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How to Teach Ratio & Proportion
Ratio describes the relationship between two quantities. Proportion is an equality between two ratios.
1Why is it important?
Ratio is needed in recipes (doubling quantities), maps (scale), and science. It's preparation for algebra.
2How to teach?
- Start with concrete examples: 'For every 2 apples there are 3 bananas'
- Explain that an equal ratio is maintained when multiplying or dividing both sides
- Practice finding the missing term in a proportion
- Show the cross-multiplication method
3Detailed examples
2:3 = 6:?9
Explanation: From 2 to 6 we multiplied by 3. So 3 also needs to be multiplied by 3: 3×3=9.
4:5 = ?:1512
Explanation: From 5 to 15 we multiplied by 3. So 4 also needs to be multiplied by 3: 4×3=12.
4Common mistakes
- Adding instead of multiplying
- Forgetting to do the same operation to both sides
- Errors in identifying which number changed
5Tips for parents
- Practice with recipes: 'If we need 2 eggs for 4 people, how many for 8?'
- Use cards or objects to demonstrate ratios
- Emphasize that the ratio stays constant!
Ready to practice?
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