Math Example: Percents with Double Number Lines: Example 15

Topic

Ratios, Proportions, Percents

Description

This example demonstrates how to determine what percent one number is of another using a double number line, particularly when dealing with more complex ratios. The image shows two parallel number lines: one ranging from 0 to 100% and another from 0 to 856, with 107 marked at an eighth of the way. This visual representation helps students understand the relationship between the part (107) and the whole (856) in percentage terms.

Double number lines are powerful tools for teaching percentages as they provide a clear visual representation of the relationship between percentages and their corresponding numerical values. This collection of examples covers various scenarios, including finding what percent one number is of another, which is crucial for developing a comprehensive understanding of percentages, especially when dealing with less obvious ratios.

Presenting multiple worked-out examples is essential for students to fully grasp the concept of percentages using double number lines. Each example builds upon the previous one, gradually increasing in complexity and addressing different types of percentage problems. This approach allows students to recognize patterns, develop problem-solving strategies, and gain confidence in applying the double number line method to various percentage calculations, even those involving more complex ratios.

Teacher Script: "Let's examine this final example where we need to find what percent 107 is of 856. Look at our double number line. We've marked 107 on the number line that goes up to 856. Now, let's see where this point aligns on our percentage line. Can you see that it's at the 12.5% mark? This visual representation helps us understand that 107 is one-eighth of 856, which is equivalent to 12.5%. This example demonstrates how the double number line method can help us solve percentage problems even when the numbers don't have an obvious relationship, making complex calculations more accessible and visual."

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