Math Example: Ratios with Double Number Lines: Example 6

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.

By using a different three-part ratio and starting with a non-primary ingredient, this example challenges students to think flexibly about ratios and their applications. It demonstrates how double number lines can be used effectively even when the given information doesn't align with the first part of the ratio, reinforcing the versatility of this problem-solving tool.

Providing multiple worked-out examples is essential for students to develop a comprehensive understanding of ratios and double number lines. Each new example builds upon previous knowledge while introducing new variations, helping students to see patterns and relationships across different scenarios. This approach enhances their ability to apply the concept in various situations and improves their critical thinking skills.

Teacher Script: "Now we have a juice mixture with a 3:2:2 ratio of orange, lemon, and raspberry. If we have 6 cups of lemon juice, how can we use our double number line to figure out how much orange and raspberry juice we need? Notice how we start with the lemon juice amount this time. Can you explain why the orange juice line increases by 3s while the lemon/raspberry line increases by 2s? How does this help us solve the problem efficiently?"

For a complete collection of math examples related to Ratios click on this link: Math Examples: Double Number Lines Collection.