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Proportions

Proportions. Converting Metric Units Using Proportions. Vocabulary. Proportion: a balanced equation that shows the relationship among various quantities. Fractions with equal cross products. Helpful hints to convert with proportions . Same labels go on the same line

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Proportions

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  1. Proportions Converting Metric Units Using Proportions

  2. Vocabulary • Proportion: a balanced equation that shows the relationship among various quantities. • Fractions with equal cross products

  3. Helpful hints to convert with proportions • Same labels go on the same line • One side contains the conversion key • Other side contains information from the problem From key From problem 1 gram = 3 grams 1,000 mg x mg

  4. Guided Practice Conversion Key: 1 gram = 1,000 milligrams 1 kilogram = 1,000 grams 1. I bought 5,300,000 milligrams beef for a big family dinner. How many grams of beef do we have? From key From problem Proportion: = Cross products: TIP: when dividing by a power of 10 (like 1,000), you can move decimal to left. 1 gram 1,000 mg x gram 5,300,000 mg

  5. 2 – step Check • CHECK WITH THE PREFIX LINE (milligrams to grams) K – H – D – U – D – C - M 5,300,000 • CHECK FOR REASONABLENESS Small to large unit = smaller answer

  6. Guided Practice Conversion Key: 1 meter = 1,000 millimeters 1 kilometer = 1,000 meters 2. A common competitive race is the 5K which is a distance of 5 kilometers. How many meters long is the race? From key From problem Proportion: = Cross products: TIP: when multiplying by a power of 10 (like 1,000), you can move decimal to right. 1 km 1,000 m 5 km x m

  7. 2 – step Check • CHECK WITH THE PREFIX LINE (kilometers to meters) K – H – D – U – D – C - M 5 • CHECK FOR REASONABLENESS Large to small unit = larger answer

  8. Independent Practice • Set up and solve a proportion (circle answer) • Check with prefix line (KHDUDCM) • Check for reasonableness (brief statement)

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