Math Example: Ratios with Double Number Lines: Example 8

Topic

Ratios

Description

This example presents a three-part ratio of 4:3:2 for orange, lemon, and lime juice. Given 4 cups of lime juice, students need to determine the amounts of orange and lemon juice required. The solution shows that 8 cups of orange juice and 6 cups of lemon juice are needed to maintain the ratio.

By introducing a ratio where all three parts are different and starting with the smallest quantity, this example challenges students to think more deeply about the relationships between multiple quantities in a ratio. It demonstrates how multiple number lines can be used to represent each component of the ratio separately, providing a clear visual representation of the proportional relationships.

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

Teacher Script: "Let's examine a juice mixture with a 4:3:2 ratio of orange, lemon, and lime. If we have 4 cups of lime juice, how can we use our multiple number lines to figure out how much orange and lemon juice we need? Notice how we have a separate line for each juice. Can you explain why the orange juice line increases by 4s, the lemon juice by 3s, and the lime juice by 2s? How does this help us solve the problem and understand the relationships between the different juice quantities?"

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