Illustrative Math Alignment: Grade 7 Unit 4

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 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.

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 part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

Topic

Ratios and Rates

Description

This math example focuses on understanding ratios using colored socks. The image displays a collection of red and blue socks, and students are asked to determine the ratio of red socks to blue socks. The solution demonstrates that there are 4 pairs of red socks and 4 pairs of blue socks, resulting in a ratio of 4 : 4, which simplifies to 1 : 1.

Topic

Ratios and Rates

Description

This example focuses on finding equivalent ratios using a collection of socks in various colors. The image shows socks arranged in rows, with black, green, white, and other colors present. Students are asked to find a ratio among three colors that is equivalent to 1 : 3 : 1.

Topic

Ratios and Rates

Description

This example focuses on finding equivalent ratios using a collection of socks in various colors. The image shows socks arranged in rows, with black, green, white, and other colors present. Students are asked to find a ratio among three colors that is equivalent to 1 : 4 : 1.

Topic

Ratios and Rates

Description

This example explores the concept of similar triangles using ratios. The image shows a right triangle with sides labeled as 9, 12, and 15 units. Students are asked to determine if this triangle is similar to a standard 3-4-5 Pythagorean triplet triangle.

Understanding similar triangles is an important application of ratios in geometry. This example demonstrates how ratios can be used to compare the sides of triangles and determine similarity. By scaling the sides of a known triangle (3-4-5) and comparing them to the given triangle, students can see how ratios maintain proportionality in similar shapes.

Topic

Ratios and Rates

Description

This example focuses on verifying the similarity of triangles using ratios. The image shows a right triangle with sides labeled 25, 60, and 65 units. Students are guided through a step-by-step process to determine if this triangle is similar to a 5-12-13 right triangle.

Topic

Ratios and Rates

Description

This example explores the concept of special right triangles using ratios. The image shows a right triangle with sides labeled 3, 3 2 2 ​ , and 6 units. Students are guided through a step-by-step process to verify if this triangle is similar to a 30°-60°-90° triangle.

Topic

Ratios and Rates

Topic

Ratios and Rates

Description

This example focuses on converting units of speed and calculating rates. The image shows a car and calculations for converting speed from miles per hour to feet per second, given the distance traveled in miles and time in minutes.

Understanding unit conversions and rate calculations is crucial in many real-world applications, particularly in physics and engineering. This example demonstrates how to use ratios to convert between different units of speed, showcasing the practical application of mathematical concepts in everyday scenarios.

Topic

Ratios and Rates

Description

This example explores the concept of unit rates using the cost of gasoline. The image shows a red gasoline container, and students are asked to calculate the cost per gallon of gas given the total cost and volume.

Understanding unit rates is a fundamental skill in mathematics with numerous real-world applications. This example demonstrates how to calculate a unit rate by dividing the total cost by the total quantity, illustrating the practical use of division in everyday scenarios like purchasing gasoline.

Topic

Ratios and Rates

Description

This example focuses on calculating unit rates in a restaurant context. The image shows a hamburger, and students are asked to determine the cost per pound of ground beef given the total cost and weight purchased.

Understanding unit rates is essential in various real-world scenarios, particularly in business and economics. This example illustrates how to calculate a unit rate by dividing the total cost by the total quantity, demonstrating the practical application of division in a restaurant supply context.

Topic

Ratios and Rates

Description

This example explores the concept of flow rates using a backyard pool scenario. The image shows a backyard pool, and students are asked to calculate the rate of water flow in gallons per minute given the pool's capacity and the time taken to fill it.

Understanding flow rates is important in various fields, including engineering and physics. This example demonstrates how to calculate a rate by dividing the total volume by the total time, illustrating the practical application of division in real-world scenarios involving fluid dynamics.

Topic

Ratios and Rates

Description

This example explores ratios using purple and black socks. The image shows a collection of socks, and students are asked to determine the ratio of purple socks to black socks. The solution reveals that there is 1 pair of purple socks and 2 pairs of black socks, resulting in a ratio of 1 : 2, which is already in its simplest form.

Topic

Ratios and Rates

Description

This example focuses on unit conversion using the height of the Statue of Liberty. The image shows the Statue of Liberty, and students are asked to convert its height from feet to inches.

Understanding unit conversions is crucial in many fields, including science, engineering, and everyday life. This example demonstrates how to use a conversion factor to change units, illustrating the practical application of multiplication in real-world measurement scenarios.

Topic

Ratios and Rates

Description

This example focuses on unit conversion, specifically converting the height of the Statue of Liberty from feet to yards. The image shows the iconic Statue of Liberty, providing a real-world context for the mathematical problem.

Understanding unit conversions is crucial in many fields, including engineering, science, and everyday life. This example demonstrates how to use a conversion factor to change units, illustrating the practical application of division and multiplication in real-world measurement scenarios.