Illustrative Math Alignment: Grade 6 Unit 7

Topic

Topic: Inequalities

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.

Related Resources

Video Transcripts

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.

Topic

Inequalities

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.

Topic

Inequalities

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.

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

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

Note: The download is a JPG file.

Related Resources

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

Related Resources

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

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

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

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

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

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

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

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

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

Topic

Topic: Inequalities

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.

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.

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 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.

Related Resources

Worksheet Library

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.

Related Resources

Worksheet Library