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Preview Warm Up California Standards Lesson Presentation

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Warm Up Simplify. 4 16 1 4 9 16 9 16 1. 2. 6 8 3. 3 4 14 16 4. 7 8

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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

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**Objective: You will learn how to identify and compare customary units of measurement.**

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

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**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.

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Check It Out! Example 2 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.

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**Length Weight Capacity**

12 inches (in.)= 1 foot (ft) 3 feet = 1 yard (yd) 5,280 feet = 1 mile (mi) Weight 16 ounces (oz) = 1 pound (lb) 2000 pounds = 1 ton Capacity 8 fluid ounces (fl oz) = 1 cup (c) 2 cups = 1 pint (pt) 2 pints = 1 quart (qt) 4 quarts = 1 gallon (gal)

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**Example 3: Converting Customary Units**

Convert 5,000 pounds to tons. Method 1: Use a Proportion. Write a proportion using a ratio of equivalent measures. pounds tons 2,000 1 5,000 m x = 2,000 • x = 1 • 5,000 2,000x = 5,000 x = 2.5 5,000 pounds is equal to 2.5 tons.

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Example 3 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.

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Check It Out! Example 4 Convert 24 pints to cups. Method 1: Use a Proportion. Write a proportion using a ratio of equivalent measures. cups pints 2 1 c 24 = 1 • c = 2 • 24 c = 48 24 pints is equal to 48 cups.

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**Check It Out! Example 4 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.

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**Example 5: 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. miles kilometers x 10 Write a proportion using mile 1.6 kilometers. = 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.

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Check It Out! Example 6 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. cups fluid ounces 1 8 x 35 Write a proportion using cup = 8 fluid ounces. = 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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Home Learning

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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

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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

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