Customary Units of Weight

Transcription

Customary Units of Weight
Name
15.3
?
Customary Units of Weight
Essential Question
Geometry and
Measurement—4.8.A,
4.8.B
Also 4.8.C
MATHEMATICAL PROCESSES
4.1.D, 4.1.F, 4.1.G
How can you convert customary units of weight?
Unlock
Unlock the
the Problem
Problem
Ounces and pounds are customary units of weight. How does
the size of a pound compare to the size of an ounce?
Activity
Materials ■ color pencils
The number line below shows the relationship between
pounds and ounces.
Pounds
0
1
Ounces
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
STEP 1 Use a color pencil to shade 1 pound on the number line.
STEP 2 Use a different color pencil to shade 1 ounce on the
number line.
STEP 3 Compare the size of 1 pound to the size of 1 ounce.
▲ You can use a spring
scale to measure weight.
You need _ ounces to make _ pound.
So, 1 pound is _ times as heavy as 1 ounce.
Math Talk
Mathematical Processes
• Explain how the number line helped you to compare the
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sizes of the units.
Which is greater,
9 pounds or 9 ounces?
Explain.
Module 15
531
Example 1 Convert larger units to smaller units.
Nancy needs 5 pounds of flour to bake pies for a festival.
How many ounces of flour does Nancy need to bake the pies?
STEP 1 Make a table that relates pounds and ounces.
Pounds
Ounces
1
16
Think:
1 pound × 16 = 16 ounces
2 pounds × 16 = __
2
3 pounds × _ = __
3
4 pounds × _ = __
4
5 pounds × _ = __
5
So, Nancy needs _ ounces of flour.
Example 2 Convert smaller units to larger units.
Marcel buys 144 ounces of sugar at the grocery store. How many
pounds of sugar did Marcel buy?
Ounces
Pounds
80
5
80 ounces ÷ 16 = 5 pounds
96
96 ounces ÷ 16 = __
112
112 ounces ÷ 16 = __
128
128 ounces ÷ _ = __
144
144 ounces ÷ _ = __
Try This! There are 2,000 pounds in 1 ton.
Tons
Pounds
1
2,000
Make a table that relates tons and pounds.
2
1 ton is __ times as heavy as 1 pound.
532
3
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So, Marcel bought _ pounds of sugar.
Name
Share
Share and
and Show
Show
1. 4 tons = __ pounds
Customary Units of Weight
Think: 4 tons × __ = ___
1 pound (lb) = 16 ounces (oz)
1 ton (T) = 2,000 pounds
Complete.
2. 5 tons = __ pounds
3. 6 pounds = __ ounces
4. 48 ounces = __ pounds
5. 128 ounces = __ pounds
Problem
Problem Solving
Solving
6. A landscaping company ordered 8 tons of gravel. They sell the
gravel in 50 pound bags. How many pounds of gravel did the
company order?
7.
Math Talk
Mathematical Processes
What equation can you
use to solve Exercise 3?
Explain.
Communicate If you could draw a number line
that shows the relationship between tons and pounds, what
would it look like? Explain.
Write Math
Show Your Work
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8.
Multi-Step Keith bought 4 steaks from the store.
One steak was 14 ounces, one steak was 12 ounces, one steak
was 8 ounces and the last steak was 14 ounces. How many
pounds of steak did Keith buy from the grocery store? Explain.
Module 15 • Lesson 3
533
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble completely to show your answer.
9. Jill needs 4 pounds of peanut butter to make peanut butter and
jelly sandwiches for a party. She buys peanut butter in jars. The
weight of peanut butter in jars is given in ounces. How many
ounces of peanut butter does Jill need to make the sandwiches?
A
4 ounces
B
16 ounces
C
8 ounces
D
64 ounces
10. The vet tells Jan that her puppy weighs 5 pounds. The scale shows
the puppy’s weight in ounces. What weight does the scale show?
A
5 ounces
C
16 ounces
B
80 ounces
D
60 ounces
11. Multi-Step A truck is transporting 4 new cars to a car dealership.
Each car weighs 2 tons. The weight limit for trucks going over
bridges is given in pounds. What is the weight of the cars in
pounds?
A
16 pounds
C
16,000 pounds
B
8,000 pounds
D
24,000 pounds
TEXAS Test Prep
12. Mike is recording his baby sister’s weight in pounds and ounces
534
A
160 ounces
B
10 ounces
C
20 ounces
D
16 ounces
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each week. This week she weighs 10 pounds. How many ounces
does she weigh?
H o mewo rk
and Practice
15.3
Geometry and Measurement—4.8.A,
4.8.B Also 4.8.C
MATHEMATICAL PROCESSES 4.1.D, 4.1.F, 4.1.G
Name
Customary Units of Weight
Complete.
1. 48 ounces = __ pounds
Customary Units of Weight
2. 3 tons = __ pounds
1 pound (lb) = 16 ounces (oz)
1 ton (T) = 2,000 pounds
3. 7 pounds = __ ounces
4. 10,000 pounds = __ tons
5. 7 tons = __ pounds
6. 96 ounces = __ pounds
7. 64 ounces = __ pounds
8. 8 pounds = __ ounces
Problem
Problem Solving
Solving
9. Nathan has a truck that can carry 2 tons.
How many pounds can the truck carry?
10. Julia bought 40 bags of compost. Each bag
weighed 50 pounds. How many tons of
compost did she buy?
11. Paul bought 3 packages of cheese. The packages weighed 11 ounces,
13 ounces, and 8 ounces. How many pounds of cheese did Paul buy?
Explain.
12. Carole needs 4 pounds of nuts for her granola. She has 26 ounces
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of walnuts and 28 ounces of cashews. How many ounces of peanuts
should she buy so she has 4 pounds of nuts? Explain.
Module 15 • Lesson 3 535
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
20 pound bag of potatoes?
A
40,000 ounces
B
3,200 ounces
C
320 ounces
D
2,000 ounces
15. At the farmer’s market, a bunch of
of pea gravel. How many pounds of pea
gravel do they order?
A
6,000 pounds
B
24,000 pounds
C
192 pounds
D
32,000 pounds
16. Which statement about 36 ounces and
bananas weighs 96 ounces. The price
for the bananas is based on the weight
in pounds. How many pounds does the
bunch of bananas weigh?
2 pounds is true?
A
A
36 ounces > 2 pounds
B
2 pounds = 36 ounces
6 pounds
C
36 ounces < 2 pounds
B
12 pounds
D
2 pounds > 36 ounces
C
1,536 pounds
D
96 pounds
17. Multi-Step Elizabeth has 4 jars of olives.
536
14. A construction company orders 12 tons
18. Multi-Step Kevin picked 10 pounds of
Each jar contains 12 ounces of olives. How
many pounds of olives does Elizabeth
have?
strawberries. He wants to freeze them in
8-ounce packages. How many 8-ounce
packages of strawberries can Kevin make?
A
48 pounds
A
16
B
4 pounds
B
32
C
3 pounds
C
80
D
12 pounds
D
20
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13. How many ounces of potatoes are in a