Math Example: Percents with Double Number Lines: Example 7

Topic

Ratios, Proportions, Percents

Description

This example illustrates how to determine an unknown value using a double number line when given a part and its corresponding percentage. The image depicts two parallel number lines: one spanning from 0 to 100% and another from 0 to an unknown value x. It visually demonstrates the process of finding x when 120 is 25% of x.

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 the whole when given a part and a percentage.

Offering multiple worked-out examples is essential 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 examine this example where we need to find the whole when given a part and a percentage. We're told that 120 is 25% of some number. Using our double number line, we can visually represent this problem. Notice how 120 aligns with 25% on our percentage line. This helps us see that 120 is one-quarter of our unknown number. If 120 is one-quarter, what's the whole number? That's right, it's 480. This visual method helps us understand the relationship between percentages and the numbers they represent, even when dealing with more complex values."

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