comparing fractions with different wholes

1. Lesson 11
Fractions
OBJECTIVE: We will compare unit
fractions with different sized models
representing the whole.

2. Fluency Practice 1
Skip count all numbers 1-12 together as
a class.
Ready, Set GO!

3. Fluency Practice 2
Greater or Less than 1 whole game
Take out your whiteboards.
I will show you a fraction and you write
on your board whether it is greater
than or less than 1 whole.
Ready?
HINT- Draw a picture of the fraction

4. 1------------------
2

5. 3------------------
2

6. 1------------------
3

7. 2------------------
3

8. 4------------------
3

9. 5------------------
4

10. 3------------------
5

11. 5------------------
4

12. 5------------------
8

13. Fluency Practice 3
How many halves are in 1 whole?
What is one more half than 2 halves?
Write it as a fraction on your
whiteboard.

14. How many thirds are in 1 whole?
What is one more third than 3 thirds?
Write it as a fraction on your
whiteboard.

15. How many fourths are in 1 whole?
What is one more fourth than 4 fourths?
Write it as a fraction on your
whiteboard.

16. How many tenths are in 1 whole?
What is one more tenth than 10 tenths?
Write it as a fraction on your
whiteboard.

17. Problem Solving
Rachel, Silvia and Lola each received the same
homework assignment but they only completed part
of it.
Rachel completed 1/6 of hers.
Silvia completed 1/2 of hers.
Lola completed 1/4 of hers.
Write the amount of homework each girl completed from
least to greatest.
Hint: draw pictures or use a number line

18. OBJECTIVE- We will compare unit fractions with
different sized models representing the whole
1 is the same as 1
Let’s investigate

19. Example
1 liter of soda and 1 can of soda
Is 1 still the same as 1?
Who thinks yes? Who thinks no?

20. So how much and how big are important
to our question.
A liter is bigger so it has more soda than
a can.

21. Think
How does this change your
thinking about “1 is the
same as 1”?

22. As you compare 1 and 1, I hear you say
that the size of the whole and how
much is in it matters.
The same is true when comparing
fractions.

23. Example 1
For breakfast this morning my son and I had a
glass of juice.
What fraction of my glass has juice?
What fraction of my son’s glass has juice?
When the wholes are the same 1 half is greater
than 1 fourth. Does this look like that?

24. Example 2
I have 2 chocolate bars. One I will divide
into fourths. The other into halves.
Which is more, 1 half or 1 fourth?
What happened with my chocolate bars?

25. Let’s see how comparison changes when
our wholes are the same.
Juice?
Chocolate?
What did you learn from this?

26. Practice
Draw 2 rectangles that are the same size on
your board.
Partition them both into thirds.
Now partition one of them into sixths.
Shade a unit fraction in each rectangle.
Label your models “greater than” or “less than”

27. Does your picture prove that 1 sixth is
less than 1 third? Why or why not?
Discuss with your partner.

28. Practice
Draw 2 rectangles the same size.
Divide one into fourths and the other into
eighths?
Shade in one unit fraction for each.
Write it as a “greater than” or “less than”
example. Share with your partner.

29. Video
Comparing
Fractions of Different Wh

30. More Practice
1/2 and 1/6
1/4 and 1/8
1/5 and 1/10
1/3 and 1/4

31. Problem Set
You will be working on your own to
complete this problem set. I will give
you 10 minutes. Use the “READ,
DRAW, WRITE” approach where
needed.