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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Relationships

Lesson 9: Slopes Don't Have to be Positive

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
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
Math Clip Art--Linear Functions Concepts--Using the Slope Formula, Image 1 Math Clip Art--Linear Functions Concepts--Using the Slope Formula 1 Math Clip Art--Linear Functions Concepts--Using the Slope Formula 1

Topic

Linear Functions

Description

This image is the first in a series of 6 clip art images that show step by step how to use the slope formula. It serves as an introduction, with the title "Introduction" and includes the text "In this presentation, we walk you through the steps of using the Slope Formula." The image features a linear graph with two generic points highlighted and the slope formula displayed.

Slope and Ratios and Rates
Math Clip Art--Linear Functions Concepts--Using the Slope Formula, Image 2 Math Clip Art--Linear Functions Concepts--Using the Slope Formula 2 Math Clip Art--Linear Functions Concepts--Using the Slope Formula 2

Topic

Linear Functions

Description

This image is a continuation of the previous one, focusing on Step 1 of using the slope formula: "Identify the Coordinates." The example in this series of images deals with coordinates (3, 4) and (-5, -4), demonstrating how to select two points on a line to calculate its slope.

Teachers can guide students through this step by saying: "The first step in using the slope formula is to identify two points on our line. In this example, we're using the points (3, 4) and (-5, -4). Can you locate these points on the graph? Why do you think it's important to choose two different points?"

Slope and Ratios and Rates
Math Clip Art--Linear Functions Concepts--Using the Slope Formula, Image 3 Math Clip Art--Linear Functions Concepts--Using the Slope Formula 3 Math Clip Art--Linear Functions Concepts--Using the Slope Formula 3

Topic

Linear Functions

Description

This image continues the series, focusing on Step 2 of using the slope formula: "Match Coordinates to Formula." It demonstrates how to correctly assign the chosen coordinates to the variables in the slope formula.

Slope and Ratios and Rates
Math Clip Art--Linear Functions Concepts--Using the Slope Formula, Image 4 Math Clip Art--Linear Functions Concepts--Using the Slope Formula 4 Math Clip Art--Linear Functions Concepts--Using the Slope Formula 4

Topic

Linear Functions

Description

This image focuses on Step 3 of using the slope formula: "Assign Values to Formula." It shows how to substitute the actual coordinate values into the slope formula, preparing for the calculation of the slope.

Slope and Ratios and Rates
Math Clip Art--Linear Functions Concepts--Using the Slope Formula, Image 5 Math Clip Art--Linear Functions Concepts--Using the Slope Formula 5 Math Clip Art--Linear Functions Concepts--Using the Slope Formula 5

Topic

Linear Functions

Description

This image continues the series, focusing on Step 4 of using the slope formula: "Assign Values to Formula." It completes the assignment of coordinate values in the slope formula. In this case we deal with x2 and y2.

Teachers can walk students through this step by saying: "Now we complete the assignment of coordinate values into the slope formula. In this case we deal with x2 and y2. Do you see how those coordinates are highlighted in the formula?"

Slope and Ratios and Rates
Math Clip Art--Linear Functions Concepts--Using the Slope Formula, Image 6 Math Clip Art--Linear Functions Concepts--Using the Slope Formula 6 Math Clip Art--Linear Functions Concepts--Using the Slope Formula 6

Topic

Linear Functions

Description

This final image in the series focuses on Step 5 of using the slope formula: "Simplify." It shows how to express the calculated slope in its simplest form, if necessary.

Teachers can conclude the lesson with this step by saying: "Our last step is to simplify our result if possible. Sometimes, our slope might be a fraction that can be reduced. Other times, it might already be in its simplest form. Why is it important to express our slope in the simplest possible way? How does this final step help us interpret what the slope means in the context of our line?"

Slope and Ratios and Rates
Math Clip Art: Images of Staircases

Use this selection of images to show steepness of stairs as a way of introducing the concept of slope.

Slope
Math Clip Art Math Clip Art: Slope vs. Rate Math Clip Art: Slope vs. Rate

In these clip art images, show students the difference between ratios and rates. These images are useful when talking about slope as both a ratio and a rate. In particular, this is useful when talking about slope as a rate of change.

Slope and Ratios and Rates
Math Clip Art Math Clip Art: Slopes of Lines Math Clip Art: Slopes of Lines

Have students compare the slopes of the pairs of lines from these clip art images. Have them use the background grid for measuring the rise and the run.

Slope
Staircase Clip Art Math Clip Art: Staircase Steepness

In this set of clip art images, different values for the rise and run are given, but in all cases they result in the same slope for the staircase. These images help advance the idea that slope is a ratio and proportion.

Slope
Math Clip Art: Types of Slope Math Clip Art: Types of Slope

Math Clip Art: Types of Slope

Use these clip art images to show the different types of slope available. These slope types are covered:

Positive SlopeNegative SlopeZero SlopeNo SlopeSlope = 1Slope =-10 < Slope < 1Slope > 1
Slope
Math Example--Charts, Graphs, and Plots-- Estimating the Line of Best Fit: Example 5 Math Example--Charts, Graphs, and Plots--Estimating the Line of Best Fit: Example 5 Math Example--Charts, Graphs, and Plots-- Estimating the Line of Best Fit: Example 5

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

Point-Slope Form, Slope-Intercept Form and Data Analysis
Math Example--Charts, Graphs, and Plots-- Estimating the Line of Best Fit: Example 5 Math Example--Charts, Graphs, and Plots--Estimating the Line of Best Fit: Example 5 Math Example--Charts, Graphs, and Plots-- Estimating the Line of Best Fit: Example 5

In this set of math examples, analyze the behavior of different scatterplots. This includes linear and quadratic models.

Point-Slope Form, Slope-Intercept Form and Data Analysis
Math Example--Coordinate Geometry--Slope Formula: Example 1 Math Example--Coordinate Geometry--Slope Formula: Example 1 Math Example--Coordinate Geometry--Slope Formula: Example 1

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 1 Math Example--Coordinate Geometry--Slope Formula: Example 1 Math Example--Coordinate Geometry--Slope Formula: Example 1

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 10 Math Example--Coordinate Geometry--Slope Formula: Example 10 Math Example--Coordinate Geometry--Slope Formula: Example 10

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 10 Math Example--Coordinate Geometry--Slope Formula: Example 10 Math Example--Coordinate Geometry--Slope Formula: Example 10

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 11 Math Example--Coordinate Geometry--Slope Formula: Example 11 Math Example--Coordinate Geometry--Slope Formula: Example 11

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 11 Math Example--Coordinate Geometry--Slope Formula: Example 11 Math Example--Coordinate Geometry--Slope Formula: Example 11

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 12 Math Example--Coordinate Geometry--Slope Formula: Example 12 Math Example--Coordinate Geometry--Slope Formula: Example 12

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 12 Math Example--Coordinate Geometry--Slope Formula: Example 12 Math Example--Coordinate Geometry--Slope Formula: Example 12

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 13 Math Example--Coordinate Geometry--Slope Formula: Example 13 Math Example--Coordinate Geometry--Slope Formula: Example 13

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 13 Math Example--Coordinate Geometry--Slope Formula: Example 13 Math Example--Coordinate Geometry--Slope Formula: Example 13

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 14 Math Example--Coordinate Geometry--Slope Formula: Example 14 Math Example--Coordinate Geometry--Slope Formula: Example 14

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 14 Math Example--Coordinate Geometry--Slope Formula: Example 14 Math Example--Coordinate Geometry--Slope Formula: Example 14

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 15 Math Example--Coordinate Geometry--Slope Formula: Example 15 Math Example--Coordinate Geometry--Slope Formula: Example 15

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 15 Math Example--Coordinate Geometry--Slope Formula: Example 15 Math Example--Coordinate Geometry--Slope Formula: Example 15

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 16 Math Example--Coordinate Geometry--Slope Formula: Example 16 Math Example--Coordinate Geometry--Slope Formula: Example 16

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 16 Math Example--Coordinate Geometry--Slope Formula: Example 16 Math Example--Coordinate Geometry--Slope Formula: Example 16

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 17 Math Example--Coordinate Geometry--Slope Formula: Example 17 Math Example--Coordinate Geometry--Slope Formula: Example 17

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 17 Math Example--Coordinate Geometry--Slope Formula: Example 17 Math Example--Coordinate Geometry--Slope Formula: Example 17

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 18 Math Example--Coordinate Geometry--Slope Formula: Example 18 Math Example--Coordinate Geometry--Slope Formula: Example 18

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 18 Math Example--Coordinate Geometry--Slope Formula: Example 18 Math Example--Coordinate Geometry--Slope Formula: Example 18

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 19 Math Example--Coordinate Geometry--Slope Formula: Example 19 Math Example--Coordinate Geometry--Slope Formula: Example 19

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 19 Math Example--Coordinate Geometry--Slope Formula: Example 19 Math Example--Coordinate Geometry--Slope Formula: Example 19

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 2 Math Example--Coordinate Geometry--Slope Formula: Example 2 Math Example--Coordinate Geometry--Slope Formula: Example 2

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 2 Math Example--Coordinate Geometry--Slope Formula: Example 2 Math Example--Coordinate Geometry--Slope Formula: Example 2

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 20 Math Example--Coordinate Geometry--Slope Formula: Example 20 Math Example--Coordinate Geometry--Slope Formula: Example 20

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 20 Math Example--Coordinate Geometry--Slope Formula: Example 20 Math Example--Coordinate Geometry--Slope Formula: Example 20

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 21 Math Example--Coordinate Geometry--Slope Formula: Example 21 Math Example--Coordinate Geometry--Slope Formula: Example 21

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 21 Math Example--Coordinate Geometry--Slope Formula: Example 21 Math Example--Coordinate Geometry--Slope Formula: Example 21

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 3 Math Example--Coordinate Geometry--Slope Formula: Example 3 Math Example--Coordinate Geometry--Slope Formula: Example 3

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 3 Math Example--Coordinate Geometry--Slope Formula: Example 3 Math Example--Coordinate Geometry--Slope Formula: Example 3

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 4 Math Example--Coordinate Geometry--Slope Formula: Example 4 Math Example--Coordinate Geometry--Slope Formula: Example 4

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 4 Math Example--Coordinate Geometry--Slope Formula: Example 4 Math Example--Coordinate Geometry--Slope Formula: Example 4

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 5 Math Example--Coordinate Geometry--Slope Formula: Example 5 Math Example--Coordinate Geometry--Slope Formula: Example 5

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 5 Math Example--Coordinate Geometry--Slope Formula: Example 5 Math Example--Coordinate Geometry--Slope Formula: Example 5

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope
Math Example--Coordinate Geometry--Slope Formula: Example 6 Math Example--Coordinate Geometry--Slope Formula: Example 6 Math Example--Coordinate Geometry--Slope Formula: Example 6

This is part of a collection of math examples that focus on coordinate geometry. This includes using coordinates to find the slope, midpoint, and distance.

Slope