Illustrative Math Alignment: Grade 6 Unit 3

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

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.

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.

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.

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.