Math Example: Percents with Double Number Lines: Example 4

Topic

Ratios, Proportions, Percents

Description

This example illustrates how to calculate 40% of 105 using a double number line. The solution presents two parallel number lines: one spanning from 0 to 100% and the other from 0 to 105. By aligning 40% on the percentage line with its corresponding value on the numerical line, we can determine that 40% of 105 is 42. This method visually demonstrates that 40% is equivalent to two-fifths of a quantity.

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

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 look at our fourth example using double number lines to solve percentage problems. We want to find 40% of 105. Notice how we've drawn two parallel lines again - one for percentages and one for the actual numbers. Can you see how 40% lines up with 42 on the number line? This visual representation helps us understand that 40% is two-fifths of the total, so two-fifths of 105 is 42. As we continue with more examples, you'll see how this method can help us solve different types of percentage problems efficiently and visually, even when working with numbers that aren't as easily divisible."

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