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

This support material from Education Scotland provides resources for learning and teaching multiplication beyond the tables. The survey results indicate difficulties in multiplying beyond the tables, with just over 1 in 4 pupils answering correctly. The material includes reflective questions, milestones of progression, algorithms, and links to other strategies.

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

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

  2. multiply multiply multiply 17 x 42 x x 23

  3. 5 x 42 • difficulties ? • learning and teaching ? • just over 1 in 4 answered correctly Multiplying beyond the tables Survey type question Reflective Questions:

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

  5. 32 3 squared 3x3 ? Reflective questions • 3x4 same as 4x3 ? • What is the same as 2x9 ? • 9 times table in P4 ? • Reducing table facts ?

  6. 5 42 5 x 42 rectangle 5 coaches with 42 in each

  7. 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

  8. (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 ✔

  9. 6 x 17 = Refined Algorithm 1 7 x6 10 2 4

  10. 4 23 Pupil questions: What multiplication for this ? How to split this ?

  11. 10 12 12 4 40 40 12 80 23 40 12 10 80 20 40 4 3 3 =92 =92 What is 4x23 ? or + + +

  12. 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 + + + +

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

  14. 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

  15. 6 x £35 = 3 x £ Rugby shirts 6 35 £35 Making links

  16. 35 70 6 times table double 3x table 35 70 35 35 70 35 35 Number line 0 210 0 210 Reflection

  17. 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 ?

  18. 4x23 [23 = 10+10+3] Table recall to 10 Chunking within 10 4x10 4x10 4x3 Link with the rectangle Link with the number line

  19. www.educationscotland.gov.uk

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