Math Example: Percents with Double Number Lines: Example 11

Topic

Ratios, Proportions, Percents

Description

This example demonstrates how to determine what percent one number is of another using a double number line. The image shows two parallel number lines: one ranging from 0 to 100% and another from 0 to 75, with 25 marked as an intermediate point. This visual representation helps students understand the relationship between the part (25) and the whole (75) 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.

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.

Teacher Script: "Let's examine this example where we need to find what percent 25 is of 75. Look at our double number line. We've marked 25 on the number line that goes up to 75. Now, let's see where this point aligns on our percentage line. Can you see that it's at the 33 1/3% mark? This visual representation helps us understand that 25 is one-third of 75, which is equivalent to 33 1/3%. As we work through more examples, you'll see how this method can help us solve different types of percentage problems easily and visually."

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