Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topic |
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Definition--Slope Concepts--Slope-Intercept Form | Slope-Intercept FormTopicSlope DefinitionThe 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. DescriptionThe 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 | Slopes of Parallel LinesTopicSlope DefinitionParallel lines are lines in the same plane that never meet; they have equal slopes. DescriptionUnderstanding 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 | Slopes of Perpendicular LinesTopicSlope DefinitionPerpendicular lines intersect at a right angle, and their slopes are negative reciprocals of each other. DescriptionThe 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 | SteepnessTopicSlope DefinitionSteepness is a measure of how steep a line is, typically calculated as the absolute value of the slope. DescriptionSteepness 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 | The Rise Over the RunTopicSlope DefinitionThe rise over the run describes the change in y over the change in x in a linear relationship. DescriptionThe 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 | Undefined SlopeTopicSlope DefinitionUndefined slope occurs when a vertical line is present, meaning there is no change in x. DescriptionAn 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 | Zero SlopeTopicSlope DefinitionZero slope describes a horizontal line where there is no change in y as x changes. DescriptionA 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: 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: 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: 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
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 | |
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 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 ResourcesTo see the complete library of Instructional Resources , click on this link. |
Applications of Linear Functions and Graphs of Linear Functions | |
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 ResourcesTo see the complete library of Instructional Resources , click on this link. |
Fractions and Mixed Numbers | |
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 ResourcesTo see the complete library of Instructional Resources , click on this link. |
Add and Subtract 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 | 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 | 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 | 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 | 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
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 ResourcesTo see the complete library of Instructional Resources , click on this link. |
Slope | |
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 ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Slope-Intercept Form | |
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 ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Counting | |
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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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) 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 |