📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- A proportion is an equation that shows two ratios are equal.
- Equivalent ratios can be created by multiplying or dividing both parts of a ratio by the same number.
- Cross products can be used to solve a proportion when one value is unknown.
- After multiplying diagonally, solve the resulting equation using inverse operations.
- Always check that the final value makes the two ratios equivalent.
✏️ Worked Examples
🧠 Math Vocabulary
- Ratio: a comparison of two quantities.
- Proportion: an equation that shows two ratios are equivalent.
- Equivalent Ratios: ratios that have the same value.
- Cross Products: the products found by multiplying diagonally in a proportion.
- Variable: a letter that represents an unknown value.
💡 Main Idea
To solve a proportion, you can multiply diagonally to create two cross products. Once the cross products are equal, solve the equation to find the missing value.
📚 What You Should Already Know
Before solving proportions, students should understand how to multiply, divide, simplify fractions, and recognize equivalent ratios.
🚀 What Comes Next
After learning how to solve proportions, students can apply proportional reasoning to scale drawings, percent problems, unit rates, similar figures, and real-world ratio problems.
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