Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 5: Introduction to Linear Relationships

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
VideoTutorial--SlopeFormula2.jpg Video Tutorial: Slope Formula, Video 2 Video Tutorial: Slope Formula, Video 2

Topic

Slope

Description

The video covers finding a negative slope in Quadrant I using the slope formula. It defines rise over run and demonstrates calculations using points (7, 3) and (5, 7), resulting in a slope of -2. Important terms include numerator, denominator, and coordinates.

Slope
VideoTutorial--SlopeFormula2.jpg Video Tutorial: Slope Formula, Video 2 Video Tutorial: Slope Formula, Video 2

Topic

Slope

Description

The video covers finding a negative slope in Quadrant I using the slope formula. It defines rise over run and demonstrates calculations using points (7, 3) and (5, 7), resulting in a slope of -2. Important terms include numerator, denominator, and coordinates.

Slope
VideoTutorial--SlopeFormula2.jpg Video Tutorial: Slope Formula, Video 2 Video Tutorial: Slope Formula, Video 2

Topic

Slope

Description

The video covers finding a negative slope in Quadrant I using the slope formula. It defines rise over run and demonstrates calculations using points (7, 3) and (5, 7), resulting in a slope of -2. Important terms include numerator, denominator, and coordinates.

Slope
VideoTutorial--SlopeFormula3.jpg Video Tutorial: Slope Formula, Video 3 Video Tutorial: Slope Formula, Video 3

Topic

Slope

Description

This tutorial focuses on a positive slope in Quadrant II. Key topics include calculating slope as rise over run and using coordinate differences. It provides an example with points (-5, 4) and (-3, 8) resulting in a slope of 2. Vocabulary includes numerator, denominator, and difference.

Slope
VideoTutorial--SlopeFormula3.jpg Video Tutorial: Slope Formula, Video 3 Video Tutorial: Slope Formula, Video 3

Topic

Slope

Description

This tutorial focuses on a positive slope in Quadrant II. Key topics include calculating slope as rise over run and using coordinate differences. It provides an example with points (-5, 4) and (-3, 8) resulting in a slope of 2. Vocabulary includes numerator, denominator, and difference.

Slope
VideoTutorial--SlopeFormula3.jpg Video Tutorial: Slope Formula, Video 3 Video Tutorial: Slope Formula, Video 3

Topic

Slope

Description

This tutorial focuses on a positive slope in Quadrant II. Key topics include calculating slope as rise over run and using coordinate differences. It provides an example with points (-5, 4) and (-3, 8) resulting in a slope of 2. Vocabulary includes numerator, denominator, and difference.

Slope
VideoTutorial--SlopeFormula4.jpg Video Tutorial: Slope Formula, Video 4 Video Tutorial: Slope Formula, Video 4

Topic

Slope

Description

Explains finding a negative slope in Quadrant II using the slope formula. Demonstrates with points (-1, 4) and (-7, 6), resulting in a slope of -1/3. Covers key concepts like rise over run and coordinate differences.

Slope
VideoTutorial--SlopeFormula4.jpg Video Tutorial: Slope Formula, Video 4 Video Tutorial: Slope Formula, Video 4

Topic

Slope

Description

Explains finding a negative slope in Quadrant II using the slope formula. Demonstrates with points (-1, 4) and (-7, 6), resulting in a slope of -1/3. Covers key concepts like rise over run and coordinate differences.

Slope
VideoTutorial--SlopeFormula4.jpg Video Tutorial: Slope Formula, Video 4 Video Tutorial: Slope Formula, Video 4

Topic

Slope

Description

Explains finding a negative slope in Quadrant II using the slope formula. Demonstrates with points (-1, 4) and (-7, 6), resulting in a slope of -1/3. Covers key concepts like rise over run and coordinate differences.

Slope
VideoTutorial--SlopeFormula5.jpg Video Tutorial: Slope Formula, Video 5 Video Tutorial: Slope Formula, Video 5

Topic

Slope

Description

Shows how to calculate a positive slope in Quadrant III using the slope formula. Example uses points (-3, -8) and (-2, -2), with a slope of 6. Concepts include rise over run and simplifying fractions.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Slope
VideoTutorial--SlopeFormula5.jpg Video Tutorial: Slope Formula, Video 5 Video Tutorial: Slope Formula, Video 5

Topic

Slope

Description

Shows how to calculate a positive slope in Quadrant III using the slope formula. Example uses points (-3, -8) and (-2, -2), with a slope of 6. Concepts include rise over run and simplifying fractions.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Slope
VideoTutorial--SlopeFormula5.jpg Video Tutorial: Slope Formula, Video 5 Video Tutorial: Slope Formula, Video 5

Topic

Slope

Description

Shows how to calculate a positive slope in Quadrant III using the slope formula. Example uses points (-3, -8) and (-2, -2), with a slope of 6. Concepts include rise over run and simplifying fractions.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Slope
VideoTutorial--SlopeFormula6.jpg Video Tutorial: Slope Formula, Video 6 Video Tutorial: Slope Formula, Video 6

Topic

Slope

Description

The video discusses finding a negative slope in Quadrant III using the slope formula. Points (-2, -7) and (-6, -5) result in a slope of -1/2. Highlights include simplifying coordinate differences and using the formula.

Slope
VideoTutorial--SlopeFormula6.jpg Video Tutorial: Slope Formula, Video 6 Video Tutorial: Slope Formula, Video 6

Topic

Slope

Description

The video discusses finding a negative slope in Quadrant III using the slope formula. Points (-2, -7) and (-6, -5) result in a slope of -1/2. Highlights include simplifying coordinate differences and using the formula.

Slope
VideoTutorial--SlopeFormula6.jpg Video Tutorial: Slope Formula, Video 6 Video Tutorial: Slope Formula, Video 6

Topic

Slope

Description

The video discusses finding a negative slope in Quadrant III using the slope formula. Points (-2, -7) and (-6, -5) result in a slope of -1/2. Highlights include simplifying coordinate differences and using the formula.

Slope
VideoTutorial--SlopeFormula7.jpg Video Tutorial: Slope Formula, Video 7 Video Tutorial: Slope Formula, Video 7

Topic

Slope

Description

Explains finding a positive slope in Quadrant IV. Demonstrates using points (2, -5) and (4, -1) to calculate a slope of 2. Vocabulary includes rise over run, numerator, and denominator.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Slope
VideoTutorial--SlopeFormula7.jpg Video Tutorial: Slope Formula, Video 7 Video Tutorial: Slope Formula, Video 7

Topic

Slope

Description

Explains finding a positive slope in Quadrant IV. Demonstrates using points (2, -5) and (4, -1) to calculate a slope of 2. Vocabulary includes rise over run, numerator, and denominator.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Slope
VideoTutorial--SlopeFormula7.jpg Video Tutorial: Slope Formula, Video 7 Video Tutorial: Slope Formula, Video 7

Topic

Slope

Description

Explains finding a positive slope in Quadrant IV. Demonstrates using points (2, -5) and (4, -1) to calculate a slope of 2. Vocabulary includes rise over run, numerator, and denominator.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Slope
VideoTutorial--SlopeFormula8.jpg Video Tutorial: Slope Formula, Video 8 Video Tutorial: Slope Formula, Video 8

Topic

Slope

Description

Demonstrates calculating a negative slope in Quadrant IV. Example points are (9, -3) and (3, -1), with a slope of -1/3. Discusses coordinate differences and formula application.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Slope
VideoTutorial--SlopeFormula8.jpg Video Tutorial: Slope Formula, Video 8 Video Tutorial: Slope Formula, Video 8

Topic

Slope

Description

Demonstrates calculating a negative slope in Quadrant IV. Example points are (9, -3) and (3, -1), with a slope of -1/3. Discusses coordinate differences and formula application.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Slope
VideoTutorial--SlopeFormula8.jpg Video Tutorial: Slope Formula, Video 8 Video Tutorial: Slope Formula, Video 8

Topic

Slope

Description

Demonstrates calculating a negative slope in Quadrant IV. Example points are (9, -3) and (3, -1), with a slope of -1/3. Discusses coordinate differences and formula application.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Slope
VideoTutorial--SlopeFormula9.jpg Video Tutorial: Slope Formula, Video 9 Video Tutorial: Slope Formula, Video 9

Topic

Slope

Description

Covers a positive slope with points spanning Quadrants I and II. Example uses (-3, 3) and (3, 6), yielding a slope of 1/2. Discusses rise over run, numerator, and denominator.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Slope
VideoTutorial--SlopeFormula9.jpg Video Tutorial: Slope Formula, Video 9 Video Tutorial: Slope Formula, Video 9

Topic

Slope

Description

Covers a positive slope with points spanning Quadrants I and II. Example uses (-3, 3) and (3, 6), yielding a slope of 1/2. Discusses rise over run, numerator, and denominator.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Slope
VideoTutorial--SlopeFormula9.jpg Video Tutorial: Slope Formula, Video 9 Video Tutorial: Slope Formula, Video 9

Topic

Slope

Description

Covers a positive slope with points spanning Quadrants I and II. Example uses (-3, 3) and (3, 6), yielding a slope of 1/2. Discusses rise over run, numerator, and denominator.

This video illustrates the Slope, highlighting key mathematical concepts. Students will learn about the derivation and application of the slope formula through concrete examples and clear explanations. This lesson offers a foundational understanding crucial for graphing linear equations and interpreting real-world scenarios.

Slope
VideoTutorial--SlopeFormula1.jpg Video Tutorial: Slope Formula, Video 1 Video Tutorial: Slope Formula, Video 1

Topic

Slope

Description

This video explains the slope formula and applies it to find the positive slope of a line where two points are in Quadrant I. Key concepts include rise over run and calculating differences in coordinates. The example uses points (2, 3) and (6, 7) with the slope calculated as 1. Vocabulary includes rise, run, numerator, and denominator.

Slope
VideoTutorial--SlopeFormula1.jpg Video Tutorial: Slope Formula, Video 1 Video Tutorial: Slope Formula, Video 1

Topic

Slope

Description

This video explains the slope formula and applies it to find the positive slope of a line where two points are in Quadrant I. Key concepts include rise over run and calculating differences in coordinates. The example uses points (2, 3) and (6, 7) with the slope calculated as 1. Vocabulary includes rise, run, numerator, and denominator.

Slope
VideoTutorial--SlopeFormula1.jpg Video Tutorial: Slope Formula, Video 1 Video Tutorial: Slope Formula, Video 1

Topic

Slope

Description

This video explains the slope formula and applies it to find the positive slope of a line where two points are in Quadrant I. Key concepts include rise over run and calculating differences in coordinates. The example uses points (2, 3) and (6, 7) with the slope calculated as 1. Vocabulary includes rise, run, numerator, and denominator.

Slope
Video Tutorial: The Point-Slope Form: Example 1 Video Tutorial: The Point-Slope Form: Example 1

This is part of a collection of video tutorials on using the point-slope form to find the equation of a line that passes through a given point. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Point-Slope Form
Video Tutorial: The Point-Slope Form: Example 2 Video Tutorial: The Point-Slope Form: Example 2

This is part of a collection of video tutorials on using the point-slope form to find the equation of a line that passes through a given point. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Point-Slope Form
Video Tutorial: The Point-Slope Form: Example 3 Video Tutorial: The Point-Slope Form: Example 3

This is part of a collection of video tutorials on using the point-slope form to find the equation of a line that passes through a given point. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Point-Slope Form
Video Tutorial: The Point-Slope Form: Example 4 Video Tutorial: The Point-Slope Form: Example 4

This is part of a collection of video tutorials on using the point-slope form to find the equation of a line that passes through a given point. Each video is a step-by-step tutorial.

Note: The download is a PDF template for use in modeling the examples shown in the videos.

Point-Slope Form
Math Videos Video Tutorial: Types of Slope Video Tutorial: Types of Slope

In this video students learn about the different types of slope. This includes positive slope, negative slope, zero slope, and no slope. This video provides visualizations of these types of slopes without relying on the slope formula.

Slope
Math Videos Video Tutorial: Types of Slope Video Tutorial: Types of Slope

In this video students learn about the different types of slope. This includes positive slope, negative slope, zero slope, and no slope. This video provides visualizations of these types of slopes without relying on the slope formula.

Slope
Math Videos Video Tutorial: Types of Slope Video Tutorial: Types of Slope

In this video students learn about the different types of slope. This includes positive slope, negative slope, zero slope, and no slope. This video provides visualizations of these types of slopes without relying on the slope formula.

Slope
Math Videos Video Tutorial: Types of Slope Video Tutorial: Types of Slope

In this video students learn about the different types of slope. This includes positive slope, negative slope, zero slope, and no slope. This video provides visualizations of these types of slopes without relying on the slope formula.

Slope
Math Videos Video Tutorial: Types of Slope Video Tutorial: Types of Slope

In this video students learn about the different types of slope. This includes positive slope, negative slope, zero slope, and no slope. This video provides visualizations of these types of slopes without relying on the slope formula.

Slope
Video Tutorial: Using the Slope Formula: Example 1 Video Tutorial: Using the Slope Formula: Example 1 Video Tutorial: Using the Slope Formula: Example 1

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is positive. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Video Tutorial: Using the Slope Formula: Example 1 Video Tutorial: Using the Slope Formula: Example 1 Video Tutorial: Using the Slope Formula: Example 1

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is positive. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Video Tutorial: Using the Slope Formula: Example 2 Video Tutorial: Using the Slope Formula: Example 2 Video Tutorial: Using the Slope Formula: Example 2

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is positive. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Video Tutorial: Using the Slope Formula: Example 2 Video Tutorial: Using the Slope Formula: Example 2 Video Tutorial: Using the Slope Formula: Example 2

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is positive. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Video Tutorial: Using the Slope Formula: Example 3 Video Tutorial: Using the Slope Formula: Example 3 Video Tutorial: Using the Slope Formula: Example 3

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is zero. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Video Tutorial: Using the Slope Formula: Example 3 Video Tutorial: Using the Slope Formula: Example 3 Video Tutorial: Using the Slope Formula: Example 3

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is zero. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Video Tutorial: Using the Slope Formula: Example 4 Video Tutorial: Using the Slope Formula: Example 4 Video Tutorial: Using the Slope Formula: Example 4

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is negative. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Video Tutorial: Using the Slope Formula: Example 4 Video Tutorial: Using the Slope Formula: Example 4 Video Tutorial: Using the Slope Formula: Example 4

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is negative. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Video Tutorial: Using the Slope Formula: Example 5 Video Tutorial: Using the Slope Formula: Example 5 Video Tutorial: Using the Slope Formula: Example 5

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is undefined. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Video Tutorial: Using the Slope Formula: Example 5 Video Tutorial: Using the Slope Formula: Example 5 Video Tutorial: Using the Slope Formula: Example 5

This video provides a step-by-step tutorial on using the slope formula. In this example the slope is undefined. Note the download is a PDF that can used to demonstrate the step-by-step calculations.

Slope
Math Videos Video Tutorial: Visualizing Slope Video Tutorial: Visualizing Slope

In this video students learn how to calculate the slope of a line, given two coordinates. This is done by measuring the rise and the run and is a precursor to learning to use the slope formula. The video also discusses positive and negative slopes.

Slope
Math Videos Video Tutorial: Visualizing Slope Video Tutorial: Visualizing Slope

In this video students learn how to calculate the slope of a line, given two coordinates. This is done by measuring the rise and the run and is a precursor to learning to use the slope formula. The video also discusses positive and negative slopes.

Slope
VIDEO:  Algebra Applications: Linear Functions, Segment 2: Cycling VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling

Topic

Linear Functions

Description

Applies linear functions to cycling, calculating hill grades and distances using slope formulas and graphing.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Special Functions and Applications of Linear Functions
VIDEO:  Algebra Applications: Linear Functions, Segment 2: Cycling VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling VIDEO: Algebra Applications: Linear Functions, Segment 2: Cycling

Topic

Linear Functions

Description

Applies linear functions to cycling, calculating hill grades and distances using slope formulas and graphing.

Linear functions are fundamental in understanding mathematical relationships between two variables. The video demonstrates their application in real-life scenarios, enhancing comprehension of key concepts like slope, intercepts, and graphical representation. This foundational knowledge prepares students for more advanced mathematical topics.

Special Functions and Applications of Linear Functions