1. MATERIALS NEEDED FOR THIS LESSON Teacher Student Click
Personal White Boards
Markers
Student pages (Problem set, Exit Ticket, Homework)
Reference Sheet (can be found by clicking here.
None
Click

2. Multi-Digit Whole Number and Decimal Fraction Operations
5th Grade
Module 2
Lesson 13
Multi-Digit Whole Number and Decimal Fraction Operations
Objective:
Use whole number multiplication to express equivalent measurements.

3. Fluency Practice (12 minutes)
1. Divide by 10, 100, and (2 minutes)
2. Multiply Using the Area Model (7 minutes)
3. Unit Conversions (3 minutes)
Materials Out and Ready
Personal White Boards and Marker
Sharpened Pencil

4. Fluency Practice (12 minutes)
1. Divide by 10, 100, and 1,000(2 minutes)
30 ÷ 10 = ___
300 ÷ 100 = ___
3000 ÷ 1000 = ___
50 ÷ 10 = ___
500 ÷ 100 = ___
5000 ÷ 1000 = ___
40 ÷ 10 = ___
400 ÷ 100 = ___
4000 ÷ 1000 = ___
80 ÷ 10 = ___
800 ÷ 100 = ___
8000 ÷ 1000 = ___

5. Fluency Practice (12 minutes)
2. Multiply Using the Area Model(7 minutes)
Follow the same process
and procedure as
G5–M2–Lessons 11 and 12
5.21 × 34
8.35 × 73

6. 3. Unit Conversions (3 minutes)
Fluency Practice (12 minutes)
3. Unit Conversions (3 minutes)
1 ft = ____ in.
2 ft = ____ in.
3 ft = ____ in.
4 ft = ____ in.
10 ft = ____ in.
5 ft = ____ in.
7 ft = ____ in.
100 cm = ____ m
200 cm = ____ m
300 cm = ____ m
600 cm = ____ m
800 cm = ____ m
400 cm = ____ m

7. Application Problem (8 minutes)
1) You have 20 seconds to get into pairs.
2) Each pair will receive a colored string.
3) Measure your string to the nearest unit 
according to below...
 Blue = feet
 Red = inches
 Yellow = meter
 Green = centimeter
4) Once you have your measurement, find the 
students who have the same length of string as 
you.
Refer to lesson for set-up
directions

8. Application Problem (8 minutes)
Record your results below.

9. Application Problem (8 minutes)
Observations?

10. Concept Development (26 minutes)
Opener
1. Turn and talk with your neighbor. How might this 
document help us solve problems?
Make sure you distribute
the reference sheet prior
to the lesson.

11. Concept Development (26 minutes)
Opener
2. Today we'll be using this reference sheet to help 
us convert between various units of measure. Discuss 
witha partner the types of measurement units you see 
on this sheet.

12. Concept Development (26 minutes)
Opener
3. Divide your white boards into three sections 
labeled Length, Weight, and Volume/Capacity.
4) Talk in groups about which units are used for each 
type of measurement and record those units in the 
appropriate section of your white board. Be prepared 
to discuss.

13. Concept Development (30 minutes)
Problem 1
15 feet = ______ inches
How can we use the patterns we just saw in our Application 
Problem to help us convert from feet to inches? Turn and talk.

14. Concept Development (30 minutes)
Problem 1
Visualize the tape measure we just used to measure in feet and 
inches. How many inches did we see in each foot?
Let’s draw a number line to show what we saw. You draw your 
own number line.

15. Concept Development (30 minutes)
Problem 1
If one foot, or one unit, is equal to 12 inches, how can I find 
what 15 feet is equal to? Turn and share.

16. Concept Development (30 minutes)
Problem 1
If I wanted to express this conversion as a multiplication 
equation, what would it look like? Write it down on your board. 
Would this method work for any situation in which I wanted to 
name feet as inches?

17. Concept Development (30 minutes)
Problem 1
We just converted from feet to inches. Which unit is larger, feet 
or inches?

18. Concept Development (30 minutes)
Problem 1
Think back to our Application Problem. Remind me why we 
need so many inches to make just 15 feet. Tell your neighbor.

19. 150 feet = _____ in Concept Development (30 minutes)
Problem 1
Use the same process we have been using 
to convert the measurement below. Be 
prepared to explain your answer.
150 feet = _____ in

20. 152 feet = _____ in Concept Development (30 minutes)
Problem 1
Use what you just found out about 150 feet 
to help you determine the conversion below.
152 feet = _____ in
What could you do to help you figure this 
out easily?

21. Problem 2 Concept Development (30 minutes)
3 tons 140 pounds = _______ pounds
Let's use our thinking about multiplication to solve this 
one. Tell your neighbor which part of the Reference 
Sheet will help us solve this one.

22. Problem 2 Concept Development (30 minutes)
3 tons 140 pounds = _______ pounds
How is this problem slightly different from the first one we 
solved?

23. Problem 2 Concept Development (30 minutes)
3 tons 140 pounds = _______ pounds
How is this problem slightly different from the first one we 
solved?

24. Problem 2 Concept Development (30 minutes)
3 tons 140 pounds = _______ pounds
Let’s start with the 3 tons. Work with your partner to draw a double 
number line showing tons and pounds.
Look at your drawing. How many pounds are equal to 3 tons?
Are we finished? Have we found a weight equal to what we started
with? Why or Why not?

25. Problem 2 Concept Development (30 minutes)
42 feet 9 inches = _______ inches
Use the same process we just used in the previous problem to solve 
the problem above. Be prepared to explain your thinking.

26. Problem 3 Concept Development (30 minutes)
______ ounces = 9 pounds 11 ounces
Look at your Reference Sheet. Tell your neighbor the 
conversion factor that you’ll be using to solve this 
problem.

27. Problem 3 Concept Development (30 minutes)
______ ounces = 9 pounds 11 ounces
For this problem, work in pairs. One of you should draw a 
double number line while your partner uses multiplication and 
addition to solve. Check your partner’s work as you go. Be 
prepared to share out your thinking.

28. Problem 4 Concept Development (30 minutes)
155 gallons = ____ quarts =____ pints
Use your Reference Sheet to help you solve 
independently. If you like, you may draw a 
double number line.

29. Problem 4 Concept Development (30 minutes)
155 gallons = ____ quarts =____ pints
155 gallons equals how many quarts? Explain 
your reasoning?

30. Problem 4 Concept Development (30 minutes)
155 gallons = ____ quarts =____ pints
620
Find the number of pints in 620 quarts 
mentally

31. Problem 4 Concept Development (30 minutes)
57 gallons 1 quart = ____ quarts
Use your Reference Sheet to help you solve 
independently. If you like, you may draw a 
double number line.

32. Problem 4 Concept Development (30 minutes)
63 quarts 3 pints = ____ pints
Use your Reference Sheet to help you solve 
independently. If you like, you may draw a 
double number line.

33. Problem Set (10 minutes) Do Your Personal Best
(Complete independently!)

34. Student Debrief (10 minutes)
Work with your partner or table and compare 
answers and strategies from Problem Set.
*Choose 2 problems and compare strategies 
*Did you use the same strategy or different? 
*Did you come to the same solution?
AND/OR
(Teacher: Option to choose 1-all of the 
questions to give as closure to the class. 
Questions are behind screen. Delete ones 
not used and enlarge those to be used.)
*Explain the term conversion factor.
*In the conversion you completed for Problem 1, explain your 
thought process as you worked. Why did you choose to multiply 
when converting these units? How did you decide what to 
multiply by?
*Convert 15 meters into centimeters. (Students convert to 
1500 cm.) Look back at the conversions in Problem 
feet is equal to 180 inches. Both of these conversions start 
with 15 units. Explain how 15 units could be equal to two 
different amounts—180 and 1500.
*How did the Application Problem connect to today’s 
lesson?
*Can you name some real life situations in which measurement 
conversion might be useful and/or necessary?

35. EXIT TICKET (3 minutes)
Complete the exit ticket and turn in...

36. HOMEWORK