1. No category

Name
15.5
?
Geometry and
Measurement—4.8.C
Also 4.8.B
MATHEMATICAL PROCESSES
4.1.A, 4.1.C, 4.1.G
Mixed Measures
Essential Question
How can you solve problems involving mixed measures?
Unlock
Unlock the
the Problem
Problem
Herman is building a picnic table for a new campground.
The picnic table is 5 feet 10 inches long. How long is the
picnic table in inches?
Change a mixed measure.
• Is the mixed measure greater than
or less than 6 feet?
• How many inches are in 1 foot?
Think of 5 feet 10 inches as 5 feet + 10 inches.
Write feet as inches.
5 feet
+
10 inches
__
Think: 5 feet × 12 =
60 inches
inches
+
inches
__
inches
So, the picnic table is _ inches long.
Example 1 Add mixed measures.
Herman built a deck behind his house in 2 days. The first day he
worked he made the deck 12 feet 6 inches wide. The second day he
worked he made the deck 8 feet 4 inches wider. How wide is the deck
that Herman built?
STEP 1 Add the inches.
12 ft 6 in.
+ 8 ft 4 in.
__
in.
STEP 2 Add the feet.
12 ft 6 in.
+ 8 ft 4 in.
___
10 in.
© Houghton Mifflin Harcourt Publishing Company
So, the deck Herman built was ___ wide.
Math Talk
Mathematical Processes
How is adding mixed
measures similar to
adding tens and ones?
How is it different?
Explain.
• What if Herman added an extra 2 inches on the deck width?
How wide would the deck be then? Explain.
Module 15
543
Example 2 Subtract mixed measures.
Alicia is building a fence around the picnic area. She has
a pole that is 6 feet 6 inches long. She cuts off 1 foot
7 inches from one end. How long is the pole now?
STEP 1 Subtract the inches.
Think: 7 inches is greater than 6 inches.
You need to regroup to subtract.
6 ft 6 in. = 5 ft 6 in. + 12 in.
= 5 ft _ in.
ERROR Alert
5
18
6
Be sure to check that
you are regrouping
correctly. There are
12 inches in 1 foot.
ft 6 in.
__
1 ft 7 in.
in.
STEP 2 Subtract the feet.
5
6
18
ft 6 in.
 1 ft 7 in.
___
ft 11 in.
So, the pole is now ____ long.
Try This! Subtract.
3 pounds 5 ounces − 1 pound 2 ounces
4 gallons 7 cups − 1 gallon 12 cups
Share
Share and
and Show
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1. A truck is carrying 2 tons 500 pounds of steel. How many
Think of 2 tons 500 pounds as 2 tons + 500 pounds.
Write tons as pounds.
2 tons
+
500 pounds
___
Think: 2 tons × 2,000 =
__ pounds
pounds
+
pounds
___
pounds
So, the truck is carrying __ pounds of steel.
544
© Houghton Mifflin Harcourt Publishing Company
pounds of steel is the truck carrying?
Name
Rewrite each measure in the given unit.
2. 1 yard 2 feet
3. 3 pints 1 cup
_ feet
4. 3 weeks 1 day
_ cups
_ days
Add or subtract.
5.
2 lb 4 oz
+
1 lb 6 oz
___
6.
3 gal 4 qt
−
1 gal 5 qt
___
7.
4 ft 6 in
−
2 ft 8 in
__
Math Talk
Mathematical Processes
How do you know when you
need to regroup to subtract?
Explain.
Problem
Problem Solving
Solving
8.
Justify Jackson has a rope 1 foot 8 inches long. He
cuts it into 4 equal pieces. How many inches long is each piece?
9.
2 ft 10 in.
Sense or Nonsense? Sam and Dave each solve the
+
2 ft 8 in.
___
problem at the right. Sam says the sum is 4 feet 18 inches. Dave says
the sum is 5 feet 6 inches. Whose answer makes sense? Whose answer
is nonsense? Explain.
© Houghton Mifflin Harcourt Publishing Company
10.
Multi-Step Don has 5 pieces of pipe. Each piece is
3 feet 6 inches long. If Don joins the pieces end to end to make
one long pipe, how long will the new pipe be? Explain.
Module 15 • Lesson 5 545
Mathematical Processes
M
Model ¥ Reason ¥ Communicate
M
Daily
Daily Assessment
Assessment Task
Task
Fill in the bubble completely to show your answer.
11. Mark had a dog that weighed 21 pounds 8 ounces. The dog
lost 1 pound 14 ounces. How much does the dog weigh now?
A
20 pounds 4 ounces
B
20 pounds 10 ounces
C
19 pounds 10 ounces
D
19 pounds 4 ounces
12. Linda is making a costume. She needs 3 feet 9 inches of purple
fabric and 4 feet 7 inches of orange fabric. How much fabric does
Linda need to make the costume?
A
8 feet 16 inches
B
7 feet 4 inches
C
8 feet 4 inches
D
1 foot 4 inches
13. Multi-Step Tara makes orange smoothies for a party. She
combines 2 gallons 3 quarts of milk with 1 gallon 2 quarts
of orange juice. Party guests drink 2 gallons 3 quarts of the
smoothies. How much is left of the orange smoothie?
A
4 gallons 1 quart
C
2 gallons 2 quarts
B
1 gallon 2 quarts
D
1 gallon 1 quart
TEXAS Test Prep
14. Maya’s cat weighed 7 pounds 2 ounces last year. The cat gained
546
A
5 pounds 10 ounces
B
8 pounds 2 ounces
C
8 pounds 10 ounces
D
9 pounds
© Houghton Mifflin Harcourt Publishing Company
1 pound 8 ounces this year. What is the weight of Maya’s cat now?
Geometry and Measurement—4.8.C
Also 4.8.B
MATHEMATICAL PROCESSES 4.1.A, 4.1.C, 4.1.G
H o mewo rk
and Practice
15.5
Name
Mixed Measures
Rewrite each measurement in the given unit.
1. 1 pound 8 ounces
2. 3 feet 1 inch
__ ounces
3. 2 gallons 3 quarts
__ inches
__ quarts
Rewrite each measurement in the given unit.
4.
4 yd 2 ft
+
1 yd 3 ft
__
5.
5 gal 1 qt
–__
2 gal 3 qt
6.
2 lb 10 oz
+ 3 lb 12 oz
___
Problem
Problem Solving
Solving
7. Clayton filled 5 containers with water. Each container holds 2 gallons
and 2 quarts. How many quarts of water does Clayton have? Explain.
8. Michael bought 2 pounds 12 ounces of cashews and 3 pounds
© Houghton Mifflin Harcourt Publishing Company
6 ounces of almonds. How many more ounces of almonds did
Michael buy? Explain.
Module 15 • Lesson 5 547
TEXAS Test Prep
Lesson
Lesson Check
Check
Fill in the bubble completely to show your answer.
How many inches long is the snake?
How many feet and inches is the board?
A
28 inches
A
1 foot 11 inches
B
76 inches
B
2 feet 8 inches
C
24 inches
C
3 feet 1 inch
D
42 inches
D
3 feet 2 inches
11. Multi-Step Debbie shipped 2 packages.
One weighed 2 pounds 10 ounces. The
other weighed 4 pounds 12 ounces. What
is the total weight of the two packages?
A
88 ounces
B
130 ounces
C
94 ounces
D
118 ounces
13. Multi-Step Charlie combined 4 quarts
548
10. Mike has a board that is 38 inches long.
12. Multi-Step Ted is 6 feet 4 inches tall.
Lisa is 5 feet 7 inches tall. How much taller
is Ted?
A
7 inches
B
11 inches
C
9 inches
D
8 inches
14. Multi-Step Cindy had 7 feet of yarn.
of sparkling water with 2 gallons 1 quart
of apple juice. Which tells the amount of
drink he made?
She needed 4 inches to make a bracelet.
How many bracelets can she make with
the amount of yarn she has?
A
9 quarts
A
18
B
7 quarts
B
21
C
13 quarts
C
27
D
21 quarts
D
29
© Houghton Mifflin Harcourt Publishing Company
9. Multi-Step A snake is 2 feet 4 inches long.