Illustrative Math Alignment: Grade 6 Unit 7

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

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

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.

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

Related Resources

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

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.

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.

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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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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

Library of Instructional Resources

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

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.

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.

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

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.