session 3.5B
Problem Solving Involving
Measurements
Math Focus Points
Using the four operations to solve word problems
involving measurements
Today’s Plan
Materials
activity
•Student Activity Book, p. 52D or
Solving Measurement
Problems
20 Min Class
Pairs
Discussion
Measurement Problems
20 Min Class
Activity
Time Problems
20 Min Class
Session Follow-Up
C52, Measurement Problems Make copies.
(as needed)
Measurement Equivalents chart
(from Session 3.5A)
•
•Student Activity Book, p. 52D or
C52 (from Activity 1)
•Measurement Equivalents chart
•Student Activity Book, p. 52E or
C53, Time Problems Make copies. (as needed)
Measurement
Equivalents chart
•
•Student Activity Book, p. 52F and 52G or
Daily Practice
C54, More Measurement Problems and
C55, More Measurement Conversions
Make copies. (as needed)
Ten-Minute Math
Practicing Place Value: Comparing Numbers Using Digit Cards, make two 3-digit
numbers. Ask students to write down the numbers and compare them using the <, >, or = signs. Have one or two students give the answer and explain how they
compared numbers. Repeat the activity using 4-digit, then 5-digit numbers.
CC78 Investigation 3 Understanding Volume
INV12_TE04_U07_S3.5B.indd 78
6/3/11 4:03 PM
1 Activity 2 Discussion 3 Activity 4 Session Follow-Up
Name
AC TIVIT Y
Date
Moving Between Solids and Silhouettes
Solving Measurement
Problems
20 Min
class
Measurement Problems
pairs
Solve each problem and show your solution.
1. Lucy bought 3 quarts of chocolate milk and 2 gallons
of white milk. How many quarts of milk did Lucy buy
in all?
2. The mass of a rabbit is 4 kilograms. The mass of a
mouse is 45 grams. How much greater is the mass of
the rabbit?
Draw students’ attention to the Measurement Equivalents chart.
You have been using these equivalents to convert measurements.
Sometimes you need to convert measurements to solve word
problems. Talk to your partner and solve this problem:
Students might say:
“We knew we had to divide. We looked at
the chart and saw that a gallon is the same
as 4 quarts. So we divided 20 by 4 and got
5. 5 containers would be filled.”
4. There are 2_12 pints of apple juice and 1_12 pints of grape
juice in the refrigerator. How much juice is there in all?
© Pearson Education 4
A chef made 20 quarts of soup. How many 1-gallon storage
containers can the chef fill with the soup?
3. Noemi poured 1.2 liters of water into a 3-liter pot. How
much more water should be added to completely fill
the pot?
5. Mr. Dakarian bought 3 quarts of orange juice. If his
family drinks 3 cups of orange juice each day, how
many days will the orange juice last?
Session 3.5B
Unit 7
52D
▲ Student Activity Book, Unit 7, p. 52D;
Resource Masters, C52
INV12_SE04_U7.indd 4
6/3/11 10:25 AM
“We drew 20 dots for the quarts. Then
we circled groups of 4 to divide them
into gallons. We got 5 groups, so that’s
5 gallons.”
Have students work in pairs to complete Student Activity Book page
52D or C52. Tell them to be prepared to share their solutions to
Problem 4.
Ongoing Assessment: Observing Students at Work
Students solve measurement problems.
• Do students recognize when they need to use an
equivalent measurement?
• Do students multiply or divide by the correct conversion
factor?
• Do students select the correct operation to solve the
problem? Do they use diagrams to help picture the situation?
differentiation: Supporting the Range of Learners
Students who are having difficulty may be
uncertain whether they need to make conversions and, if so,
which ones to make. Explain that if there are two different units in
the problem, they should convert the measurement given in
larger units to the smaller units of measurement.
Session 3.5B Problem Solving Involving Measurements INV12_TE04_U07_S3.5B.indd 79
CC79
6/3/11 4:06 PM
1 Activity 2 Discussion 3 Activity 4 Session Follow-Up
Name
Date
Moving Between Solids and Silhouettes
Discussion
Time Problems
1. Ramona went on a long hike. She started her hike at
8:00 a.m. and hiked for 2 hours 45 minutes. When did
Ramona finish her hike?
Using the four operations to solve word problems involving
measurements
3. A party started at 7:30 p.m. and ended at 9:45 p.m.
How long did the party last?
Use Problem 4 from Student Activity Book page 52D or C52 as the
focus for this discussion. Read the problem and ask students to
share their solutions.
4. Mr. Chin wants to get 8 hours of sleep. If he needs to
get up at 6:15 a.m., when should he go to sleep?
Unit 7
© Pearson Education 4
5. Ms. Curtis is driving 5 hours to visit her aunt. She drove
for _52 of the time and then stopped for lunch. For how
many hours has she already driven?
52E
class
Math Focus Points for Discussion
2. A television station ran a 2-minute commercial about pet
food. It was followed by a 90-second commercial about
an airline. Which commercial was longer? How much
longer was it?
Session 3.5B
▲ Student Activity Book, Unit 7, p. 52E;
Resource Masters, C53
INV12_SE04_U7.indd 5
20 Min
Measurement Problems
Solve each problem and show your work.
6/3/11 10:25 AM
There are 2​2 _1 ​ pints of apple juice and 1​2 _1 ​ pints of grape juice in the
refrigerator. How much juice is there in all?
Students might say:
“We didn’t think we had to change anything
since it’s all in pints. We drew it on a
number line so we could add. We got 4
pints. I guess we could change this to
quarts, but the problem didn’t say so.”
_1
22
0
1
_1
12
2
3
4
5
“We drew squares and shaded them, so we
could see we had 4 pints in all.”
“We just added the numbers. ​ _12 ​ of a pint
and ​ _12 ​ of a pint makes 1 pint. Then we
added the whole numbers. 1 + 2 = 3. And
we put it all together and got 4 pints.”
CC80 Investigation 3 Understanding Volume
INV12_TE04_U07_S3.5B.indd 80
6/3/11 4:18 PM
1 Activity 2 Discussion 3 Activity 4 Session Follow-Up
“We knew ​ _12 ​ of a pint is a cup. So we
changed everything to cups and then
added 5 cups and 3 cups. We got 8 cups.
Then we changed that back to 4 pints for
our answer.”
Name
Date
Moving Between Solids and Silhouettes
Daily Practice
More Measurement Problems
note Students use the four
operations to solve problems
involving measurements.
Solve each problem and show your work.
1. Marisol used 2_34 gallons of paint to paint the walls
of her bedroom and _34 of a gallon to paint the ceiling.
How much paint did she use in all?
2. Jill went shopping from 3:45 p.m. to 5:00 p.m. How long
did she shop?
Discuss these and other strategies for solving the problem. Ask
students to consider whether some strategies seem easier or more
efficient.
3. The mass of a melon is 2 kilograms. The mass of a plum
is 75 grams. How much greater is the mass of the
melon? (1 kilogram = 1,000 grams)
4. Bill went to the museum at 11:30 a.m. He stayed for
3_12 hours. When did he leave?
Time Problems
20 Min
class
© Pearson Education 4
5. Terrell made 4 pints of soup. How many 2-cup servings
of soup would this be? (1 pint = 2 cups)
Ac tivit y
Session 3.5B
Explain that times from midnight to noon are called a.m. times
and that times from noon to midnight are called p.m. times.
Suppose you get to school at 8:30 a.m. and stay there for 6 hours
and 45 minutes. What time is it when you leave school? Explain
how you figured it out.
Students might say:
“3:15 p.m. I counted 4 hours to 12:30.
Then I counted 2 more hours to 2:30, and
45 minutes more. I ended up at 3:15. It’s
past noon, so it’s p.m.”
After students solve this problem and share their answers, have
them complete Student Activity Book page 52E or C53.
52F
▲ S tudent Activity Book, Unit 7, p. 52F;
Resource Masters, C54
6/3/11 10:25 AM
Name
Date
Moving Between Solids and Silhouettes
Daily Practice
More Measurement
Conversions
nOte Students convert
measurements from larger units
to smaller units.
In Problems 1–4, write the missing number in the
blank. Then complete the table.
1. 1 liter =
milliliters
2. 1 hour =
minutes
Liters
Milliliters
Hours
Minutes
3
3,000
4
240
4
5
5
6
9
10
20
12
3. 1 kilogram =
grams
4. 1 pound =
Kilograms
Grams
Pounds
2
2,000
3
3
6
5
8
8
10
15
20
ounces
Ounces
48
128
© Pearson Education 4
“It is 3:15 p.m. We drew a clock to help keep
track of everything.”
Now, suppose you saw a movie that started at 7:15 p.m. and
ended at 9:00 p.m. How long did the movie last?
Unit 7
INV12_SE04_U7.indd 6
52G
Unit 7
Session 3.5B
▲ S tudent Activity Book, Unit 7, p. 52G;
Resource Masters, C55
INV12_SE04_U7.indd 7
6/3/11 10:26 AM
Session Follow-Up
Daily Practice
Daily Practice: For reinforcement of this unit’s content,
have students complete Student Activity Book pages 52F and
52G or C54 and C55.
Session 3.5B Problem Solving Involving Measurements INV12_TE04_U07_S3.5B.indd 81
CC81
6/3/11 4:13 PM
Name
Date
Moving Between Solids and Silhouettes
Measurement Problems
Solve each problem and show your solution.
1. Lucy bought 3 quarts of chocolate milk and 2 gallons
of white milk. How many quarts of milk did Lucy buy
in all?
2. The mass of a rabbit is 4 kilograms. The mass of a
mouse is 45 grams. How much greater is the mass of
the rabbit?
3. Noemi poured 1.2 liters of water into a 3-liter pot. How
much more water should be added to completely fill
the pot?
4. There are 2​_ 12 ​ pints of apple juice and 1​ _12 ​ pints of grape
juice in the refrigerator. How much juice is there in all?
5. Mr. Dakarian bought 3 quarts of orange juice. If his
family drinks 3 cups of orange juice each day, how
many days will the orange juice last?
Unit 7 Session 3.5B
INV12_BLM04_U7.indd 52
C52
© Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
6/17/11 11:07 AM
Name
Date
Moving Between Solids and Silhouettes
Time Problems
Solve each problem and show your work.
1. Ramona went on a long hike. She started her hike at
8:00 a.m. and hiked for 2 hours 45 minutes. When did
Ramona finish her hike?
2. A television station ran a 2-minute commercial about pet
food. It was followed by a 90-second commercial about
an airline. Which commercial was longer? How much
longer was it?
3. A party started at 7:30 p.m. and ended at 9:45 p.m.
How long did the party last?
4. Mr. Chin wants to get 8 hours of sleep. If he needs to
get up at 6:15 a.m., when should he go to sleep?
5. Ms. Curtis is driving 5 hours to visit her aunt. She drove
for ​ _25 ​ of the time and then stopped for lunch. For how
many hours has she already driven?
Unit 7 Session 3.5B
INV12_BLM04_U7.indd 53
C53
© Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
6/22/11 4:09 PM
Daily Practice
Moving Between Solids and Silhouettes
Solving Measurement
Problems
note Students use the four
operations to solve problems
involving measurements.
Solve each problem and show your work.
1. A large canned ham has a mass of 3 kilograms.
A small canned ham has a mass of 1.5 kilograms.
What is the total mass of the two canned hams?
2. Mrs. Corelli worked in her garden from 1:30 p.m. to
3:15 p.m. How long did she work in her garden?
3. How many 5-minute cartoons can be shown in one
hour? (The cartoons are shown one at a time.)
4. Enrique used 3 _12 ​ gallons of apple juice and 2_​ 12 ​ gallons
of orange juice to make some fruit punch for a school
picnic. How many quarts of juice are in the punch?
5. One fish bowl holds 10 liters of water and another
holds 7,500 milliliters of water. Which fish bowl holds
more water? How much more? (1 liter = 1,000 milliliters)
Unit 7 Session 3.5
INV12_BLM04_U7.indd 56
C56
© Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
6/22/11 4:17 PM
Daily Practice
Moving Between Solids and Silhouettes
More Measurement
Problems
note Students use the four
operations to solve problems
involving measurements.
Solve each problem and show your work.
1. Marisol used 2​ _34 ​ gallons of paint to paint the walls
of her bedroom and _​ 34 ​ of a gallon to paint the ceiling.
How much paint did she use in all?
2. Jill went shopping from 3:45 p.m. to 5:00 p.m. How long
did she shop?
3. The mass of a melon is 2 kilograms. The mass of a plum
is 75 grams. How much greater is the mass of the
melon? (1 kilogram = 1,000 grams)
4. Bill went to the museum at 11:30 a.m. He stayed for
3​ _12  ​hours. When did he leave?
5. Terrell made 4 pints of soup. How many 2-cup servings
of soup would this be? (1 pint = 2 cups)
Unit 7 Session 3.5B
INV12_BLM04_U7.indd 54
C54
© Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
6/22/11 4:15 PM
Daily Practice
Moving Between Solids and Silhouettes
More Measurement
Conversions
note Students convert
measurements from larger units
to smaller units.
In Problems 1–4, write the missing number in
the blank. Then complete the table.
1. 1 liter =
Milliliters
Hours
Minutes
3
3,000
4
240
4
5
5
6
9
10
20
12
4.1 pound =
grams
ounces
Kilograms
Grams
Pounds
Ounces
2
2,000
3
48
3
6
5
8
8
10
15
Unit 7 Session 3.5B
INV12_BLM04_U7.indd 55
minutes
Liters
3. 1 kilogram =
2.1 hour =
milliliters
C55
128
20
© Pearson Education, Inc., or its affiliates. All Rights Reserved. 4
6/22/11 4:16 PM