📚 Topic Summary
Ratios are used to compare two quantities. They can be written in several ways, such as $a:b$, $a$ to $b$, or $\frac{a}{b}$. Equivalent ratios are ratios that represent the same comparison. For example, $1:2$ and $2:4$ are equivalent ratios because $\frac{1}{2} = \frac{2}{4}$.
To find equivalent ratios, you can multiply or divide both parts of the ratio by the same non-zero number. Understanding ratios and equivalent ratios is crucial for solving problems involving proportions and scaling. This worksheet will help you master these essential concepts!
🔤 Part A: Vocabulary
Match the terms with their definitions:
| Term |
Definition |
| 1. Ratio |
A. Ratios that represent the same comparison. |
| 2. Proportion |
B. A statement that two ratios are equal. |
| 3. Equivalent Ratios |
C. A comparison of two quantities. |
| 4. Rate |
D. A ratio that compares two quantities with different units. |
| 5. Unit Rate |
E. A rate with a denominator of 1. |
Match the number to the correct letter.
✍️ Part B: Fill in the Blanks
Complete the following paragraph using the words provided:
(equivalent, ratio, compare, quantities, proportion)
A _______ is used to _______ two _______. When two ratios are _______, they are called ________ ratios. A statement showing that two ratios are equal is called a _________.
🤔 Part C: Critical Thinking
Explain, in your own words, how you can determine if two ratios are equivalent. Provide an example.