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Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

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

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Problem of the Day The ratio of the length of U.S. paper currency to its width is about 2.4 to 1. If the length of an actual bill is about 6.2 inches, how wide is a bill? Round your answer to the nearest tenth. 2.6 inches

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**Sunshine State Standards**

MA.7.G.4.4 Compare, contrast, and convert units of measure between different measurement systems (US customary or metric (SI)), dimensions, and derived units to solve problems. Rev. MA.5.G.5.2

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You can use the following benchmarks to help you understand fluid ounces, tons, and other customary units of measure. Weight of 3 apples Pound (lb) Weight of a buffalo Ton Amount of water in 2 tablespoons Fluid ounce (fl oz) Capacity Capacity of a standard measuring cup Cup (c) Capacity of a large milk jug Gallon (gal) Weight of a slice of bread Ounce (oz) Weight Length of 4 laps around a track Mile (mi) Length of a standard sheet of paper Foot (ft) Length of a small paper clip Inch (in.) Length Customary Unit

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**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 soup 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 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.

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**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. pounds tons 2,000 1 5, m x = 2,000 • x = 1 • 5,000 2000x = 5,000 x = 2.5 5,000 pounds is equal to 2.5 tons.

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**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.

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Check It Out: Example 2 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 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.

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**Additional Example 3: Adding or Subtracting Mixed Units of Measure**

Allison orders a 6-ounce grilled chicken sandwich. Dominic orders a quarter-pound grilled chicken sandwich. Which sandwich weighs more? Explain. First convert a quarter-pound to ounces. ounces pounds 16 1 x Write a proportion using 16 oz = 1 lb. = x = 4 oz Allison’s sandwich weighs more because Dominic’s sandwich is only 4 oz.

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Check It Out: Example 3 Tedd and Fergie go the hardware store to purchase a bag of nails. Tedd buys a bag of nails that weighs 7 pounds 8 ounces. Fergie buys a bag of nails that weighs 128 ounces. Which bag of nails weighs more? Explain. First convert 7 pounds to ounces. ounces pounds 16 1 x 7 Write a proportion using 16 oz = 1 lb. = x = 112 oz + 8 oz x = 120 oz Fergie’s bag of nails weigh more because Tedd’s bag only weighs 120 oz.

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Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

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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. Seth is returning from a 5-mile hike. He passes a trail sign that says, “3,520 feet to base camp.” How many more miles does Seth have to hike? 52 2 3 mi

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**Lesson Quiz for Student Response Systems**

Choose the most appropriate customary unit for the given measurement. Justify your answer. the capacity of an aquarium A. gallons; similar to the capacity of several large milk jugs B. gallons; similar to the weight of several buffaloes C. fluid ounces; similar to the amount of water in several tablespoons D. fluid ounces; similar to the capacity of several standard measuring cups

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**Lesson Quiz for Student Response Systems**

2. Choose the most appropriate customary unit for the given measurement. Justify your answer. the weight of a can of soup A. ounces; similar to the capacity of several large milk jugs B. inches; similar to the length of several small paper clips C. ounces; similar to the weight of several slices of bread D. inches; similar to the weight of several apples

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**Lesson Quiz for Student Response Systems**

3. Choose the most appropriate customary unit for the given measurement. Justify your answer. the length of a large fish pond A. Too small to measure in miles, so it should be measured in feet B. Too small to measure in feet, so it should be measured in inches C. Too small to measure in miles, so it should be measured in inches D. Too small to measure in feet, so it should be measured in miles

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**Lesson Quiz for Student Response Systems**

4. Which of the following represents 17 gallons in quarts? A. 34 B. 51 C. 68 D. 85

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