Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Topic |
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Interactive Quiz: Solving Proportions for d, Quiz 08, Level 1 | Interactive Quiz: Solving Proportions for d, Quiz 08, Level 1
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 08, Level 1 | Interactive Quiz: Solving Proportions for d, Quiz 08, Level 1
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 08, Level 2 | Interactive Quiz: Solving Proportions for d, Quiz 08, Level 2
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 08, Level 2 | Interactive Quiz: Solving Proportions for d, Quiz 08, Level 2
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 08, Level 2 | Interactive Quiz: Solving Proportions for d, Quiz 08, Level 2
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 08, Level 2 | Interactive Quiz: Solving Proportions for d, Quiz 08, Level 2
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 08, Level 3 | Interactive Quiz: Solving Proportions for d, Quiz 08, Level 3
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 08, Level 3 | Interactive Quiz: Solving Proportions for d, Quiz 08, Level 3
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 08, Level 3 | Interactive Quiz: Solving Proportions for d, Quiz 08, Level 3
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 08, Level 3 | Interactive Quiz: Solving Proportions for d, Quiz 08, Level 3
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 1 | Interactive Quiz: Solving Proportions for d, Quiz 09, Level 1
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 1 | Interactive Quiz: Solving Proportions for d, Quiz 09, Level 1
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 1 | Interactive Quiz: Solving Proportions for d, Quiz 09, Level 1
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 1 | Interactive Quiz: Solving Proportions for d, Quiz 09, Level 1
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 2 | Interactive Quiz: Solving Proportions for d, Quiz 09, Level 2
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 2 | Interactive Quiz: Solving Proportions for d, Quiz 09, Level 2
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 2 | Interactive Quiz: Solving Proportions for d, Quiz 09, Level 2
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 2 | Interactive Quiz: Solving Proportions for d, Quiz 09, Level 2
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 3 | Interactive Quiz: Solving Proportions for d, Quiz 09, Level 3
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 3 | Interactive Quiz: Solving Proportions for d, Quiz 09, Level 3
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 3 | Interactive Quiz: Solving Proportions for d, Quiz 09, Level 3
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 09, Level 3 | Interactive Quiz: Solving Proportions for d, Quiz 09, Level 3
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 1 | Interactive Quiz: Solving Proportions for d, Quiz 10, Level 1
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 1 | Interactive Quiz: Solving Proportions for d, Quiz 10, Level 1
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 1 | Interactive Quiz: Solving Proportions for d, Quiz 10, Level 1
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 1 | Interactive Quiz: Solving Proportions for d, Quiz 10, Level 1
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 2 | Interactive Quiz: Solving Proportions for d, Quiz 10, Level 2
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 2 | Interactive Quiz: Solving Proportions for d, Quiz 10, Level 2
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 2 | Interactive Quiz: Solving Proportions for d, Quiz 10, Level 2
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 2 | Interactive Quiz: Solving Proportions for d, Quiz 10, Level 2
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 3 | Interactive Quiz: Solving Proportions for d, Quiz 10, Level 3
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 3 | Interactive Quiz: Solving Proportions for d, Quiz 10, Level 3
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 3 | Interactive Quiz: Solving Proportions for d, Quiz 10, Level 3
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Interactive Quiz: Solving Proportions for d, Quiz 10, Level 3 | Interactive Quiz: Solving Proportions for d, Quiz 10, Level 3
This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions | |
Math Clip Art--Linear Functions Concepts--Using the Slope Formula 1 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 1TopicLinear Functions DescriptionThis 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 1 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 1TopicLinear Functions DescriptionThis 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 2 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 2TopicLinear Functions DescriptionThis 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 2 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 2TopicLinear Functions DescriptionThis 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 3 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 3TopicLinear Functions DescriptionThis 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 3 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 3TopicLinear Functions DescriptionThis 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 4 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 4TopicLinear Functions DescriptionThis 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 4 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 4TopicLinear Functions DescriptionThis 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 5 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 5TopicLinear Functions DescriptionThis 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 5 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 5TopicLinear Functions DescriptionThis 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 6 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 6TopicLinear Functions DescriptionThis 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--Linear Functions Concepts--Using the Slope Formula 6 | Math Clip Art--Linear Functions Concepts--Using the Slope Formula 6TopicLinear Functions DescriptionThis 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: 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: 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: 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 |