1. By the end of the lesson, you will be able to…
Lesson 5 Objective: Use multiplication to connect volume as packing with volume as filling.
5th Grade Module 5
Lesson 5
K. Clauson

2. Count by Cubic Centimeters
Count by 100 cubic centimeters to 1,000 cubic centimeters
Count by 100 mL
1,000 mL = 1 liter… now when you get to 1,000 mL say 1 liter
100cm3 200cm3 300cm3 400cm3 500cm3 600cm3 700cm3 800cm3 900cm3 1000cm3
100mL 200mL 300mL 400mL 500mL 600mL 700mL 800mL 900mL 1000mL

3. Find the Area Area = length x width

4. Find the Volume Volume = length x width x height
V = 72 cm3
V = 40 cm3
V = 280 cm3
V = 108 cm3

5. Concept Development
Teacher notes
Groups will need: - centimeter cubes (must sink!) - several small watertight containers (marked with horizontal line for measuring) - small pitchers of water - beaker labeled with mL - ruler or tape measure - class data recording sheet poster (optional) - Problem Set

6. Problem 1 Investigate 1 cm3 = 1 mL
What are some ways that we can determine the volume of the box you’ve been given using the materials?
Measure the length and the width. Measure the height up to the line that’s drawn. Multiply to find the volume!
Confirm the measurement by packing the box to the line that’s drawn
Record the volume in cubic centimeters on your Problem Set

7. Volume/ Capacity
I would like you to find the amount of liquid your container will hold. Any ideas how you might do this using the materials?
What units are on the beaker?
Pour the water to the fill line. Then, measure the amount of water by carefully pouring it into the beaker. Record the liquid volume on your Problem Set.
milliliters

8. Analyze what we have just done!
Let’s look at the volume data.
What do you notice about the volume as they are measured by the cubes and the liquid volume?
What can we say about the relationship of 1 milliliter and 1 cubic centimeter?
There is a way that we can say that these two measurements are equal. Let me show you!
1 cm3 = 1 mL

9. What information do we know about the tank?
Problem 2 A rectangular fish tank measures 30 cm by 20 cm by 40 cm. How many millimeters of water are in the tank when it is full? How many liters is that?
What information do we know about the tank?
Find the volume of the tank.
How many milliliters is that?
30cm x 20cm x 40 cm = 24,000cm3
How many liters is that?
24,000mL
24 liters

10. Find the volume of the tank in cubic centimeters and milliliters.
Problem 3a A small fish tank is filled to the top with water. If the tank measures 15 cm by 10 cm by 10 cm, what is the volume of the water in the tank?
Find the volume of the tank in cubic centimeters and milliliters.
15cm x 10cm x 10cm = 1,500 cm3
= 1,500 mL

11. Problem 3b After a week, water evaporated out of the tank so that the water is now 9cm high. What is the volume of the water in the tank?
Does this change the height of the tank?
Does this change the area of the bottom of the tank?
Will the volume of the tank change?
Find the volume of the tank in cubic centimeters and milliliters.
15cm x 10cm x 9cm = 1,350 cm3
= 1,350 mL

12. Get Ready to Finish the Problem Set on Your Own!
Work on Problem Set 5.
You will have 10 minutes to work!
Fast finishers:
Math Center Activities- choice boards, extra Sprint challenge
CML packets/ worksheets
Problem Solving pages
5th Grade Module 5– Lesson 5
K. Clauson

13. LET’S Debrief Take 2 minutes to check your answers with your partner.
Let’s share any insights you had while solving these problems.
What real world connections can you make to today’s lesson?
Problem 6 describes the height of the water using the word depth. Discuss the connection between the two terms. How is height like depth?
5th Grade Module 5- Lesson 5
K. Clauson

14. EXIT
TICKET
LESSON 5
5th Grade Module 5– Lesson 5
K. Clauson