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5-6 Customary Measurements Warm Up Problem of the Day

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Presentation on theme: "5-6 Customary Measurements Warm Up Problem of the Day"— Presentation transcript:

1 5-6 Customary Measurements Warm Up Problem of the Day
Course 1 Warm Up Problem of the Day Lesson Presentation

2 5-6 Customary Measurements Warm Up Simplify. 4 16 1. 1 4 9 16 2. 9 16
Course 1 5-6 Customary Measurements Warm Up Simplify. 4 16 1. 1 4 9 16 2. 9 16 6 8 3. 3 4 14 16 4. 7 8

3 5-6 Customary Measurements Problem of the Day
Course 1 5-6 Customary Measurements 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

4 5-6 Learn to identify and convert customary units of measure.
Course 1 5-6 Customary Measurements Learn to identify and convert customary units of measure.

5 5-6 Customary Measurements
Course 2 5-6 Customary Measurements You can use the following benchmarks to help you understand fluid ounces, tons, and other customary units of measure Customary Unit Length Inch (in.) Length of a small paper clip Foot (ft) Length of a standard sheet of paper Mile (mi) Length of about 18 football fields Weight Ounce (oz) Weight of a slice of bread Pound (lb) Weight of 3 apples Ton Weight of a buffalo Capacity Fluid Ounce (fl oz) Amount of water in 2 tablespoons Cup © Capacity of a standard measuring cup Gallon (gal) Capacity of a large milk jug

6 Additional Example 1: Choosing the Appropriate Customary Unit
Course 1 5-6 Customary Measurements 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.

7 5-6 Customary Measurements Check It Out: Example 1
Course 1 5-6 Customary Measurements 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.

8 5-6 Customary Measurements Length 12 inches (in)= 1 foot (ft)
Course 1 5-6 Customary Measurements Length 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)

9 Additional Example 2A: Converting Customary Units
Course 1 5-6 Customary Measurements Additional Example 2A: 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 = Using Proportions 2,000 • x = 1 • 5,000 2000x = 5,000 x = 2.5 5,000 pounds is equal to 2.5 tons.

10 Additional Example 2B: Converting Customary Units
Course 1 5-6 Customary Measurements Additional Example 2B: Converting Customary Units Convert 5,000 pounds to tons. Method 2: Multiply by 1 Multiply by a ratio equal to 1, and cancel the units. 5,000 p m 1 1 ton t 2,000 p 5,000 p =  Multiplying by 1 is the same as dividing by the number of pounds in 1 ton. 1 ton t 2,000 = 5,000  = 2.5 tons 5,000 pounds is equal to 2.5 tons.

11 5-6 Customary Measurements Check It Out: Example 2A
Course 1 5-6 Customary Measurements Check It Out: Example 2A 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 = You have to know how many cups there are in 1 pint 1 • c = 2 • 24 c = 48 24 pints is equal to 48 cups.

12 5-6 Customary Measurements Check It Out: Example 2B
Course 1 5-6 Customary Measurements Check It Out: Example 2B 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 =  This is actually multiplying by 1 because 1 pint has 2 cups in it. Multiplying by 2c over 1pt is the same as multiplying by 1 because 1 pint has 2 cups in it. 2 c 1 = 24  = 48 cups 24 pints is equal to 48 cups.

13 Additional Example 3: Adding or Subtracting Mixed Units of Measure
Course 1 5-6 Customary Measurements 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 .25 Write a proportion using 16 oz = 1 lb. = x = 4 oz Allison’s sandwich weighs more because Dominic’s sandwich is only 4 oz.

14 5-6 Customary Measurements Check It Out: Example 3
Course 1 5-6 Customary Measurements 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.

15 Insert Lesson Title Here
Course 1 5-6 Customary Measurements Insert Lesson Title Here 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

16 Insert Lesson Title Here
Course 1 5-6 Customary Measurements Insert Lesson Title Here 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


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