Math Example: Percents with Double Number Lines: Example 8

Topic

Ratios, Proportions, Percents

Description

This example demonstrates how to find an unknown value using a double number line when given a part and its corresponding percentage, involving a fractional percentage. The image shows two parallel number lines: one ranging from 0 to 100% and another from 0 to an unknown value x. It visually illustrates the process of determining x when 125 is 33 1/3% of x.

Double number lines are valuable tools for teaching percentages as they offer a visual representation of the relationship between percentages and their corresponding numerical values. This collection of examples covers various scenarios, including finding the whole when given a part and a fractional percentage.

Presenting multiple worked-out examples is crucial 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 fractions.

Teacher Script: "Let's look at this interesting example where we need to find the whole when given a part and a fractional percentage. We're told that 125 is 33 1/3% of some number. Using our double number line, we can visually represent this problem. Notice how 125 aligns with 33 1/3% on our percentage line. This helps us see that 125 is one-third of our unknown number. If 125 is one-third, what's the whole number? That's right, it's 375. This visual method helps us understand the relationship between percentages, including fractional percentages, and the numbers they represent."

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