Illustrative Math Alignment: Grade 6 Unit 9

Topic

Ratios

Description

This example demonstrates the use of double number lines to solve a ratio problem involving orange and lemon juice. The juice mixture uses a ratio of 2 parts orange juice to 1 part lemon juice. Given 6 cups of orange juice, students are asked to determine the amount of lemon juice needed. The solution involves aligning the double number lines at the amount of orange juice and reading the corresponding amount of lemon juice, which is 3 cups.

Topic

Ratios

Description

This example builds upon the previous one, using the same ratio of 2 parts orange juice to 1 part lemon juice. However, in this case, students are given 4 cups of lemon juice and asked to determine the amount of orange juice needed. The solution involves aligning the double number lines at the amount of lemon juice and reading the corresponding amount of orange juice, which is 8 cups.

Topic

Ratios

Description

This example introduces a new ratio of 3 parts orange juice to 1 part lime juice. Students are given 9 cups of orange juice and asked to determine the amount of lime juice needed. The solution involves using a double number line to align at the amount of orange juice and find the corresponding amount of lime juice, which is 3 cups.

Topic

Ratios

Description

This example introduces a more complex ratio of 3 parts orange juice to 2 parts lime juice. Students are given 4 cups of lime juice and asked to determine the amount of orange juice needed. The solution involves using a double number line to align at the amount of lime juice and find the corresponding amount of orange juice, which is 6 cups.

Topic

Ratios

Description

This example introduces a three-part ratio of 2:1:1 for orange, lemon, and raspberry juice. Given 4 cups of orange juice, students need to determine the amounts of lemon and raspberry juice required. The solution shows that 2 cups each of lemon and raspberry juice are needed to maintain the ratio.

Topic

Ratios

Description

This example presents a three-part ratio of 3:2:2 for orange, lemon, and raspberry juice. Given 6 cups of lemon juice, students need to determine the amounts of orange and raspberry juice required. The solution shows that 9 cups of orange juice and 6 cups of raspberry juice are needed to maintain the ratio.

This is part of a series of math examples that show how to solve ratio problems involving double number lines.

Note: The download is a PNG file.

Topic

Ratios

Description

This example presents a three-part ratio of 4:3:2 for orange, lemon, and lime juice. Given 4 cups of lime juice, students need to determine the amounts of orange and lemon juice required. The solution shows that 8 cups of orange juice and 6 cups of lemon juice are needed to maintain the ratio.

Topic

Ratios

Description

This example features a three-part ratio of 5:2:1 for orange, lemon, and lime juice. Given 6 cups of lemon juice, students need to determine the amounts of orange and lime juice required. The solution demonstrates that 15 cups of orange juice and 3 cups of lime juice are needed to maintain the ratio.

Topic

Ratios

Description

This example introduces a four-part ratio of 5:2:1:1 for orange, lemon, lime, and strawberry juice. Given 10 cups of orange juice, students need to determine the amounts of lemon, lime, and strawberry juice required. The solution shows that 4 cups of lemon juice and 2 cups each of lime and strawberry juice are needed to maintain the ratio.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of gear ratios.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of gear ratios.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of gear ratios.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of gear ratios.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of gear ratios.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of gear ratios.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of gear ratios.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of gear ratios.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of gear ratios.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of gear ratios.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of gear ratios.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of gear ratios.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

This is a collection of clip art images that show an application of ratios and proportional reasoning in the context of chemical mixtures.

Topic

Ratios

Description

This math clip art image visually represents a 3:2 ratio using measuring cups filled with milk and oil. It shows three full cups of milk alongside two full cups of oil, illustrating that this ratio is four times the original recipe. This concrete representation helps students understand how equivalent ratios work in real-world contexts, particularly in cooking scenarios.

Topic

Ratios

Description

This math clip art image serves as a title card for a series on equivalent ratios in cooking. It features a decorative design with the title "Equivalent Recipes" along with illustrations of flour and various kitchen utensils. This visual introduction is crucial for setting the context and engaging students in the upcoming lesson on ratios in a practical, real-world scenario.

Topic

Ratios

Description

This math clip art image shows an illustration of two measuring cups: one containing 3/4 cup of milk and another with 1/2 cup of oil. This visual representation is crucial for introducing the concept of ratios in a practical, cooking-related context.

The image effectively demonstrates how ratios can be represented using real-world measurements. By showing two different ingredients in specific quantities, it helps students visualize the concept of comparing two quantities. This concrete representation can make the abstract concept of ratios more tangible and easier to understand.

Topic

Ratios

Description

This math clip art image presents a table of equivalent ratios for milk and oil, multiplying both quantities by 2, 3, and 4. This visual representation is essential for teaching the concept of equivalent ratios and scaling recipes.

Topic

Ratios

Description

This math clip art image illustrates the process of simplifying ratios in a cooking context. It shows the steps to simplify the original ratio of milk to oil from 3/4 : 1/2 to 3 : 2 by multiplying both terms by 4. This visual representation helps students understand how equivalent ratios work and how they can be simplified to their most basic form.

Topic

Ratios

Description

This math clip art presents a ratio table with illustrations of measuring cups containing milk and oil, displaying whole number ratios. The image effectively demonstrates how whole number ratios are scaled-up versions of the original recipe, making it easier for students to visualize and understand the concept of equivalent ratios in a practical context.