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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 2

Dilations, Similarity, and Introducing Slope

Lesson 10: Meet Slope

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Definition--Slope Concepts--Slope-Intercept Form Definition--Slope Concepts--Slope-Intercept Form Slope-Intercept Form

Topic

Slope

Definition

The slope-intercept form is an equation of a straight line represented as y = m x + b, where m is the slope and b is the y-intercept.

Description

The slope-intercept form is a fundamental concept in algebra, providing a straightforward way to graph linear equations. It is widely used in various fields, from economics to physics, to model linear relationships and predict outcomes based on given data. Understanding this form is crucial for students as it lays the foundation for more complex mathematical concepts and real-world applications.

Slope-Intercept Form
Definition--Slope Concepts--Slopes of Parallel Lines Definition--Slope Concepts--Slopes of Parallel Lines Slopes of Parallel Lines

Topic

Slope

Definition

Parallel lines are lines in the same plane that never meet; they have equal slopes.

Description

Understanding the slopes of parallel lines is essential in geometry and algebra, as it helps in identifying and proving parallelism in shapes and graphs. This concept is applied in various fields, including architecture and engineering, where maintaining parallelism is crucial for structural integrity and design. In mathematics education, this concept aids in developing logical reasoning and problem-solving skills.

Slope
Definition--Slope Concepts--Slopes of Perpendicular Lines Definition--Slope Concepts--Slopes of Perpendicular Lines Slopes of Perpendicular Lines

Topic

Slope

Definition

Perpendicular lines intersect at a right angle, and their slopes are negative reciprocals of each other.

Description

The concept of perpendicular slopes is vital in geometry, as it helps in determining the orthogonality of lines. This principle is used in various applications, such as designing perpendicular intersections in roadways and creating right-angle joints in construction. In education, it enhances students' understanding of geometric properties and their ability to solve related problems.

Slope
Definition--Slope Concepts--Steepness Definition--Slope Concepts--Steepness Steepness

Topic

Slope

Definition

Steepness is a measure of how steep a line is, typically calculated as the absolute value of the slope.

Description

Steepness is a key concept in understanding the inclination of lines and surfaces. It is commonly used in fields like geology and civil engineering to assess the gradient of terrains and structures. In math education, learning about steepness helps students grasp the concept of slope and its practical implications, enhancing their analytical skills and understanding of real-world phenomena.

Slope
Definition--Slope Concepts--The Rise Over the Run Definition--Slope Concepts--The Rise Over the Run The Rise Over the Run

Topic

Slope

Definition

The rise over the run describes the change in y over the change in x in a linear relationship.

Description

The concept of "rise over run" is foundational in understanding how to calculate the slope of a line. It is used in various disciplines, such as physics and economics, to model relationships and predict trends. In education, mastering this concept is crucial for students as it forms the basis for graphing linear equations and understanding the behavior of lines in a coordinate plane.

Slope
Definition--Slope Concepts--Undefined Slope Definition--Slope Concepts--Undefined Slope Undefined Slope

Topic

Slope

Definition

Undefined slope occurs when a vertical line is present, meaning there is no change in x.

Description

An undefined slope is a critical concept in mathematics, particularly in graphing. It indicates a vertical line where the change in x is zero, making the slope calculation impossible. This concept is important in various fields, such as computer graphics and data analysis, where vertical lines can represent boundaries or limits. Understanding undefined slopes helps students in identifying and interpreting vertical lines in graphs.

Slope
Definition--Slope Concepts--Zero Slope Definition--Slope Concepts--Zero Slope Zero Slope

Topic

Slope

Definition

Zero slope describes a horizontal line where there is no change in y as x changes.

Description

A zero slope is a key concept in algebra and geometry, representing a horizontal line. It is used in various applications, such as designing flat surfaces and analyzing constant relationships in data. In education, understanding zero slopes helps students in graphing and interpreting horizontal lines, enhancing their ability to analyze linear relationships.

For a complete collection of terms related to Slope click on this link: Slope Collection.

Slope
Desmos activity Desmos Activity: Slope As Rate of Change Desmos Activity: Slope As Rate of Change

Use this activity to explore slope as a rate of change. In this Desmos activity, the slope of the line is the rate (cost per pound) for purchasing fruit. Students manipulate the slider for m to see the impact on the cost.

Slope and Ratios and Rates
Desmos activity Desmos Activity: Slope As Rise Over Run Desmos Activity: Slope As Rise Over Run

This Desmos activity allows students to explore slope as the ratio of the rise over the run. Click Preview to launch the activity. In the activity students click on the points to create a line segment connecting two points. Use the background grid to determine the rise and the run and calculate the slope.

Slope
Desmos activity Desmos Activity: Slope As Rise Over Run 2

Desmos Activity: Slope As Rise Over Run 2

In this activity, students input different values for the coordinates to create a new line. They can then measure the rise and run to calculate the slope.

Slope
Formulas--Slope Formula Formulas--Slope Formula Formulas | Slope Formula

The formula for the Slope Formula. This is part of a collection of math formulas. 

—PRESS PREVIEW TO SEE THE IMAGE— To see the complete collection of formulas, click on this link.

The following section includes background information on slope. This background also includes video resources and accompanying transcripts.

What Is Slope?

Watch this video to learn about the slope formula. (The transcript is also included.)

Slope
Strategy Pack Instructional Resource--Strategy Pack--The Slope of a Line Instructional Resource | Strategy Pack | The Slope of a Line

Learn different strategies for finding the slope of a line. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems.

—PRESS PREVIEW TO LAUNCH THE PRESENTATION— To see the complete collection of Instructional Resources, click on this link.

Note: The download is a PPT file.

Slope
INSTRUCTIONAL RESOURCE: Math Examples--Equations of Parallel and Perpendicular Lines INSTRUCTIONAL RESOURCE: Math Examples 12 INSTRUCTIONAL RESOURCE: Math Examples--Equations of Parallel and Perpendicular Lines

The complete set of 32 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.

Applications of Linear Functions and Graphs of Linear Functions
INSTRUCTIONAL RESOURCE: Math Examples--Multiplying Fractions INSTRUCTIONAL RESOURCE: Math Examples 32 INSTRUCTIONAL RESOURCE: Math Examples--Multiplying Fractions

This set of tutorials provides 15 examples of how to multiply fractions.

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.

Fractions and Mixed Numbers
INSTRUCTIONAL RESOURCE: Math Examples--Subtracting Decimals INSTRUCTIONAL RESOURCE: Math Examples 53 INSTRUCTIONAL RESOURCE: Math Examples--Subtracting Decimals

This set of tutorials provides 8 examples of how to subtract decimals.

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.

Add and Subtract Decimals
MATH EXAMPLES--Adding Decimals INSTRUCTIONAL RESOURCE: Math Examples 60 MATH EXAMPLES--Adding Decimals

This set of tutorials provides 12 examples of adding decimals. NOTE: The download is a PPT file.

Add and Subtract Decimals
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 1 INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 1

In this Slide Show, the Graph Window is used to calculate the slope of the line between two points.

Slope
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 2 INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 2

In this Slide Show, the Graph Window is used to construct two points and a linked formula to calculate the slope. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Slope
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 3 INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Slope Formula 3

In this Slide Show, a Slope Formula template is created using the Spreadsheet window. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT.

Slope
INSTRUCTIONAL RESOURCE: TI-Nspire CX Activity: The Slope Formula INSTRUCTIONAL RESOURCE: TI-Nspire CX Activity: The Slope Formula

In this Slide Show, learn how to use the TI-Nspire CX to calculate slope. Note: The download is a PPT file.

Slope
INSTRUCTIONAL RESOURCE: Tutorial: Using the Slope Formula INSTRUCTIONAL RESOURCE: Tutorial: Using the Slope Formula INSTRUCTIONAL RESOURCE: Tutorial: Using the Slope Formula

In this Slide Show, learn how to use the slope formula.

This is part of a collection of tutorials on 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.

Slope
Interactive Crossword Puzzle--Slope Intercept Form Interactive Crossword Puzzle--Slope Intercept Form Interactive Crossword Puzzle--Slope Intercept Form

This interactive crossword puzzle tests knowledge of key terms on the topic of the slope intercept form.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Slope-Intercept Form
Interactive Math Game--DragNDrop Math--Arithmetic--Place Value, Counting by Tenths Interactive Math Game--DragNDrop--Place Value: Counting by Tenths Interactive Math Game--DragNDrop Math--Arithmetic--Place Value: Counting by Tenths

In this drag-and-drop game, have students practice their place value skills to count by tenths. This game generates thousands of different combinations, offering an ideal opportunity for skill review in a game format.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Counting
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 01 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 01 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 01

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 02 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 02 The Hundredths Place

A Brief Review of Place Value

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 03 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 03 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 03

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 04 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 04 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 04

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 05 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 05 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 05

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 06 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 06 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 06

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 07 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 07 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 07

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 08 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 08 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 08

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 09 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 09 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 09

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 10 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 10 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 10

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 11 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 11 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 11

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 12 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 12 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 12

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 13 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 13 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 13

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 14 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 14 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 14

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping), Image 15 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 15 Math Clip Art--Adding Decimals to the Hundredths Place (With Regrouping) 15

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping), Image 01 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 01 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 01

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping), Image 02 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 02 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 02

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping), Image 03 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 03 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 03

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping), Image 04 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 04 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 04

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping), Image 05 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 05 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 05

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping), Image 06 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 06 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 06

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping), Image 07 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 07 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 07

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping), Image 08 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 08 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 08

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping), Image 09 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 09 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 09

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping), Image 10 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 10 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 10

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping), Image 11 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 11 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 11

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value
Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping), Image 12 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 12 Math Clip Art--Adding Decimals to the Tenths Place (With Regrouping) 12

This collection of clip art images includes sequences that show how to add decimals. Included are adding decimals to the tenths and hundredths, with and without regrouping. Use these images to create an instructional sequence.

Add and Subtract Decimals and Place Value