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Back to menu - Rickleton Primary School Calculation Policy + ÷ x Quit Multiplication AdditionSubtraction Division *Only click when prompted to ensure.

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Presentation on theme: "Back to menu - Rickleton Primary School Calculation Policy + ÷ x Quit Multiplication AdditionSubtraction Division *Only click when prompted to ensure."— Presentation transcript:

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2 Back to menu - Rickleton Primary School Calculation Policy + ÷ 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! Pre-Written Methods

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

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

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

7 Back to menu Begin by drawing a number line starting with the biggest number + Addition ~ Watch and Learn! + Stage 1 ~ = ______________________________ Next 33

8 Back to menu + Addition ~ Watch and Learn! + Stage 1 ~ = ______________________________ Next Add 2 tens first T

9 Back to menu + Addition ~ Watch and Learn! + Stage 1 ~ = ______________________________ Then add 2 units U So is Select a stage.

10 Back to menu + Addition ~ Watch and Learn! + Stage 2 ~ = Start by partitioning the tens and the units. TU TU Next

11 Back to menu = = = 9 Add the tens together and then the units. + Addition ~ Watch and Learn! + Stage 2 ~ = 79 So is 79 Select a stage.

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

13 Back to menu Start by adding the the units = U 13 Next Stage 3 ~ 2 + Addition ~ Watch and Learn! =

14 Back to menu Next Stage 3 ~ 3 + Addition ~ Watch and Learn! Then add the tens = T =

15 Back to menu Stage 3 ~ 4 + Addition ~ Watch and Learn! Now add these together = + So is = HTU + HTU Select a stage.

16 Back to menu + Addition ~ Watch and Learn! + HTU + HTU = Set out as before. Add the units and tens as before and record. The extra step, add the hundreds together = 300 Then add the numbers So is 423 Select a stage.

17 Back to menu = Next + Addition ~ Watch and Learn! + Stage 4 ~ Write the numbers so that the Tens and the Units are in line. T U

18 Back to menu = + Addition ~ Watch and Learn! + Stage 4 ~ Now add the units = 13 U 3 units go in the units column = 13 Next Exchange 10 units for 1 ten. This goes under in the tens column

19 Back to menu = + Addition ~ Watch and Learn! + Stage 4 ~ Now add the tens = 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 So is 83 Select a stage. See HTU + HTU

20 Back to menu = + Addition ~ Watch and Learn! + HTU + HTU So is 333 Select a stage. Carry any units over 9, any tens over 90. Remember to add the carry! = 13 carry the ten = 130 carry the hundred =

21 Back to menu - Subtraction ~ Watch and Learn! - Stage 1 ~ 1 ______________________________ = -10 So 47 – 23 = 24 Take away in steps of 10 first as this is easier. 23 = 2 tens 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

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

23 Back to menu - Subtraction ~ Watch and Learn! - Stage 2 ~ 1 taking away by counting up = Write the numbers so that the Tens and the Units are in line. T U Start at 35 add 5 to make 40. Then add suitable numbers to reach (40) +30 (70) +4 (74) Add the numbers together. 39 So is 39 Select a stage.

24 Back to menu = Next - Subtraction ~ Watch and Learn! - Stage 3 ~ Repeat with 241 Partition 563 into hundreds, tens and units.

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

26 Back to menu - Subtraction ~ Watch and Learn! - Stage 3 ~ 3 Add the answers together = = = 322 So = 322 Select a stage.

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

28 Back to menu Next - Subtraction ~ Watch and Learn! - Stage 4 ~ = 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.

29 Back to menu - Subtraction ~ Watch and Learn! - Stage 4 ~ 3 So = 52 Now solve 130 – 80 and write the answer. There are 0 hundreds to subtract = Select a stage.

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

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

32 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 ~ 1 16 x 4 = Next Partition 16 into 1 ten and 6 units

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

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

35 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 ~ 2 56 x 27 = The answer to 50 x 7 goes here The answer to 6 x 7 goes here Next x 12042

36 Back to menu x Multiplication ~ Watch and Learn! x TU x TU ~ 3 56 x 27 = Add these four numbers together = Children can use the addition methods to help them add x So 56 x 27 = 1512 See HTU x U Select a stage.

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

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

39 Back to menu x Multiplication ~ Watch and Learn! x HTU x U ~ x 4 = Add So 126 x 4 = 504 See TU x TU Select a stage.

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

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

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

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

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

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

46 Back to menu 15 x 24 = x Multiplication ~ Watch and Learn! x TU x TU ~ 4 Now add these numbers together. So 15 x 24 = 360 X Select a stage.

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

48 Back to menu 38 x 7 = Next x Multiplication ~ Watch and Learn! x Stage 4 ~ 2 38 x 7 Now multiply 7 x 8 = 56 and write the units and carry the tens underneath. 6 5

49 Back to menu 38 x 7 = Next x Multiplication ~ Watch and Learn! x Stage 4 ~ 3 38 x 7 Now multiply 7 x 30= 210 and add the 5 tens to the 10 and write this and carry the hundreds underneath

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

51 Back to menu 38 x 27 = x Multiplication ~ Watch and Learn! x TU x TU – Magic 0 38 x 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 the magic 0 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 Next

52 Back to menu 38 x 27 = 38 x Nb. Each number is considered as a unit in this calculation to make it easier. eg. 30 is 3 and 20 is x Multiplication ~ Watch and Learn! x TU x TU – Magic 0 Finally add 266 and Select a stage. So 38 x 27 =

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

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

55 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 ÷ 3 = ÷ Division ~ Watch and Learn! ÷ = 63 so we have taken all chunks possible. Stage 2 ~ 2 30 (3 x 10) 3 (3 x 1) Add the chunks = 21 So 63 ÷ 3 = Select a stage.

56 Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 3 ~ 1 – Long division Next So 198 ÷ 6 = 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 (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 = 33 33

57 Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 3 ~ 2 With remainders HTU ÷ TU So 560 ÷ 24 = 23 r 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 (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 = 23 r 8 23 r 8 Select a stage.

58 Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 4 ~ 1 short division 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 So 81 ÷ 3 = ÷ 3 = Next

59 Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 4 ~ With remainders Regard each digit on its own. Work from left to right. How many 12’s 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 12’s in 22 = 1 – Record above the So 224 ÷ 12 = 18 r8 224 ÷ 12 = 10 8 r 8 Carry the 10 and record how many 12’s in 104. Record the 8 and remember the 8 remaining. Next

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


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