Math Example: Ratios with Double Number Lines: Example 9

Topic

Ratios

Description

This example features a three-part ratio of 5:2:1 for orange, lemon, and lime juice. Given 6 cups of lemon juice, students need to determine the amounts of orange and lime juice required. The solution demonstrates that 15 cups of orange juice and 3 cups of lime juice are needed to maintain the ratio.

By presenting a ratio with a wider range of values between components, this example challenges students to think more critically about proportional relationships. It illustrates how multiple number lines can effectively represent ratios with larger differences between quantities, providing a clear visual tool for solving more complex ratio problems.

Providing multiple worked-out examples is essential for students to develop a comprehensive understanding of ratios and the application of number lines in problem-solving. Each new example introduces additional complexity, helping students to recognize patterns and relationships across various scenarios. This approach enhances their ability to apply ratio concepts in diverse situations and strengthens their analytical skills.

Teacher Script: "Now we have a juice mixture with a 5:2:1 ratio of orange, lemon, and lime. If we have 6 cups of lemon juice, how can we use our multiple number lines to determine the amounts of orange and lime juice needed? Pay attention to how the intervals on each line differ. Can you explain why the orange juice line increases by 5s, the lemon juice by 2s, and the lime juice by 1s? How does this help us solve more complex ratio problems efficiently?"

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