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๐ Topic Summary
A proportion is a statement that two ratios are equal. Ratios compare two quantities. Understanding proportions helps us solve problems where quantities change at the same rate. Think of it like scaling up or down a recipe โ keeping the ratios the same ensures the taste remains consistent! Proportions are used everywhere from cooking to map reading to calculating discounts. They are a fundamental part of math that helps us understand relationships between numbers.
๐ค Part A: Vocabulary
Match the following terms with their correct definitions:
- Ratio
- Proportion
- Cross Product
- Equivalent Ratios
- Unit Rate
Definitions:
- The rate for one unit of a given quantity.
- A comparison of two quantities by division.
- Ratios that have the same value.
- The result of multiplying the numerator of one fraction by the denominator of another fraction, and vice versa.
- A statement that two ratios are equal.
Match the numbers to the definitions. For example: 1 - (Definition Letter)
โ๏ธ Part B: Fill in the Blanks
Complete the following sentences using the words provided:
(equal, ratios, proportion, cross products, equivalent)
- A ______ is a statement that two ______ are ______.
- When two ratios form a ______, their ______ are ______.
- ______ ratios simplify to the same value.
๐ค Part C: Critical Thinking
Explain, in your own words, how you can determine if two ratios form a proportion. Give a real-world example of when you might use proportions.
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