Illustrative Math Alignment: Grade 6 Unit 7

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

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

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

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

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

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

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

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

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

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

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

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

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

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Quiz Library

ary">click on this link.

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

Related Resources

Quiz Library

ary">click on this link.

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

Related Resources

Quiz Library

ary">click on this link.

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.

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.

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

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.

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

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.

In this Math Lab we look at compound inequalities. This video is Segment 2 of a 4 segment series related to Algebra Nspirations: 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.

In this Math Lab we look at graphical solutions to linear inequalities. This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Inequalities.

In this TI-Nspire CX tutorial, the Graph Window is used to graph 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 topic of comparing numerical amounts.

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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

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