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Use your framework to explore fraction knowledge developed at stages 4-5 Identifies symbols for halves, quarters, thirds and fifths and tenths Identifies symbols for improper fractions, e.g. 5 / 4 Order fractions with like denominators (and unit fractions) Know doubles and halves to 20
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Content Knowledge Focus Fractions
Purpose: Mini workshop sessions (30 - 45 mins) based on a specific focus that you could lead after school as opt-in sessions
Split for your choice:• Stage 6 to 7• Stage 4 to 5
Fraction Snapshots
Here are 12 jelly beans to spread on the cake. If you ate one third of the cake how many jelly beans will you eat?
Stage 1 Stage 2-4 (AC) Stage 5 (EA)Unequal Sharing Equal Sharing Use of Addition and
known facts e.g. 4 + 4 + 4 = 12
Use your framework to explore fraction knowledge developed at
stages 4-5• Identifies symbols for halves, quarters, thirds
and fifths and tenths• Identifies symbols for improper fractions,
e.g. 5/4
• Order fractions with like denominators (and unit fractions)
• Know doubles and halves to 20
Key Idea 1
Task: Draw two pictures of one quarter
Key Idea 1:Discrete and continuous models
One Quarter:
Continuous Discrete (regions/lengths) (sets)Label your drawings as discrete or continuous models.Children need experience with both models from the very start.
Key Idea 1
Work with both shapes and sets of fractions from early on.
Key Idea 2 :
(Moving to EA) Develop use of addition to solve fraction problems rather than equal sharing.
The Strategy Teaching Model
Using Number PropertiesUsing Imaging
Using Material
s
New Knowledge & Strategies
Existing Knowledge & Strategies
Using Materials
Find one quarter of this shape
Find one quarter of this shape
Find one quarter of this shape
Now find one quarter of 12(using equal sharing - Stage 4)
Now find one quarter of 12 Using halving and halving again
66
33
33
Now find one quarter of 12 using addition facts - Stage 5
?
??
?3
3
3
3
? + ? + ? + ? = 12
Find one quarter of 12 using imaging
Key idea: quarters means you need 4 equal groups. One quarter is the number in one of those groups.
3
33
3
Using Number Properties
Find one quarter of 40, 400, 4000
Recapping Key Idea 2 :
(Moving to EA) Develop use of addition to solve fraction problems rather than equal sharing.
Linking the use of regions and sets helps to do this.
Key Idea 3What fraction is shaded?
3 sevenths 3 out of 7 7/3 7 thirds
5 views of fractions
€
37
3 over 73 : 7!!
3 out of 7 3 ÷ 7
3 sevenths
+ = “I ate 1 out of the 2 sandwiches in my lunchbox, Kate ate 2 out of the 3 sandwiches in her lunchbox, so together we ate 3 out of the 5 sandwiches”
12
23
35
The problem with “out of”
23 x 24 =
2 out of 3 multiplied by 24 !!!!!
Fraction Language
Use words before and use symbols with care.e.g. ‘one fifth’ not 1/5
How do you explain the top and bottom numbers? 1 2
The number of parts chosen
The number of parts the whole has been divided into
Fractional vocabulary
One half
One third
One quarter
Don’t know
Emphasise the ‘ths’ code
1 dog + 2 dogs = 3 dogs1 fifth + 2 fifths = 3 fifths1/5 + 2/5 =
3/5
3 fifths + ?/5 = 11 - ?/5 = 3/5
1 - ?/20 = 3/2017
Recapping Key Idea 3
Fraction language is confusing. Emphasise the ‘ths’ code.
Use words before symbols. Introduce symbols with care. The bottom number tells how many parts the whole has been split into, the top number tells how many of those parts have been chosen.
Play Which Mystery Letter Am I?
6 is one quarter of what number?
This is one quarter of a shape. What does the whole look like?
Key Idea 4
24
6 is one quarter of what number?
6
??
?6
6
6
6
6 + 6 + 6 + 6 = 24
Recapping Key Idea 4 Go from part-to-whole as well as
whole-to-part with both shapes and sets.
Children need experience in both reconstructing the whole as well as dividing a whole.
Key Idea 5
Which letter shows 5 halves as a number?
0 1 2 3
A B C D E F
Recapping Key Idea 5Fractions are not always less than 1.Push over 1 early to consolidate the understanding of the top and bottom numbers.
1 521/2
5 halves
Using fraction number lines to consolidate understanding of denominator and numerator
Push over 1
0 1 half 2 halves 3 halves 4 halves
0 1/2 2/2
3/2 4/2
0 1/2 1 11/2 2
Using Fraction Circles
Which is bigger 3/4 or 9/8?
Three in a row (use two dice or numeral cards)A game to practice using improper fractions as numbers
0 1 2 3 4 5 6
e.g. Roll a 3 and a 5
Mark a cross on either 3 fifths or 5 thirds.
The winner is the first person to get three crosses in a row.
X X
Summary of Fractions Key Ideas(Stages 2 - 5 )
1. Use sets as well as shapes/regions from early on 2. Fraction Language - use words first and introduce symbols
carefully3. Fractions are a context for add/sub and mult/div strategies4. Go from Part-to-Whole as well as Whole-to-Part.5. Fractions are not always less than 1, push over 1 early to
consolidate meaning of fraction symbols.
How could you adapt known games to practice fraction knowledge?
• Identifies symbols for halves, quarters, thirds and fifths and tenths
• Identifies symbols for improper fractions, e.g. 5/4
• Order fractions with like denominators (and unit fractions)
• Know doubles and halves to 20
Fraction / Number Mat
Fraction Snakes and
Chances
FractionDominoes
FractionI have, Who
Has
FractionBingo
FractionMemory/ Happy
Families