Illustrative Math Alignment: Grade 7 Unit 9

Topic

Ratios, Proportions, and Percents

Definition

Visualizing ratios involves using diagrams or models to represent and understand the relationship between two quantities.

Description

Visualizing ratios is essential in various fields, such as mathematics, science, and economics, where understanding the relationship between quantities is crucial. For example, using a bar model or a double number line can help illustrate the ratio of 3:4.

Learn different strategies for finding the percent one number is of another. 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.

Note: The download is a PPT file.

In this Algebra Application, students study the life cycles of 13- and 17-year cicadas, as well as the populations of bird predators. Students develop a mathematical model using spreadsheets and investigate why the prime number life cycles help the cicadas. The math topics covered include: Mathematical modeling, Data gathering and analysis, Percent increase and decrease, Prime numbers and composites. This real world application of math concepts will engage your students.

The complete set of 39 examples that make up this set of tutorials. NOTE: The download is a PPT file.

This is part of a collection of math clip art images that model numbers and expressions using algebra tiles.

This is part of a collection of math clip art images that model numbers and expressions using algebra tiles.

This is part of a collection of math clip art images that model numbers and expressions using algebra tiles.

This is part of a collection of math clip art images that model numbers and expressions using algebra tiles.

This is part of a collection of math clip art images that model numbers and expressions using algebra tiles.

This is part of a collection of math clip art images that model numbers and expressions using algebra tiles.

Topic

Ratios

Description

This math clip art image is a title card for a series of math clip art images that apply equivalent ratios problems. The subsequent images show different vehicle ratios.

This image, along with the overall collection, can be used to teach ratios by comparing the number of cars to other vehicle types or parking spaces. Teachers can use this visual to introduce the concept of part-to-whole ratios, such as the ratio of cars to total vehicles, or part-to-part ratios, like comparing the number of cars to motorcycles or SUVs in subsequent images.

Topic

Ratios

Description

This math clip art image displays a table with two rows labeled "Motorcycles" and "SUVs". The numbers in the table are 1, 2, 3, 4, 5 for Motorcycles and 2, 4, 6, 8, 10 for SUVs. This visual representation is crucial for teaching the concept of equivalent ratios using a different set of vehicles.

This is a collection of clip art images that show equivalent ratios based on numbers of vehicles.

Topic

Ratios

Description

This math clip art image showcases a red car in a parking garage with numbered pillars in the background. The caption "40 Cars" provides context for the ratio concept being illustrated. This image is part of a series designed to teach equivalent ratios using vehicles as a relatable subject matter.

Topic

Ratios

Description

This math clip art image depicts a red motorcycle in a parking garage with numbered pillars in the background. The caption "10 Motorcycles" provides essential information for understanding ratios in the context of vehicles. This image is part of a series designed to teach equivalent ratios using different types of vehicles.

Topic

Ratios

Description

This math clip art image showcases a black SUV in a parking garage with numbered pillars in the background. The caption "20 SUVs" provides crucial information for understanding ratios in the context of different vehicle types. This image is part of a series designed to teach equivalent ratios using various vehicles as relatable examples.

Topic

Ratios

Description

This math clip art image displays a parking garage background with a sign showing the ratio of cars to motorcycles. The ratio is presented as 40:10 and then simplified to 4:1. This visual representation is crucial in teaching the concept of equivalent ratios and ratio simplification.

Topic

Ratios

Description

This math clip art image presents a table showing equivalent ratios of cars to motorcycles. The table displays five pairs of values: 4:1, 8:2, 12:3, 16:4, and 20:5. This visual representation is instrumental in teaching the concept of equivalent ratios and how they scale up while maintaining the same proportional relationship.

Topic

Ratios

Description

This math clip art image presents a graph plotting ratio pairs with cars on the x-axis and motorcycles on the y-axis. The points (4, 1), (8, 2), (12, 3), (16, 4), and (20, 5) are plotted on the coordinate plane. This visual representation is crucial in teaching the concept of equivalent ratios and their graphical interpretation.

Topic

Ratios

Description

This math clip art image presents another graph plotting the same ratio pairs as before, but with a line connecting them to show the linear relationship. This visual representation is crucial for teaching the concept of equivalent ratios and their graphical interpretation in a more comprehensive manner.

Topic

Ratios

Description

This math clip art image presents a table with two rows labeled "SUVs" and "Cars". The numbers in the table are 1, 2, 3, 4, 5 for SUVs and 2, 4, 6, 8, 10 for Cars. This visual representation is essential for teaching the concept of equivalent ratios in a tabular format.

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 visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show visual models for percents.

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.