Math Example: Ratios with Double Number Lines: Example 3

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.

By introducing a new ratio and a different fruit juice combination, this example expands students' understanding of how ratios can be applied in various contexts. It reinforces the concept that double number lines can be used for any ratio, not just the previously seen 2:1 ratio. This variety helps students generalize the concept and apply it more broadly.

Presenting multiple worked-out examples is crucial for students to fully grasp the versatility of double number lines in solving ratio problems. Each new example builds upon previous knowledge while introducing slight variations, helping students develop a more nuanced understanding of the topic and improve their problem-solving skills.

Teacher Script: "Let's look at a different juice mixture. This time we have 3 parts orange juice for every 1 part lime juice. If we have 9 cups of orange juice, how can we use our double number line to figure out how much lime juice we need? Notice how the intervals on our number lines have changed to reflect the new ratio. Can you see how this helps us solve the problem, even though the ratio is different from our previous examples?"

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