📚 Topic Summary
A proportion is an equation stating that two ratios are equal. Ratios compare two quantities. When writing proportions, it's super important to make sure you're comparing the same things in the same order. Solving proportions often involves finding a missing value. A common method is cross-multiplication: If $\frac{a}{b} = \frac{c}{d}$, then $ad = bc$.
Let's say you're baking a cake. The recipe calls for 2 eggs for every 1 cup of flour. If you want to use 3 cups of flour, how many eggs do you need? This can be solved using a proportion!
🔤 Part A: Vocabulary
Match the following terms with their definitions:
| Term |
Definition |
| 1. Ratio |
A. A statement that two ratios are equal. |
| 2. Proportion |
B. To find an unknown value in a proportion. |
| 3. Cross-Multiplication |
C. A comparison of two quantities. |
| 4. Solve |
D. Multiplying the numerator of one ratio by the denominator of the other ratio and setting them equal. |
| 5. Equivalent Ratios |
E. Ratios that express the same relationship. |
✍️ Part B: Fill in the Blanks
Complete the following paragraph with the correct words.
A _______ is a statement that two _______ are equal. When setting up a _______, it's important to compare like quantities. To _______ a proportion, you can use _______, multiplying the numerator of one ratio by the denominator of the other. If the cross products are equal, the ratios are proportional.
🤔 Part C: Critical Thinking
Explain, in your own words, why it's important to ensure that the units are consistent when setting up a proportion to solve a real-world problem. Give an example.