Math Example: Percents with Double Number Lines: Example 3

Topic

Ratios, Proportions, Percents

Description

This example demonstrates how to find 33 1/3% of 240 using a double number line. The solution displays two parallel number lines: one ranging from 0 to 100% and the other from 0 to 240. By aligning 33 1/3% on the percentage line with its corresponding value on the numerical line, we can see that 33 1/3% of 240 is 80. This method visually represents the concept that 33 1/3% is equivalent to one-third of a quantity.

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 percentages of numbers, determining what number a given percentage represents, and calculating what percentage one number is of another.

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.

Teacher Script: "Let's examine our third example using double number lines to solve percentage problems. We want to find 33 1/3% of 240. Notice how we've drawn two parallel lines again - one for percentages and one for the actual numbers. Can you see how 33 1/3% lines up with 80 on the number line? This visual representation helps us understand that 33 1/3% is one-third of the total, so one-third of 240 is 80. As we progress through more examples, you'll see how this method can help us solve different types of percentage problems, even with fractions, 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.