5-6 customary measurements course 1 warm up warm up lesson presentation lesson presentation problem...
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5-6 Customary Measurements
Course 1
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
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
Course 1
5-6 Customary Measurements
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
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
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 cartons; The weight of a car is similar to the weight of a buffalo.
inches; The diameter of a soup can is similar to the length of a few paper clips.
Course 1
5-6 Customary Measurements
pounds; The weight of a newborn baby is similar to the weight of more than a dozen apples.
B. the diameter of a soap can
C. the weight of a newborn baby
Check It Out: Example 1
Choose the most appropriate customary unit for each measurement. Justify your answer.
A. the length of a pen topinch; The length of a pen top is similar to the length of a small paper clip.
pounds; The weight of a pitcher of juice is similar to the weight of about 10 apples.
Course 1
5-6 Customary Measurements
cups; The capacity of a jar of peanut butter is similar to the capacity of 2 standard measuring cups.
B. the weight of a pitcher of juice
C. the capacity of a jar of peanut butter
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)
Course 1
5-6 Customary Measurements
Additional Example 2A: Converting Customary Units
Convert 5,000 pounds to tons.
Method 1: Use a Proportion
= pounds tons
2,000 1
Write a proportion using a ratio of equivalent measures.
2,000 • x = 1 • 5,000
2000x = 5,000
Course 1
5-6 Customary Measurements
5,000 m x
x = 2.5
5,000 pounds is equal to 2.5 tons.
Method 2: Multiply by 1
= 5,000
5,000 p = 5,000 p m 1
Multiply by a ratio equal to 1, and cancel the units.
Course 1
5-6 Customary Measurements
Additional Example 2B: Converting Customary Units
Convert 5,000 pounds to tons.
1 ton t 2,000 p
1 ton t 2,000
= 2.5 tons
5,000 pounds is equal to 2.5 tons.
Check It Out: Example 2A
Convert 24 pints to cups.
Method 1: Use a Proportion
= cups pints
2 1
Write a proportion using a ratio of equivalent measures.
1 • c = 2 • 24
c = 48
Course 1
5-6 Customary Measurements
c 24
24 pints is equal to 48 cups.
Method 2: Multiply by 1
= 24
24 pt = 24 pt m1
Multiply by a ratio equal to 1, and cancel the units.
Course 1
5-6 Customary Measurements
Check It Out: Example 2B
Convert 24 pints to cups.
2 ct 1 pt
2 c 1
= 48 cups
24 pints is equal to 48 cups.
This is actually multiplying by 1 because 1 pint has 2 cups in it.
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.
= ounces
pounds
16 1
First convert a quarter-pound to ounces.
x = 4 oz
Course 1
5-6 Customary Measurements
x .25
Write a proportion using 16 oz = 1 lb.
Allison’s sandwich weighs more because Dominic’s sandwich is only 4 oz.
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.
= ounces
pounds
16 1
First convert 7 pounds to ounces.
x = 112 oz + 8 oz
Course 1
5-6 Customary Measurements
x 7
Write a proportion using 16 oz = 1 lb.
Fergie’s bag of nails weigh more because Tedd’s bag only weighs 120 oz.
x = 120 oz
Lesson Quiz: Part IChoose 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
Insert Lesson Title Here
too small to measure in miles, so it should be measured in feet
Course 1
5-6 Customary Measurements
ounces; similar to the weight of several slices of bread
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