2. Back to menu - St. Bartholomew’s C of E Primary School Parents Guide to maths + ÷ x Quit Multiplication AdditionSubtraction Division *Only click when prompted to ensure all steps are seen. Select an operation to become a maths wizard!

3. Back to menu Select a stage! ⋆ Addition - Stage 1 ⋆ Addition - Stage 2 ⋆ Addition - Stage 3 ⋆ Addition - Stage 4 Zap a stage!

4. Back to menu Select a stage! ⋆ Subtraction - Stage 1 ⋆ Subtraction - Stage 2 ⋆ Subtraction - Stage 3 ⋆ Subtraction - Stage 4 Zap a stage!

5. Back to menu Select a stage! ⋆ Multiplication - Stage 1 ⋆ Multiplication - Stage 2 ⋆ Multiplication - Stage 3 ⋆ Multiplication - Stage 4 Zap a stage!

6. Back to menu Select a stage! ⋆ Division - Stage 1 ⋆ Division - Stage 2 ⋆ Division - Stage 3 ⋆ Division - Stage 4 Zap a stage!

7. Back to menu + Addition ~ Watch and Learn! + Stage 1: slide 1 TU + U ______________________________ +1 2425 26 24 + 3 = +1 So 24 + 3 = 27 Put the largest number first +1 Then count on in units 27 Select a stage. See TU+ TU

8. Back to menu Begin by drawing a number line starting with the biggest number + Addition ~ Watch and Learn! + Stage 1: slide 1 TU + TU 22 + 33 = ______________________________ Next 33

9. Back to menu + Addition ~ Watch and Learn! + Stage 1: slide 2 TU + TU 22 + 33 = ______________________________ Next 33 +10 4353 Add 2 tens first T

10. Back to menu + Addition ~ Watch and Learn! + Stage 1- slide 3 22 + 33 = ______________________________ 33 +10 +1 43555453 Then add 2 units U So 22 + 33 is 55 55 Select a stage. See HTU+ HTU

11. Back to menu + Addition ~ Watch and Learn! + Stage 1: Slide 1 HTU+ HTU ______________________________ +100347 447 467 347 + 123 = +20 So 347 + 123 = 470 Add in steps of 100 first then the tens. +3 Then add away the tens. Then the units. Place the largest number at the beginning of the line. 470 Select a stage.

12. Back to menu + Addition ~ Watch and Learn! + Stage 2: slide 1 TU + TU 36 + 43 = (30+6) +(40+ 3) Start by partitioning the tens and the units. TU TU 30 + 40 6 + 3 Next

13. Back to menu 36 + 43 = (30+6) + (40+ 3) 30 + 40 = 70 6 + 3 = 9 Add the tens together and then the units. + Addition ~ Watch and Learn! + Stage 2: slide 2 TU + TU 70 + 9= 79 So 36 + 43 is 79 Select a stage. See HTU+ HTU

14. Back to menu 236 + 343 = (200+ 30+6) + (300 + 40+ 3) 200 + 300 = 500 30 + 40 = 70 6 + 3 = 9 Add the hundreds together and then the tens and units. + Addition ~ Watch and Learn! + Stage 2: Slide 1 HTU + HTU 500 + 70 + 9= 579 So 236 + 343 is 579 Select a stage.

15. Back to menu 47 + 76 = Next + Addition ~ Watch and Learn! + Stage 3: slide 1 TU+ TU Write the numbers so that the Tens and the Units are in line. T U 47 + 76

16. Back to menu 47 + 76 Start by adding the the units. 7 + 6 = U 13 Next Stage 3:slide 2 TU + TU + Addition ~ Watch and Learn! + 47 + 76 =

17. Back to menu 47 + 76 Next Stage 3:slide 3 TU + TU + Addition ~ Watch and Learn! + 110 Then add the tens. 40 + 70 = T 13 47 + 76 =

18. Back to menu 110 47 + 76 Stage 3: slide 4 TU + TU + Addition ~ Watch and Learn! + 13 123 Now add these together 110 + 13 = + So 47 + 76 is 123 47 + 76 = HTU + HTU Select a stage.

19. Back to menu + Addition ~ Watch and Learn! + Stage 3: slide 1 HTU + HTU 247 + 176 = 110 247 + 176 13 423 Set out as before. Add the units and tens as before and record. The extra step, add the hundreds together 200 + 100 = 300 Then add the numbers. + 300 So 247 + 176 is 423 Select a stage.

20. Back to menu 47 + 76 = Next + Addition ~ Watch and Learn! + Stage 4: slide 1 TU + TU 47 + 76 Write the numbers so that the Tens and the Units are in line. T U

21. Back to menu 47 + 36 = + Addition ~ Watch and Learn! + Stage 4: slide 2 TU + TU 47 + 36 Now add the units 7 + 6 = 13 U 3 units go in the units column 3 1 Next Exchange 10 units for 1 ten. This goes onto the door step.

22. Back to menu 47 + 36 = + Addition ~ Watch and Learn! + Stage 4: slide 3 TU + TU 3 1 Now add the tens 40 + 30 = 70 T Remember there is one ten here to add too. 7 tens + 1 ten = 8 tens You need to put the ten digit in the tens column 8 47 + 36 So 47 + 36 is 83 Select a stage. See HTU + HTU

23. Back to menu 147 + 186 = + Addition ~ Watch and Learn! + Stage 4: Slide 1 HTU + HTU 1 3 147 + 186 So 147 + 186 is 333 Select a stage. Carry any units over 9, any tens over 90. Remember to add the carry! 7 + 6 = 13 carry the ten 40 + 80 + 10 = 130 carry the hundred 100 + 100 + 100 = 300 1 33

24. Back to menu - Subtraction ~ Watch and Learn! - Stage 1: slide 1 TU-U ______________________________ 32 3130 32 - 3 = So 32-3 = 29 Remember to count back in 1’s Count back the correct amount of units e.g. 3 units = 3 jumps of 1. Place the largest number at the end of the line. 29 Select a stage. See TU-TU

25. Back to menu - Subtraction ~ Watch and Learn! - Stage 1:slide 1 TU - TU ______________________________ -1047 3727 47 - 23 = -10 So 47 – 23 = 24 Take away in steps of 10 first as this is easier. 23 = 2 tens. 2625 24 Then take away in jumps of 1. 3 units equal 3 jumps. Place the largest number at the end of the line. 24 Select a stage. See HTU-HTU

26. Back to menu - Subtraction ~ Watch and Learn! - Stage 1: slide 1 HTU-HTU ______________________________ -100 347 247227 347 - 123 = -20 So 347 – 123 = 224 Take away in steps of 100 first as this is easier. 123 = 1 jump of 100. -3 Then take away the tens. Then the units. Place the largest number at the end of the line. 224 Select a stage.

27. Back to menu - Subtraction ~ Watch and Learn! - Stage 2: slide 1 TU -TU 89 - 43 = 89 – 40 - 3 Start by partitioning the tens and the units. TU TU Next

28. Back to menu 89 – 43 = 89 – 40 - 3 89 - 40 = 49 49 – 3 = 46 Subtract the tens first. Then subtract the units from your first answer. - Subtraction ~ Watch and Learn!- - Subtraction ~ Watch and Learn! - Stage 2: slide 2 TU -TU So 89 - 43 is 46 Select a stage. See HTU-HTU

29. Back to menu 489 – 243 = 489 – 200 -40 - 3 489 - 200 = 289 249 – 3 = 246 Subtract the hundreds first. Then subtract the then tens from your first answer. Then the units - Subtraction ~ Watch and Learn! - Stage 2: slide 1 HTU - HTU So 289 - 243 is 246 Select a stage. 289 – 40 = 249

30. Back to menu 563 - 241 = Next - Subtraction ~ Watch and Learn! - Stage 3 :slide 1 500 + 60 + 3 - 200 + 40 + 1 Repeat with 241 Partition 563 into hundreds, tens and units.

31. Back to menu + 20 +300 Next, subtract the tens 60 – 40 = 20 563 - 241 = Next - Subtraction ~ Watch and Learn! - Stage 3: slide 2 500 + 60 + 3 - 200 + 40 + 1 Start with the units 3 – 1 = 2 2 UHT Next, subtract the hundreds 500 – 200 = 300

32. Back to menu - Subtraction ~ Watch and Learn! - Stage 3: slide 3 Add the answers together 300 + 20 + 2 = 322 - 200 + 20 + 2300 563 - 241 = 500 + 60 + 3 - 200 + 40 + 1 2 20 = 322 So 563 - 241 = 322 Select a stage.

33. Back to menu Next - Subtraction ~ Watch and Learn! - Stage 4: slide 1 Decomposition 137 - 85 = Write the numbers so that they are in place value position. 137 - 85 H T U

34. Back to menu Next - Subtraction ~ Watch and Learn! - Stage 4: slide 2 137 - 85 = 1 3 7 - 8 5 Subtract the units first. 7 – 5 = And write under the units. 2 The tens can’t be subtracted as 30 – 80 = - 50 Borrow 1 hundred from the hundred column. 0 1 Cross out the hundred and leave a 0 above. The 100 is put in the tens as a 1. The tens column now has 130 in it and the hundred has 0.

35. Back to menu - Subtraction ~ Watch and Learn! - Stage 4: slide 3 So 137 - 85 = 52 Now solve 130 – 80 and write the answer. There are 0 hundreds to subtract. 1 3 7 - 8 5 2 0 1 5 137 - 85 = Select a stage.

36. Back to menu x Multiplication ~ Watch and Learn! x Stage1:slide 1 = 4 x 5 = 10 x 5 14 x 5 = Next Partition the 14 into 2 parts, tens and units.

37. Back to menu x Multiplication ~ Watch and Learn! x Stage 1: slide 2 So 14 x 5 = 70 4 x 5 10 x 5 14 x 5 = = 50 = 20 Now add 50 + 20 and write the answer. Select a stage.

38. Back to menu Draw a box two across and one down because you are multiplying a 2 digit number by a 1 digit number. x Multiplication ~ Watch and Learn! x Stage 2: slide 1 Grid Method 16 x 4 = Next 106 4 Partition 16 into 1 ten and 6 units

39. Back to menu The answer to 10 x 4 goes here. x Multiplication ~ Watch and Learn! x Stage 2: slide 2 16 x 4 = 106 4 The answer to 4 x 6 goes here. x 4024 Now add these answers together. 40 + 24 = So 16 x 4 = 64 See TU x TU See HTU x U Select a stage.

40. Back to menu Partition 56 into 5 tens and 6 units x Multiplication ~ Watch and Learn! x TU x TU slide 1 56 x 27 = Next 207 6 50 Partition 27 into 2 tens and 7 units

41. Back to menu The answer to 50 x 20 goes here. The answer to 6 x 20 goes here. x Multiplication ~ Watch and Learn! x TU x TU slide 2 56 x 27 = 207 6 50 The answer to 50 x 7 goes here. 1000 350 The answer to 6 x 7 goes here Next x 12042

42. Back to menu x Multiplication ~ Watch and Learn! x TU x TU slide 3 56 x 27 = 207 6 50 Add these four numbers together. 1000 + 350 + 120 + 42 = Children can use the addition methods to help them add. 1000 350 x 12042 So 56 x 27 = 1512 See HTU x U Select a stage.

43. Back to menu x Multiplication ~ Watch and Learn! x HTU x U slide 1 126 x 4 = Next 10020 4 Partition 126 into 1 hundred, 2 tens and 6 units 6

44. Back to menu x Multiplication ~ Watch and Learn! x HTU x U slide 2 126 x 4 = Next 10020 4 Partition 126 into 100, 20 and 6 6 4008024 The answer to 4 x 100 goes here. The answer to 20 x 4 goes here The answer to 6 x 4 goes here.

45. Back to menu x Multiplication ~ Watch and Learn! x HTU x U slide 3 126 x 4 = 10020 4 6 4008024 Add 400 + 80 + 24 So 126 x 4 = 504 See TU x TU Select a stage.

46. Back to menu 38 x 7 = x Multiplication ~ Watch and Learn! x Stage 3: slide 1 38 x 7 Set the sum out like this so that the numbers are in the correct columns. T U Next

47. Back to menu 38 x 7 = Next x Multiplication ~ Watch and Learn! x Stage 3: slide 2 38 x 7 56 210 Multiply the tens by 7 7 x 30 = 210 Multiply the units by 7 7 x 8 = 56

48. Back to menu 38 x 7 = x Multiplication ~ Watch and Learn! x Stage 3:slide 3 38 x 7 56 210 266 Now add these two answers together. 56 + 210. So 38 x 7 = 266 See TU x TU Select a stage.

49. Back to menu 15 x 24 = x Multiplication ~ Watch and Learn! x TU x TU slide 1 15 x 24 Set the sum out like this so that the numbers are in the correct columns. T U Next

50. Back to menu 15 x 24 = Next x Multiplication ~ Watch and Learn! x TU x TU slide 2 X 24 20 40 Multiply by the units 4 x 5 = 20 and 4 x 10 = 40 15

51. Back to menu 15 x 24 = Next x Multiplication ~ Watch and Learn! x TU x TU slide 3 X 24 20 40 Multiply by tens 20 x 5 = 100 and 20 x 10 = 200 15 100 200

52. Back to menu 15 x 24 = x Multiplication ~ Watch and Learn! x TU x TU slide 4 Now add these numbers together. So 15 x 24 = 360 X 24 20 40 15 100 200 360 Select a stage.

53. Back to menu 38 x 7 = Next x Multiplication ~ Watch and Learn! x Stage 4: slide 1 38 x 7 Set the sum out like this so that the numbers are in the correct columns. T U

54. Back to menu 38 x 7 = Next x Multiplication ~ Watch and Learn! x Stage 4: slide 2 38 x 7 Now multiply 7 x 8 = 56 and write the units and carry the tens onto the door step 6 5

55. Back to menu 38 x 7 = Next x Multiplication ~ Watch and Learn! x Stage 4: slide 3 38 x 7 Now multiply 7 x 30= 210 and add the 5 tens to the 210 and which gives 260 write this, carrying the two hundreds onto the door step 6 5 6 2

56. Back to menu 38 x 7 = x Multiplication ~ Watch and Learn! x Stage 4: slide 4 38 x 7 Now put the hundreds into the answer 6 5 6 2 2 So 38 x 7 = 266 Select a stage. See TUxTU

57. Back to menu 38 x 27 = x Multiplication ~ Watch and Learn! x TU x TU – Zero the Hero 38 x 27 6 5 6 0 2 Set out as shown. First multiply 7 x 8 = 56. Carry the 5 tens and record the 6. Then 7 x 3 = 21 plus the 5 = 26 (record) Next place Zero the Hero into the units column. Now 2 x 8 = 16 Carry the 1 and record the 6. Now 2 x 3 = 6 and add to the 1 carry Nb. Each number is considered as a unit in this calculation to make it easier. eg. 30 is 3 and 20 is 2. 1 67 Next

58. Back to menu 38 x 27 = 38 x 27 6 5 6 0 2 Nb. Each number is considered as a unit in this calculation to make it easier. eg. 30 is 3 and 20 is 2. 1 67 x Multiplication ~ Watch and Learn! x TU x TU – Zero the Hero Finally add 266 and 760. 6201 So 38 x 27 = 1026 11 Select a stage.

59. Back to menu How many 6s make 30? Well I know that 2 x 6 = 12 Stage 1: slide 1 Repeated subtraction 24 ÷ 3 = 0 Jump back in 3s (the divider) until no more can be taken. 24 18 21 ÷ Division ~ Watch and Learn! ÷ Write the number to divide at the end of a number line. 1512963 -3 Now count the number of jumps. 8 jumps So 24 ÷ 3 = 8 -3 Select a stage. See remainders

60. Back to menu How many 6s make 30? Well I know that 2 x 6 = 12 Stage 1: slide 2 Repeated subtraction 25 ÷ 3 = 1 Jump back in 3s (the divider) until no more can be taken or you reach 25 1922 ÷ Division ~ Watch and Learn! ÷ Write the number to divide at the end of a number line. 161310 7 4 -3 Now count the number of jumps. 8 jumps. You are left with 1 So 24 ÷ 3 = 8 r 1 -3 Select a stage. 0 See Partitioning

61. Back to menu ÷ Division ~ Watch and Learn! ÷ Stage1:slide 3 = 3 ÷ 3 = 60 ÷ 3 63 ÷ 3 = Next Partition the 63 into 2 parts, tens and units.

62. Back to menu Stage 1: slide 2 So 63 ÷ 3 = 21 3 ÷ 3 60 ÷ 3 63 ÷ 3 = = 20 = 1 Now add 20 + 1 and write the answer. Select a stage. ÷ Division ~ Watch and Learn! ÷

63. Back to menu 63 ÷ 3 = Next ÷ Division ~ Watch and Learn! ÷ 3 63 Stage 2: slide 1- chunking Two ways to set out or

64. Back to menu Children will look for chunks. First take chunks (multiples) of 10,then 5 and then single units until you have the divided number - 63 63 ÷ 3 = ÷ Division ~ Watch and Learn! ÷ 3 63 30 + 30 + 3 = 63 so we have taken all chunks possible. Stage 2: slide 2 30 (3 x 10) 3 (3 x 1) Add the chunks. 10 + 10 + 1 = 21 So 63 ÷ 3 = 21 21 Select a stage.

65. Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 3: slide 1– Long division Next So 198 ÷ 6 = 33 6 198 Children will look for chunks. Try to use multiples of 10, 20, 30 etc to remove the largest possible multiple of 6. (6 x 30)- 180 Record the chunk in brackets and put the answer underneath the original number. Subtract the chunk from the divided number. Then look for more chunks. 18 - 18(6 x 3) 0 Once all chunks have been taken and 0 or a remainder is left, show the answer at the top by adding the chunks. 30 + 3 = 33 33

66. Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 3: slide 2 With remainders HTU ÷ TU So 560 ÷ 24 = 23 r 8 24 560 Children will look for chunks. Try to use multiples of 10, 20, 30 etc to remove the largest possible multiple of 24. (24 x 20)- 480 Record the chunk in brackets and put the answer underneath the original number. Subtract the chunk from the divided number. Then look for more chunks. 80 - 72(24 x 3) 8 Once all chunks have been taken and 0 or a remainder is left, show the answer at the top by adding the chunks. There is not enough to make another 24 so there is a remainder of 8. 20 + 3 = 23 r 8 23 r 8 Select a stage.

67. Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 4: slide 1 short division 3 8 1 Regard each digit on its own. Work from left to right. How many 3’s are in 8? Mental Working 2 with 2 remaining. Record the 2 above the line. Then carry the remaining 2 over. 2 2 Record the 2 next to the one making 21. How many 3’s in 21 = 7. Record above the 21. 7 So 81 ÷ 3 = 27 81 ÷ 3 = Next

68. Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 4: slide 2 ~ With remainders 12 2 2 4 Regard each digit on its own. Work from left to right. How many 12s are in 2? Mental Working 0 with 2 remaining. Record the 0 above the line. Then carry the remaining 2 over. 0 2 Record the 2 next to the two making 22. How many 12s in 22 = 1 – Record above the 22. 1 So 224 ÷ 12 = 18 r8 224 ÷ 12 = 10 8 r 8 Carry the 10 and record how many 12s in 104. Record the 8 and remember the 8 remaining. Next

69. Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 4: slide 3 ~ With decimals 4 2 5 0 How many 4s are in 2? Mental Working 0 with 2 remaining. Record the 0 above the line. Then carry the remaining 2 over making 25. 0 2 How many 4s in 25 = 6 with 1 remainder. Record above the 25. 6 So 250 ÷ 4 = 62.5 250 ÷ 4 = 1 2 Carry the 1 and record how many 4s in 10 = 2 with 2 remaining. Now add a decimal point and carry the 2 making 20. Select a stage.. 0. 5 2 How many 4s in 20 = 5. Record above Only record to a maximum of 2 decimal places.