Math Example: Percents with Double Number Lines: Example 14

Topic

Ratios, Proportions, Percents

Description

This example illustrates how to calculate what percent one number is of another using a double number line. The image depicts two parallel number lines: one spanning from 0 to 100% and another from 0 to 396, with 198 marked at the midpoint. This visual representation helps students understand the relationship between the part (198) and the whole (396) in percentage terms.

Double number lines are effective 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 a range of scenarios, including finding what percent one number is of another, which is essential for developing a comprehensive understanding of percentages.

Offering multiple worked-out examples is crucial for students to fully comprehend the concept of percentages using double number lines. Each example builds upon the previous one, progressively increasing in complexity and addressing different types of percentage problems. This approach enables students to identify patterns, develop problem-solving strategies, and gain confidence in applying the double number line method to various percentage calculations.

Teacher Script: "Now, let's look at this example where we need to find what percent 198 is of 396. Observe our double number line. We've marked 198 on the number line that goes up to 396. Notice how it's exactly at the midpoint. Now, let's see where this point aligns on our percentage line. Can you see that it's at the 50% mark? This visual representation helps us understand that 198 is half of 396, which is equivalent to 50%. This example shows how the double number line can make even seemingly complex problems more intuitive and easier to solve."

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