Warm Up

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Warm Up
Problem of the Day
Lesson Presentation
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Warm Up Simplify.
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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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Learn to identify and convert customary units of
measure.
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You can use the following benchmarks to help you
understand fluid ounces, tons, and other
customary units of measure
Customary Unit Customary Unit Customary Unit
Length Inch (in.) Length of a small paper clip
Length Foot (ft) Length of a standard sheet of paper
Length Mile (mi) Length of about 18 football fields
Weight Ounce (oz) Weight of a slice of bread
Weight Pound (lb) Weight of 3 apples
Weight Ton Weight of a buffalo
Capacity Fluid Ounce (fl oz) Amount of water in 2 tablespoons
Capacity Cup Capacity of a standard measuring cup
Capacity Gallon (gal) Capacity of a large milk jug
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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 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 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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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)
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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
5,000 m x
2,000 1

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 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 ?
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 2A Convert 24 pints to cups.
Method 1 Use a Proportion
Write a proportion using a ratio of equivalent
measures.
cups pints
c 24
2 1

1 c 2 24
c 48
24 pints is equal to 48 cups.
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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 ?
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.
Write a proportion using 16 oz 1 lb.
ounces pounds
x .25
16 1

x 4 oz
Allisons sandwich weighs more because Dominics
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.
x 7
Write a proportion using 16 oz 1 lb.
ounces pounds
16 1

x 112 oz 8 oz
x 120 oz
Fergies bag of nails weigh more because Tedds
bag only weighs 120 oz.
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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
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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?
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