1. Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes

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

3. 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. Learn to identify and convert customary units of measure.

5. 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

6. 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. 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. Length Weight Capacity
12 inches (in.)= 1 foot (ft)‏
3 feet = 1 yard (yd)‏
5,280 feet = 1 mile (mi)‏
1,760 yards = 1 mile (mi)‏
Length
16 ounces (oz) = 1 pound (lb)
2000 pounds = 1 ton
Weight
8 fluid ounces (fl oz) = 1 cup (c)‏
2 cups = 1 pint (pt)‏
2 pints = 1 quart (qt)‏
4 quarts = 1 gallon (gal)‏
Capacity

9. 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.

10. 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.

11. 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.

12. 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.

13. 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. 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. Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems

16. 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

17. 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

18. 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

19. 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

20. 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

21. Lesson Quiz for Student Response Systems
4. Which of the following represents 17 gallons in quarts?
A. 34
B. 51
C. 68
D. 85

22. Lesson Quiz for Student Response Systems
5. Juan has 5 cups of milk. He adds 16 fluid ounces of water to the milk in order to prepare a recipe. What is the total weight of the mixture before he begins preparing the recipe?
A. 4 cups
B. 5 cups
C. 6 cups
D. 7 cups