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Rates and Unit Rates with Proportional Reasoning

Learn about rates, unit rates, and how to determine better buys using proportional reasoning with various examples and calculations.

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Rates and Unit Rates with Proportional Reasoning

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  1. Rates and Unit Rates with Proportional Reasoning

  2. Rate – is a ratio that compares two quantities measured in DIFFERENT UNITS • 50 minutes & 2 miles • 450 miles &15 gallons • 120 words & 5 minutes • 50 yards & 42 seconds • 50 minutes/2mile • 450 miles/15gallon • 120 words/5minute • 50 yards/42 secs

  3. Unit rate - is a rate that has a denominator of 1 340 miles - 20 gallons $350 – 35 hrs 1,500 miles – 25 hrs $210 – 50 ounces 17 miles/gal $10 /hr 60 miles/hr $4.20 / oz

  4. Determine The Better Buy • Juice 18 oz for $1.26 8 oz for $.70 • Cloth 2 yd for $3.15 6 yd for $7.78 • Juice 1.26/18= $.07 per oz .70/8 = $.0875 per oz • Cloth 3.15 / 2 = $1.575 per yd 7.78 / 6 = $1.296 per yd

  5. Determine The Better Buy • Socks 2 pair for $2.99 6 pair for $9.97 • Cereal 10.2 oz for $5.98 16 oz for $9.95 • Socks 2.99/2 =$1.49 per pair 9.97 / 6 =$1.67 per pair • Cereal 5.98 / 10.2 =$.58 per oz 9.95 /16 = $.62 per oz

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