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Grade Three: Fractions Unit 7 Finding Fair Shares

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Grade Three: Fractions Unit 7 Finding Fair Shares * This generalization is only true if referring to UNIT fractions * * * Have participants get in groups of 2 and ... – PowerPoint PPT presentation

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Title: Grade Three: Fractions Unit 7 Finding Fair Shares


1
Grade ThreeFractionsUnit 7 Finding
Fair Shares
2
(No Transcript)
3
Lets Start with some MATH!
If the whole square is equal to 1, label each
part with the appropriate fraction
4
What makes work with fractions so difficult
for students? (p. 109)
5
Overview of our Sessions
  • Investigation 1 Sharing Brownies
  • Investigation 2 Many Ways to Make a Share
  • CMS Unit Fractions on a Number Line

6
One Brownie to Share
  • Take 1 brownie. How can you cut the brownie so
    that two people can have equal shares?

7
Fraction Notation
  • What would you call the share of the brownie that
    one person gets?
  • This piece is _____ of the whole. What does the
    number on the top stand for? What does the
    number on the bottom stand for?

8
Fraction Notation
  • Read Math Note 3 Vocabulary on page 25
  • Turn and Talk What is most important here?

9
Sharing Brownies
  • Using the sheet of large
  • brownies, create the
  • fair shares on the
  • activity sheet.
  • SAB 1-2

10
Key Discussion Are your shares equal?
11
Making Fair Shares Key Discussion
  • Are these shares equal? How do you know? How
    could you prove it?

12
Why focus on fair shares?
1/3
¼
13
Common Core State Standards
  • What standards are evident in this lesson?
  • How can I ensure that this lesson is about
    mathematics and not about coloring?

14
Making Fraction Sets
  • -Get with a partner and take 5 sheets of the same
    color paper
  • -Fold into equal pieces, then draw lines to
    separate them
  • -Label each piece with the fraction name
  • -Cut into equal pieces
  • 1st sheet 2 equal pieces
  • 2nd sheet 4 equal pieces
  • 3rd sheet 8 equal pieces
  • 4th sheet 3 equal pieces
  • 5th sheet 6 equal pieces

discuss the difference between the two ways to
make sixths and how to prove they are equal
15
Aarrgghh, I know some of my students
  • What challenges may arise as students create
    fraction sets?
  • What can you do that will not interfere with
    student learning?

16
Smallest to Largest

½
14
17
True or False?
  • The Smaller the Denominator, the _________ the
    fraction
  • 1 or 1
  • 7 5

3 Or 4 7 5
18
A students fraction models
  • What do you know about Billys understanding of
    fractions based on his models?

19
Common Core State Standards
  • What standards are evident in this lesson?
  • How can I ensure that this lesson is about
    mathematics and not about coloring?

20
  • Make a new set of fraction cards with one piece
    missing
  • You will need 5 sheets of paper.
  • Fold one paper into fourths.
  • Cut away 1 piece. Label it ¼.
  • Label the remaining piece ¾.
  • Continue until you have made
  • representations for all of these fractions

1 2
1 6
5 6
1 4
3 4
21
NO Common Denominators!
  • Which is larger
  • 5/6 or 7/8

22
NO Common Denominators!
  • Which is larger, 5/6 or 7/8

23
Many Ways to Make a Whole
  • With your partner, find different ways to make a
    whole.
  • Record on FRACTION FACTS Chart

24
Common Core State Standards
  • Do 3rd Graders need to add fractions with unlike
    denominators in the Common Core?
  • Do they need to add fractions at all?
  • Why keep this lesson?

25
Sharing Seven Brownies
  • Imagine there are seven
  • brownies to share equally
  • among four people. About
  • how many brownies do you
  • think each person will get?
  • Work with a partner to find out exactly how many
    brownies each person will get.
  • Record your work on a sheet of paper.

26
Gallery Walk
  • What do you notice about our solutions?

27
Common Core State Standards
  • Do students need to consider quantities greater
    than one?
  • 3.MD.4. Generate measurement data by measuring
    lengths using rulers marked with halves and
    fourths of an inch. Show the data by making a
    line plot, where the horizontal scale is marked
    off in appropriate units whole numbers, halves,
    or quarters.

28
Wrap Up
29
Exit Ticket
30
Welcome Back!
  • Hows it going?
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