1. 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

2. 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 1Stage 2-4 (AC)Stage 5 (EA) Unequal SharingEqual SharingUse of Addition and known facts e.g. 4 + 4 + 4 = 12

3. 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

4. Key Idea 1 Task: Draw two pictures of one quarter

5. 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.

6. Key Idea 1 Work with both shapes and sets of fractions from early on.

7. Key Idea 2 : (Moving to EA) Develop use of addition to solve fraction problems rather than equal sharing.

8. The Strategy Teaching Model Using Number Properties Using Imaging Using Material s New Knowledge & Strategies Existing Knowledge & Strategies Using Materials

9. Find one quarter of this shape

12. Now find one quarter of 12 (using equal sharing - Stage 4)

13. Now find one quarter of 12 Using halving and halving again 6 6 3 3 3 3

14. Now find one quarter of 12 using addition facts - Stage 5 ? ?? ? 3 3 3 3 ? + ? + ? + ? = 12

15. 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 3 3 3

16. Using Number Properties Find one quarter of 40, 400, 4000

17. 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.

18. Key Idea 3 What fraction is shaded? 3 sevenths 3 out of 7 7/3 7 thirds

19. 5 views of fractions 3 over 73 : 7!! 3 out of 7 3 ÷ 7 3 sevenths

20. + = “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” 1212 2323 3535 The problem with “out of” 2323 x 24 = 2 out of 3 multiplied by 24 !!!!!

21. 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

22. Fractional vocabulary One half One third One quarter Don’t know

23. Emphasise the ‘ths’ code 1 dog + 2 dogs = 3 dogs 1 fifth + 2 fifths = 3 fifths 1 / 5 + 2 / 5 = 3 / 5 3 fifths + ? / 5 = 1 1 - ? / 5 = 3 / 5 1 - ? / 20 = 3 / 20 17

24. 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.

25. Play Which Mystery Letter Am I?

26. 6 is one quarter of what number? This is one quarter of a shape. What does the whole look like? Key Idea 4

27. 24

28. 6 is one quarter of what number? 6 ?? ? 6 6 6 6 6 + 6 + 6 + 6 = 24

29. 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.

30. Key Idea 5 Which letter shows 5 halves as a number? 0123 ABCDEF

31. Recapping Key Idea 5 Fractions are not always less than 1. Push over 1 early to consolidate the understanding of the top and bottom numbers. 1 5 21/221/2 5 halves

32. 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 1 1 / 2 2

33. Using Fraction Circles Which is bigger 3/4 or 9/8?

34. 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

35. 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 carefully 3.Fractions are a context for add/sub and mult/div strategies 4.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.

36. 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

37. Fraction / Number Mat Fraction Snakes and Chances Fraction Dominoes Fraction I have, Who Has Fraction Bingo Fraction Memory/ Happy Families