
Math Example--Inequalities--Solving One-Variable Inequalities: Example 7 Math Example--Inequalities--Solving One-Variable Inequalities: Example 7 Math Example--Inequalities--Solving One-Variable Inequalities: Example 7

This is part of a collection of math examples that focus on inequalities.

Inequalities
Math Example--Inequalities--Solving One-Variable Inequalities: Example 8 Math Example--Inequalities--Solving One-Variable Inequalities: Example 8 Math Example--Inequalities--Solving One-Variable Inequalities: Example 8

This is part of a collection of math examples that focus on inequalities.

Inequalities
Math Example--Inequalities--Solving One-Variable Inequalities: Example 9 Math Example--Inequalities--Solving One-Variable Inequalities: Example 9 Math Example--Inequalities--Solving One-Variable Inequalities: Example 9

This is part of a collection of math examples that focus on inequalities.

Inequalities
MATH EXAMPLES--Teacher's Guide: Linear Inequalities MATH EXAMPLES--Teacher's Guide: Linear Inequalities MATH EXAMPLES--Teacher's Guide: Linear Inequalities

This Teacher's Guide provides an overview of the 12 worked-out examples that show how to graph a linear inequality.

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.

Inequalities
Paper-and-Pencil Quiz: Graphing Inequalities (Easy) Paper-and-Pencil Quiz: Graphing Inequalities (Easy) Paper-and-Pencil Quiz: Graphing Inequalities (Easy)

This is part of a collection of math quizzes on the topic of the Graphing Inequalities.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Inequalities
Paper-and-Pencil Quiz: Graphing Inequalities (Hard) Paper-and-Pencil Quiz: Graphing Inequalities (Hard) Paper-and-Pencil Quiz: Graphing Inequalities (Hard)

This is part of a collection of math quizzes on the topic of the Graphing Inequalities.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Inequalities
Paper-and-Pencil Quiz: Graphing Inequalities (Medium) Paper-and-Pencil Quiz: Graphing Inequalities (Medium) Paper-and-Pencil Quiz: Graphing Inequalities (Medium)

This is part of a collection of math quizzes on the topic of the Graphing Inequalities.

To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).

Related Resources

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

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Inequalities
Video Transcript: Algebra Nspirations: Inequalities, Part 1 Video Transcript: Algebra Nspirations: Inequalities, 1 Video Transcript: Algebra Nspirations: Inequalities, Part 1

This is the transcript for the video of same title. Video contents: In this Investigation we explore linear inequalities in one variable.

This is part of a collection of video transcript from the Algebra Nspirations video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Inequalities
Video Transcript: Algebra Nspirations: Inequalities, Part 2 Video Transcript: Algebra Nspirations: Inequalities, 2 Video Transcript: Algebra Nspirations: Inequalities, Part 2

This is the transcript for the video of same title. Video contents: In this Investigation we look at linear inequalities in two variables.

This is part of a collection of video transcript from the Algebra Nspirations video series. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Inequalities
Video Transcript: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Video Transcript: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Video Transcript: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Graphing a Linear Inequality.

This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Inequalities
Video Transcript: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders Video Transcript: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders Video Transcript: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Graphing a Linear Inequality Using Sliders.

This is part of a collection of video transcripts for the video tutorial series on using the TI-Nspire Graphing Calculator. To see the complete collection of transcripts, click on this link. Note: The download is a PDF file. Video Transcript Library

To see the complete collection of video transcriptsy, click on this link.

Inequalities
VIDEO: Algebra Applications: Inequalities, Segment 1: Hybrid Cars. VIDEO: Algebra Applications: Inequalities, 1 VIDEO: Algebra Applications: Inequalities, 1

Topic

Topic: Inequalities

Applications of Equations and Inequalities and Inequalities
VIDEO: Algebra Applications: Inequalities, Segment 2: Floods in Venice. VIDEO: Algebra Applications: Inequalities, 2 VIDEO: Algebra Applications: Inequalities, 2

Topic

Topic: Inequalities

Description

This video models an inequality to explain how floodgates in Venice prevent flooding during storms. The key concept is the activation threshold, where the water level exceeds a critical value. Vocabulary includes inequality, threshold, variable, and model. Using a TI-Nspire, the video demonstrates creating a random variable for water levels and a function to evaluate if floodgates should activate. It illustrates real-world applications in engineering and environmental management.

Applications of Equations and Inequalities and Inequalities
VIDEO: Algebra Nspirations: Inequalities, Segment 1 VIDEO: Algebra Nspirations: Inequalities, 1 VIDEO: Algebra Nspirations: Inequalities, 1

Topic

Inequalities

Description

This video introduces inequalities, contrasting them with equations, and discusses their properties and solution methods. Key concepts include graphing solutions, interval notation, and inequality symbols. Applications are contextualized through scenarios like semester grades and fitness ranges. Key terms include inequality, interval notation, and solution set.

Applications of Equations and Inequalities and Inequalities
VIDEO: Algebra Nspirations: Inequalities, Segment 2 VIDEO: Algebra Nspirations: Inequalities, 2 VIDEO: Algebra Nspirations: Inequalities, 2

Topic

Inequalities

Description

In this Math Lab explore compound inequalities on a number line.

This video highlights key concepts in inequalities, offering practical examples that make abstract math principles more accessible. Through a comprehensive approach, students can connect theoretical knowledge to real-world applications.

Relevance: This video directly supports the topic by illustrating inequalities in a clear and engaging way, making it easier for students to understand complex ideas.

Applications of Equations and Inequalities and Inequalities
VIDEO: Algebra Nspirations: Inequalities, Segment 3 VIDEO: Algebra Nspirations: Inequalities, 3 VIDEO: Algebra Nspirations: Inequalities, 3

Topic

Inequalities

Description

Building on Part 1, this video explores systems of inequalities and their geometric representations. Applications include business profit modeling using linear inequalities. Key vocabulary includes half-planes, slope-intercept form, and solution regions. Real-world examples, like yoga studio budgeting, highlight practical uses of inequalities.

Applications of Equations and Inequalities and Inequalities
VIDEO: Algebra Nspirations: Inequalities, Segment 4 VIDEO: Algebra Nspirations: Inequalities, 4 VIDEO: Algebra Nspirations: Inequalities, 4

Topic

Inequalities

Description

In this Math Lab explore graphical solutions to linear inequalities.

This video highlights key concepts in inequalities, offering practical examples that make abstract math principles more accessible. Through a comprehensive approach, students can connect theoretical knowledge to real-world applications.

Relevance: This video directly supports the topic by illustrating inequalities in a clear and engaging way, making it easier for students to understand complex ideas.

Applications of Equations and Inequalities and Inequalities
VIDEO: TI-Nspire CX Mini-Tutorial: Graph of Inequalities VIDEO: Ti-Nspire Mini-Tutorial, Video 5 VIDEO: TI-Nspire CX Mini-Tutorial: Graph of Inequalities

In this TI-Nspire CX tutorial, the Graph Window is used to graph inequalities.

Inequalities
VIDEO: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality VIDEO: Ti-Nspire Mini-Tutorial, Video 78 VIDEO: TI-Nspire Mini-Tutorial: Graphing a 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.

Inequalities
Worksheet: Comparing Fractions Worksheet: Comparing Fractions Worksheet: Comparing Fractions

This is part of a collection of math worksheets on the topic of comparing numerical amounts.

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

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Worksheet Library

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Compare and Order Fractions
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

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.
Inequalities
Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders Worksheet: TI-Nspire Mini-Tutorial: Graphing a Linear Inequality Using Sliders

This is part of a collection of math worksheets on the use of the TI-Nspire graphing calculator. Each worksheet supports a companion TI-Nspire Mini-Tutorial video. It provides all the keystrokes for the activity.

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.
Inequalities