Scottish Survey of Literacy & Numeracy Support Material Produced by Education Scotland

Scottish Survey of Literacy & Numeracy • Support Material Produced by Education Scotland Transforming lives through learning

multiply multiply multiply 17 x 42 x x 23

5 x 42 • difficulties ? • learning and teaching ? • just over 1 in 4 answered correctly Multiplying beyond the tables Survey type question Reflective Questions:

3x4 4x3 • multiplication as a picture • always a rectangle Milestones of progression

32 3 squared 3x3 ? Reflective questions • 3x4 same as 4x3 ? • What is the same as 2x9 ? • 9 times table in P4 ? • Reducing table facts ?

5 42 5 x 42 rectangle 5 coaches with 42 in each

5 2 4 6 2 3 4 5 6 3 60 42 1 1 2 2 3 3 4 4 5 6 7 5 6 7 8 9 10 + (6 x 7) 6 x 17 =102 (6 x 10) 6 x 17 = 1 1 Beyond the tables

(6 x 10) (6 x 7) • 42 in the graphic ? • 60 in the graphic ? 6 x 17 = 6 x 17 =102 Algorithm 17 x6 42 + 60 Reflective Questions 102 ✔

6 x 17 = Refined Algorithm 1 7 x6 10 2 4

4 23 Pupil questions: What multiplication for this ? How to split this ?

10 12 12 4 40 40 12 80 23 40 12 10 80 20 40 4 3 3 =92 =92 What is 4x23 ? or + + +

5 10 10 42 50 50 10 2 50 50 10 50 10 10 50 50 50 =210 5 x 42 Back to the coaches Answer + + + +

Rectangle method 6 35 Survey question £35 • 6 rugby shirts at £35 each • 1 in 4 pupils answered correctly Reflective Question other strategies ?

6x4 double 4 then x3 Check it works 3 x 8 is double 3 6 x6 is x2 then x3 what is the missing number 6x7 = 3 x

6 x £35 = 3 x £ Rugby shirts 6 35 £35 Making links

35 70 6 times table double 3x table 35 70 35 35 70 35 35 Number line 0 210 0 210 Reflection

42 42 42 42 42 42 42 42 42 42 5 x 42 Back to the coaches 0 420 10x42 half 0 210 5x42 Question: 5x26 ?

4x23 [23 = 10+10+3] Table recall to 10 Chunking within 10 4x10 4x10 4x3 Link with the rectangle Link with the number line

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Scottish Survey of Literacy & Numeracy Support Material Produced by Education Scotland