equivalent ratios grade 7 worksheets

📚 Topic Summary

Equivalent ratios are two or more ratios that are equal to each other. This means they represent the same relationship. For example, 1:2 and 2:4 are equivalent ratios because if you multiply both parts of the first ratio by 2, you get the second ratio. Simplifying ratios to their simplest form helps in identifying equivalence.

Understanding equivalent ratios is crucial for scaling recipes, understanding map scales, and solving various real-world problems. With practice, you'll become skilled at recognizing and creating equivalent ratios. Let's work through some problems together!

🗂️ Part A: Vocabulary

Match each term with its definition:

1. Ratio
2. Equivalent Ratios
3. Proportion
4. Simplest Form
5. Scaling

Definitions:

1. A comparison of two quantities.
2. Ratios that represent the same relationship.
3. The process of increasing or decreasing quantities while maintaining the same ratio.
4. A statement that two ratios are equal.
5. The form of a ratio where the numbers have no common factors other than 1.

Match the term number to the definition number that corresponds.

✍️ Part B: Fill in the Blanks

Complete the paragraph using the words provided:

(equivalent, ratio, proportion, simplest, scaling)

A ______ is a comparison of two quantities. ______ ratios represent the same relationship. A ______ is a statement that two ratios are equal. Reducing a ratio to its ______ form makes it easier to compare. ______ is used to increase or decrease quantities while maintaining the same ratio.

🤔 Part C: Critical Thinking

Explain in your own words why understanding equivalent ratios is important in real life. Give at least two examples.