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Have a go…

Have a go…. These questions are taken from a past end of Key Stage Two SAT paper. Year 5 & Year 6. Maths Curriculum Evening. Teaching Team. Teachers: Cedar – Miss Rawlings Chestnut – Miss Sefton Mrs Thomas Oak – Miss Evans Maple – Miss Rexworthy TA support: Mrs Fry (Y5 support)

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Have a go…

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  1. Have a go… These questions are taken from a past end of Key Stage Two SAT paper.

  2. Year 5 & Year 6 Maths Curriculum Evening

  3. Teaching Team • Teachers: • Cedar – Miss Rawlings • Chestnut – Miss Sefton Mrs Thomas • Oak – Miss Evans • Maple – Miss Rexworthy • TA support: • Mrs Fry (Y5 support) • Mrs Moorhead and Miss Hoare (Y6 Support)

  4. Website – pencil and paper policy this presentation

  5. Expectations Year 5 • Solve one step and two step problems involving whole numbers and decimals and all four operations, choosing and using appropriate calculation strategies • Use efficient written methods to add and subtract whole numbers and decimals up to 2 places. • Refine and use efficient written methods to multiply and divide up to HTU and decimal numbers

  6. Expectations Year 6 • Solve multi step problems and problems involving fractions, decimals and percentages; choose and use appropriate calculation strategies at each stage • Use efficient written methods to add and subtract whole numbers and decimals, to multiply and divide whole numbers and decimals. • These are a guide. • We work from your child’s maths skills • revisiting where needed • challenge where needed

  7. Addition • Using a range of resources • Counters, number lines, number squares • Blank number line for addition

  8. Addition: Partitioning 47 40 + 7 + 7670 + 6 __ 110 + 13 = 123

  9. Addition: Expanded method in columns h t u 47 47 + 76 + 76 __ 13 7+6 1 1070 + 40 1 23

  10. Addition: Expanded method in columns h t u 47 6 47 + 76 + 2 76 __ 13 7+6 1 10 70 + 40 800600 + 200 923

  11. Addition: Short 4 6 8 . 0 7 + 3 4 6 . 4 0 8 1 4 . 4 7 1 1 327.58 + 372.33 =

  12. +4 +2 18 20 24 Subtraction: Counting On • 24 – 18 = This is the same method people use in shops when counting out your change. e.g. You need to pay 65p. You give a £1 coin. They say ‘65…70….90…£1’. = 6 22.4 – 17.8 = = 4.6

  13. Subtraction – Expanded method 4 5 7 -2 4 8 40 400 50 7 -200 40 8 200 00 9 We would start by showing how to partition and calculate this using apparatus (e.g. hundreds, tens and units blocks). = 209

  14. Subtraction – Short Column method 743 – 367 = 600 130 6 ‘3 700 40 3 700 40 ‘3 7 4 ‘3 - 300 60 7 - 300 60 7 - 3 6 7 300 70 63 7 6 Video example

  15. Subtraction – Short Column method 147.03 – 73.29 = 9 6 1 0 1 1 4 7 . 0 3 1 4 7 . 0 3 - 7 3 . 2 9- 7 3 . 2 9 7 3 . 7 4 1 It is very important that each digit is kept in the correct column and the decimal points line up, one under the other.

  16. Multiplication (Written methods)

  17. There are 5 stages to written multiplication.

  18. MultiplicationStage 1: Recap Informal recording may look like this: 14 x 3 10 x 3 = 30 4 x 3 = 12 30+12 =42

  19. Multiplication Stage 2 An expanded method which uses a grid. It links directly to the mental method as an alternative way of recording the same steps. 38 x 7 = x 30 8 210 + 56 7 210 56 266

  20. Multiplication: Grid method 56 x 27 = x 50 6 1000 20 1000 120 120 7 350 42 350 + 42 1512

  21. Multiplication Stage 3: Expanded short T U 38 X 7 56 (7 x 8) 210 (7 x 30) 266

  22. Multiplication: Expanded method T U 56 x 27 42 (7 x 6) 350 (7 x 50) 120 (20 x 6) + 1000 (20 x 50) 1512

  23. Stage 4: Short multiplication The recording is reduced further, carrying digits below the line. T U 4 5 x 6 2 7 0 3

  24. If children make errors with carrying digits or adding in this way, we would then get them to return to the expanded method.

  25. Stage 5: two-digit by two-digit 56 x 27

  26. T U 5 6 x 2 7 3 9 2 + 1 1 2 0 1 5 1 2 1 34 x 23 = 4 1

  27. Division written methods

  28. Begin with practical examples - sharing (10 ÷ 2 =) 10 objects shared between 2 people grouping (10 ÷ 2= ) 10 objects grouped into groups of 2 Using multiplication knowledge (very important to think about division when practising times tables)

  29. Grouping using a number line 30 ÷ 6 =

  30. Repeated subtraction using a number line • 24 ÷ 6 =

  31. Division: Expanded method 86 ÷ 7 = 1 2 r 2 7 ) 8 6 - 7 0 (10 lots) 1 6 - 1 4(2 lots) 2 Multiples to use 7 14 21 28 35 42 49 56 63 70

  32. Division: Expanded method for HTU 292 ÷ 6 = 4 8 r 4 4/6 6 ) 2 9 2 - 2 4 0 (40 lots) 5 2 - 4 8(8 lots) 4 • Aiming for efficiency! Multiples to use 6 12 18 24 30 36 42 48 54 60

  33. Division: Short method 291 ÷ 3 0 9 7 3) 2 ²9 ²1 End of year 5/ year 6

  34. 657 ÷ 5 =

  35. Fractions Find 7/8 of 72 72 ÷ 8 = 9 9 x 7 = 63 Division/multiplication knowledge

  36. Three girls have a quarter of a cake. What fraction is left? ¼ x 3 = ¾ 1 - ¾ Or 4/4 – 3/4 = 1/4

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