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Preview. Warm Up. California Standards. Lesson Presentation. 9 16. 14 16. 6 8. 3. 4. Warm Up Simplify. 4 16. 1 4. 9 16. 1. 2. 7 8. 3 4. California Standards. AF2.1 Convert one unit of measurement to another (e.g., from feet to miles, from centimeters to inches).
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Preview Warm Up California Standards Lesson Presentation
9 16 14 16 6 8 3. 4. Warm Up Simplify. 4 16 1 4 9 16 1. 2. 7 8 3 4
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.
Additional 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.
Check It Out! Example 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.
Additional 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.
Additional 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.
Check It Out! Example 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.
Check It Out! Example 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.
Additional 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.
Check It Out! Example 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.
Lesson Quiz: Part I Choose the most appropriate customary unit for each measurement. Justify your answer. 1. the capacity of a bathtub 2. the weight of a calculator 3. the length of an indoor sports arena gallons; similar to the capacity of several large milk jugs ounces; similar to the weight of several slices of bread too small to measure in miles, so it should be measured in feet
Lesson Quiz: Part II 4. Convert 13 gallons to quarts. 5. One ounce is about 28.3 grams. A box of cereal has a mass of 400 grams. What is the weight of the box in ounces? Round to the nearest tenth of an ounce. 52 14.1 oz