Overf low Problems
77
What You Need
Math Journal 2, page 215
poster paper • 6-sided die • calibrated bottle • 5 golf balls
What To Do
Work with a partner or by yourself.
1 Use your calibrated bottle to find the volume of a single golf ball. Use Problem 8 on
journal page 215 to help you, if needed.
2 Create your own volume problem. Roll the die two times. Each roll corresponds
to information in the table below that becomes part of your problem.
PROBLEM: You have a…
1. 5-liter bucket
3. 3000 mL mixing bowl
5. 2500 mL vase
2. 6-liter sink
4. 2-liter bottle
6. 3500 mL pot
that is
filled with water.
3
1. ​ _
 ​ 
4
7
2. ​ _
 ​ 
8
1
3. ​ _
 ​ 
2
5
4. ​ _
 ​ 
8
1
5. ​ _
 ​ 
4
5
6. ​ _
 ​ 
6
About how many golf balls could you put in the container before the water overflows?
For example: If you roll a 5 and a 1, your problem would be:
3
You have a 2500 mL vase that is _
​ 4 ​  filled with water. About how many golf balls
could you put in the vase before the water overflows?
3 Solve your problem. Create a poster to show how you solved it.
Talk About It
How did you figure out the volume of the water in the container at the beginning of the problem?
How did you solve your overflow problem?
More You Can Do
Repeat the activity to create a different problem. This time, use an object other than a golf ball,
such as an orange, a potato, or a soup can.
Copyright © McGraw-Hill Education
5.NF.4, 5.MD.3, SMP5
Use with Lesson 6-7 Enrichment, or after.
Exploring the Volume
of the Human Heart
and Brain
Lesson 6-7
NAME
DATE
TIME
Use your calibrated bottle to learn about the volume of a human heart and brain.
SRB
236, 238
1
Your fist has nearly the same volume as your heart. Follow these steps to find
the approximate volume of your heart.
• Check that your calibrated bottle is filled to the 0 mL level.
700
600
• Place a rubber band around your wrist, just below the wrist bone.
500
400
300
200
• Put your fist in the bottle until water reaches the rubber band.
a. What is the new level of the water in the bottle?
100
mL
mL
mL
mL
mL
mL
mL
0m
L
mL
b. Does it matter whether you make a fist or keep your hand open?
c. What is the volume of your fist:
in milliliters?
mL
in cubic centimeters?
cm3
This is the approximate volume of your heart.
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
2
Follow the same procedure to find the volume of an adult heart. Ask your teacher or
another adult to place his or her fist in the bottle.
a. What is the new level of the water in the bottle?
mL
b. What is the volume of the adult fist:
in milliliters?
mL
in cubic centimeters?
cm3
This is the approximate volume of the adult’s heart.
c. How does the volume of the adult’s heart compare to the volume of your heart?
3
The average adult human brain has a volume of about 1,200 cm3.
Use the objects your teacher has given you. Find a collection with a combined volume
close to the volume of an adult human brain. Record the items and volumes. Use the
back of this page if you need more space.
Objects
Volumes in cm3
Total volume of all objects →
229
Volume in Milliliters
and Cubic Centimeters
Home Link 6-7
NAME
DATE
TIME
Solve the problems below. Use V = l × w × h and V = B × h to help you solve.
Record the volumes in cubic centimeters and milliliters. Remember: 1 cm3 = 1 mL
1
mL
A small aquarium is 20 centimeters long and 25 centimeters wide. The water in the
aquarium is 20 centimeters high. What is the volume of the water in the aquarium?
cm3
3
mL
Alex has a calibrated bottle. The water level is at the 0 mL mark. When Alex places
a baseball under the water, the water level rises to the 200 mL mark. What is the
volume of the baseball?
cm3
4
236, 238
The area of the base of a pencil case is 100 square centimeters. The pencil case
is 5 centimeters tall. What is the volume of the pencil case?
cm3
2
SRB
mL
For each problem above, which unit of volume makes more sense? Explain your
answers.
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
a. Problem 1:
b. Problem 2:
c. Problem 3:
Practice
Multiply.
5
230
7
1
_
∗_
=
8
2
6
5
5
_
∗_
=
9
6
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
NAME
DATE
TIME
Exit Slip
NAME
DATE
TIME
TA6
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
Exit Slip
Exponent Ball
Gameboard
NAME
DATE
20
30
40
50
40
30
20
10
Goal Line
Goal Line
10
20
30
40
50
40
30
20
10
10
TIME
Value of Expression
Move Ball
0.0001 to 0.00099
Backward 15 yards
0.001 to 0.0099
Forward 10 yards
0.01 to 99
Forward 20 yards
100 to 3,999
Forward 30 yards
4,000 to 39,999
Forward 40 yards
40,000 and above
Forward 50 yards
Table 2: Kicks
G28
Value of Roll
Move Ball
1
Forward 10 yards
2
Forward 20 yards
3
Forward 30 yards
4
Forward 40 yards
5
Forward 50 yards
6
Forward 60 yards
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
Table 1: Runs
Exponent Ball
Record Sheet
Expression
Example:
NAME
Value
DATE
Move Ball
4.2 ÷ 103 0.0042 Forward 10 yards
TIME
Score
—
Turn 1
.
10
.
10
.
10
Copyright © McGraw-Hill Education. Permission is granted to reproduce for classroom use.
Turn 2
.
10
.
10
.
10
Turn 3
.
10
.
10
.
10
Turn 4
.
10
.
10
.
10
Total Score
G29