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California Standards

California Standards. AF2.1 Convert one unit of measurement to another (e.g., from feet to miles, from centimeters to inches). Also covered: NS1.3. You can use the following benchmarks to help you understand fluid ounces, tons, and other customary units of measure.

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California Standards

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  1. California Standards AF2.1 Convert one unit of measurement to another (e.g., from feet to miles, from centimeters to inches). Also covered: NS1.3

  2. You can use the following benchmarks to help you understand fluid ounces, tons, and other customary units of measure.

  3. Teacher Example 1: Choosing the Appropriate Customary Unit Choose the most appropriate customary unit for each measurement. Justify your answer. A. the weight of a car tons; The weight of a car is similar to the weight of a buffalo. B. the diameter of a soap can inches; The diameter of a soup can is similar to the length of a few paper clips. C. the weight of a newborn baby pounds; The weight of a newborn baby is similar to the weight of more than a dozen apples.

  4. Student Practice 1: Choose the most appropriate customary unit for each measurement. Justify your answer. A. the length of a pen top inch; The length of a pen top is similar to the length of a small paper clip. B. the weight of a pitcher of juice pounds; The weight of a pitcher of juice is similar to the weight of about 10 apples. C. the capacity of a jar of peanut butter cups; The capacity of a jar of peanut butter is similar to the capacity of 2 standard measuring cups.

  5. Teacher Example 2: Converting Customary Units Convert 5,000 pounds to tons. Method 1: Use a Proportion. Write a proportion using a ratio of equivalent measures. 5,000mx pounds tons 2,0001 = 2,000 •x = 1 • 5,000 2,000x = 5,000 x = 2.5 5,000 pounds is equal to 2.5 tons.

  6. Teacher Example 2: Continued Convert 5,000 pounds to tons. Method 2: Multiply by 1. Multiply by a ratio equal to 1, and cancel the units. 5,000 lb m 1 1 ton t 2,000 lb 5,000 lb = 1 ton t 2,000 = 5,000  = 2.5 tons 5,000 pounds is equal to 2.5 tons.

  7. Student Practice 2: Convert 24 pints to cups. Method 1: Use a Proportion. Write a proportion using a ratio of equivalent measures. c 24 cups pints 21 = 1 •c = 2 • 24 c = 48 24 pints is equal to 48 cups.

  8. Student Practice 2: Continued Convert 24 pints to cups. Method 2: Multiply by 1. Multiply by a ratio equal to 1, and cancel the units. 24 pt m1 2 ct 1 pt 24 pt =  2 c 1 = 24  = 48 cups 24 pints is equal to 48 cups.

  9. Teacher Example 3: Converting Between Metric and Customary Units One mile is about 1.6 kilometers. What is the length in miles of a 10 kilometer race? Round to the nearest tenth of a mile. Write a proportion using 1 mile  1.6 kilometers. miles kilometers 11.6 x 10 = 1.6 · x = 1 · 10 The cross products are equal. 1.6x = 10 Multiply. 1.6x 1.6 10 1.6 = Divide each side by 1.6. x  6.3 Round to the nearest whole number. The length of a 10 kilometer race is about 6.3 miles long.

  10. Student Practice 3: One cup is about 8 fluid ounces. What is the amount in cups of a 35 fluid ounce container? Round to the nearest tenth of a cup. Write a proportion using 1 cup = 8 fluid ounces. cups fluid ounces 18 x 35 = 8 · x = 1 · 35 The cross products are equal. 8x = 35 Multiply. 8x 8 35 8 = Divide each side by 8. x  4.4 Round to the nearest whole number. The amount of a 35 fluid ounce container is about 4.4 cups.

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