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St. Bartholomew’s C of E Primary School Parents Guide to maths + x Quit Addition Subtraction Select an operation to become a maths wizard! Multiplication Division ÷ *Only click when prompted to ensure all steps are seen. Back to menu Select a stage! ⋆ Addition - Stage 1 ⋆ Addition - Stage 2 ⋆ Addition - Stage 3 Zap a stage! ⋆ Addition - Stage 4 Back to menu Select a stage! ⋆ Subtraction - Stage 1 ⋆ Subtraction - Stage 2 Zap a stage! ⋆ Subtraction - Stage 3 ⋆ Subtraction - Stage 4 Back to menu Select a stage! ⋆ Multiplication - Stage 1 ⋆ Multiplication - Stage 2 Zap a stage! ⋆ Multiplication - Stage 3 ⋆ Multiplication - Stage 4 Back to menu Select a stage! ⋆ Division - Stage 1 ⋆ Division - Stage 2 ⋆ Division - Stage 3 Zap a stage! ⋆ Division - Stage 4 Back to menu + Addition ~ Watch and Learn! Stage 1: slide 1 TU + U Put the largest number first + Then count on in units 24 + 3 = +1 +1 +1 ______________________________ 24 25 26 27 Select a stage. So 24 + 3 = 27 See TU+ TU Back to menu + Addition ~ Watch and Learn! + Stage 1: slide 1 TU + TU Begin by drawing a number line starting with the biggest number 22 + 33 = ______________________________ 33 Next Back to menu + Addition ~ Watch and Learn! + Stage 1: slide 2 TU + TU T Add 2 tens first 22 + 33 = +10 +10 ______________________________ 33 43 53 Next Back to menu + Addition ~ Watch and Learn! + Stage 1- slide 3 U Then add 2 units 22 + 33 = +10 +10 +1 +1 ______________________________ 33 43 53 54 55 Select a stage. So 22 + 33 is 55 See HTU+ HTU Back to menu + Addition ~ Watch and Learn! Stage 1: Slide 1 HTU+ HTU Add in steps of 100 first then the tens. + Then add away the tens. Then the units. 347 + 123 = 347 ______________________________ +100 +20 +3 447 467 470 Select a stage. Place the largest number at the beginning of the line. So 347 + 123 = 470 Back to menu + Addition ~ Watch and Learn! + Stage 2: slide 1 TU + TU Start by partitioning the tens and the units. TU TU 36 + 43 = (30+6) +(40+ 3) 30 + 40 6 + 3 Next Back to menu + Addition ~ Watch and Learn! + Stage 2: slide 2 TU + TU Add the tens together and then the units. 36 + 43 = (30+6) + (40+ 3) 30 + 40 = 70 6 + 3 = 9 Select a stage. 70 + 9 = 79 So 36 + 43 is 79 See HTU+ HTU Back to menu + Addition ~ Watch and Learn! + Stage 2: Slide 1 HTU + HTU 236 + 343 = (200+ 30+6) + (300 + 40+ 3) 200 + 300 = 500 30 + 40 = 70 6 + 3 = 9 Select a stage. 500 + 70 + Add the hundreds together and then the tens and units. 9 = 579 So 236 + 343 is 579 Back to menu + Addition ~ Watch and Learn! + Stage 3: slide 1 TU+ TU 47 + 76 = Write the numbers so that the Tens and the Units are in line. TU 47 + 76 Next Back to menu + Addition ~ Watch and Learn! + Stage 3:slide 2 TU + TU 47 + 76 = U 47 + 76 Start by adding the the units. 7+6= 13 Next Back to menu + Addition ~ Watch and Learn! + Stage 3:slide 3 TU + TU 47 + 76 = T 47 + 76 Then add the tens. 40 + 70 = 13 110 Next Back to menu + Addition ~ Watch and Learn! + Stage 3: slide 4 TU + TU 47 + 76 = 47 + 76 Select a stage. 13 + 110 123 Now add these together 110 + 13 = So 47 + 76 is 123 HTU + HTU Back to menu + Addition ~ Watch and Learn! + Stage 3: slide 1 HTU + HTU 247 + 176 = 247 + 176 Select a stage. 13 + 110 300 423 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. So 247 + 176 is 423 Back to menu + Addition ~ Watch and Learn! + Stage 4: slide 1 TU + TU 47 + 76 = Next Write the numbers so that the Tens and the Units are in line. TU 47 + 76 Back to menu + Addition ~ Watch and Learn! + Stage 4: slide 2 TU + TU 47 + 36 = Exchange 10 units for 1 ten. This goes onto the door step. U 47 + 36 1 3 Now add the units 7 + 6 = 13 3 units go in the units column Next Back to menu + Addition ~ Watch and Learn! + Stage 4: slide 3 TU + TU 47 + 36 = T 47 Now add the tens 40 + 30 = 70 + 36 1 83 Select a stage. You need to put the ten digit in the tens column Remember there is one ten here to add too. 7 tens + 1 ten = 8 tens So 47 + 36 is 83 See HTU + HTU Back to menu + Addition ~ Watch and Learn! + Stage 4: Slide 1 HTU + HTU Carry any units over 9, 147 + 186 = 147 + 186 11 333 Select a stage. 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 So 147 + 186 is 333 Back to menu - Subtraction ~ Watch and Learn! Stage 1: slide 1 TU-U 32 - 3 = Count back the correct amount of units e.g. 3 units = 3 jumps of 1 . Remember to count back in 1’s 32 -1 -1 -1 ______________________________ 29 30 31 Select a stage. So 32-3 = 29 See TU-TU Place the largest number at the end of the line. Back to menu - Subtraction ~ Watch and Learn! - Stage 1:slide 1 TU - TU Then take away in jumps of 1. 3 units equal 3 jumps. Take away in steps of 10 first as this is easier. 23 = 2 tens. 47 - 23 = 24 -1 -1 -1 -10 -10 47 ______________________________ 25 26 27 37 Select a stage. Place the largest number at the end of the line. So 47 – 23 = 24 See HTU-HTU Back to menu - Subtraction ~ Watch and Learn! Stage 1: slide 1 HTU-HTU Then take away the tens. Then the units. 347 - 123 = Take away in steps of 100 first as this is easier. 123 = 1 jump of 100. 347 -100 -3 -20 ______________________________ 224 227 247 Select a stage. Place the largest number at the end of the line. So 347 – 123 = 224 Back to menu - Subtraction ~ Watch and Learn! - Stage 2: slide 1 TU -TU Start by partitioning the tens and the units. TU TU 89 - 43 = 89 – 40 - 3 Next Back to menu - Subtraction ~ Watch and Learn! Stage 2: slide 2 TU -TU Subtract the tens first. Then subtract the units from your first answer. 89 – 43 = 89 – 40 - 3 89 - 40 = 49 49 – 3 = 46 Select a stage. So 89 - 43 is 46 See HTU-HTU Back to menu - Subtraction ~ Watch and Learn! - Stage 2: slide 1 HTU - HTU 489 – 243 = 489 – 200 -40 - 3 489 - 200 = 289 289 – 40 = 249 Select a stage. Subtract the hundreds first. Then subtract the then tens from your first answer. Then the units 249 – 3 = 246 So 289 - 243 is 246 Back to menu - Subtraction ~ Watch and Learn! Stage 3 :slide 1 563 - 241 = 500 + 60 + 3 Partition 563 into hundreds, tens and units. - 200 + 40 + 1 Repeat with 241 Next Back to menu - Subtraction ~ Watch and Learn! Stage 3: slide 2 563 - 241 = H T U 500 + 60 + 3 - 200 + 40 + 1 300 + 20 + 2 Start with the units 3–1=2 Next, subtract the hundreds 500 – 200 = 300 Next Next, subtract the tens 60 – 40 = 20 Back to menu - Subtraction ~ Watch and Learn! Stage 3: slide 3 563 - 241 = 500 + 60 + 3 Add the answers together - 200 + 40 + 1 - 300 200 + 20 + 2 = 322 300 + 20 + 2 = 322 Select a stage. So 563 - 241 = 322 Back to menu - Subtraction ~ Watch and Learn! Stage 4: slide 1 Decomposition 137 - 85 = HTU 137 Write the numbers so that they are in place value position. - 85 Next Back to menu - Subtraction ~ Watch and Learn! Stage 4: slide 2 137 - 85 = The tens column now has 130 in it and the hundred has 0. Next 0 1 1 3 7 - 8 5 2 Cross out the hundred and leave a 0 above. The 100 is put in the tens as a 1. Subtract the units first. 7 – 5 = And write under the units. The tens can’t be subtracted as 30 – 80 = - 50 Borrow 1 hundred from the hundred column. Back to menu - Subtraction ~ Watch and Learn! Stage 4: slide 3 137 - 85 = There are 0 hundreds to subtract. 0 1 1 3 7 - 8 5 5 2 Select a stage. Now solve 130 – 80 and write the answer. So 137 - 85 = 52 Back to menu x Multiplication ~ Watch and Learn! x Stage1:slide 1 Partition the 14 into 2 parts, tens and units. 14 x 5 = = 10 x 5 = 4 x 5 Next Back to menu x Multiplication ~ Watch and Learn! x Stage 1: slide 2 14 x 5 = 10 x 5 = 50 4 x 5 = 20 Select a stage. Now add 50 + 20 and write the answer. So 14 x 5 = 70 Back to menu x Multiplication ~ Watch and Learn! x Stage 2: slide 1 Grid Method 10 16 x 4 = 4 6 Partition 16 into 1 ten and 6 units Draw a box two across and one down because you are multiplying a 2 digit number by a 1 digit number. Next Back to menu x Multiplication ~ Watch and Learn! x Stage 2: slide 2 16 x 4 = x 4 10 40 The answer to 10 x 4 goes here. Select a stage. The answer to 4 x 6 goes here. 6 24 Now add these answers together. 40 + 24 = So 16 x 4 = 64 See TU x TU See HTU x U Back to menu x Multiplication ~ Watch and Learn! x TU x TU slide 1 56 x 27 = 20 Partition 56 into 5 tens and 6 units 7 Partition 27 into 2 tens and 7 units 50 6 Next Back to menu x Multiplication ~ Watch and Learn! x TU x TU slide 2 56 x 27 = The answer to 50 x 20 goes here. The answer to 6 x 20 goes here. x 20 7 50 1000 350 6 120 42 The answer to 50 x 7 goes here. The answer to 6 x 7 goes here Next Back to menu x Multiplication ~ Watch and Learn! x TU x TU slide 3 56 x 27 = Select a stage. x 20 7 50 1000 350 6 120 42 Add these four numbers together. 1000 + 350 + 120 + 42 = Children can use the addition methods to help them add. So 56 x 27 = 1512 See HTU x U Back to menu x Multiplication ~ Watch and Learn! x HTU x U slide 1 Partition 126 into 1 hundred, 126 x 4 = 2 tens and 6 units 100 20 6 4 Next Back to menu x Multiplication ~ Watch and Learn! x HTU x U slide 2 126 x 4 = Partition 126 into 100, 20 and 6 100 The answer to 4 4 x 100 goes here. 400 20 80 6 The answer to 6 x 4 goes here. 24 The answer to 20 x 4 goes here Next Back to menu x Multiplication ~ Watch and Learn! x HTU x U slide 3 126 x 4 = 100 4 400 20 80 6 24 Add 400 + 80 + 24 Select a stage. So 126 x 4 = 504 See TU x TU Back to menu 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. TU 38 x 7 Next Back to menu x Multiplication ~ Watch and Learn! x Stage 3: slide 2 38 x 7 = 38 Multiply the units by 7 7 x 8 = 56 x 7 56 Next 210 Multiply the tens by 7 7 x 30 = 210 Back to menu x Multiplication ~ Watch and Learn! x Stage 3:slide 3 38 x 7 = 38 x 7 56 210 266 Select a stage. Now add these two answers together. 56 + 210. So 38 x 7 = 266 See TU x TU Back to menu x Multiplication ~ Watch and Learn! x TU x TU slide 1 TU 15 x 24 = Set the sum out like this so that the numbers are in the correct columns. 15 x 24 Next Back to menu x Multiplication ~ Watch and Learn! x TU x TU slide 2 15 x 24 = 15 X 24 Multiply by the units 4 x 5 = 20 and 4 x 10 = 40 20 Next 40 Back to menu x Multiplication ~ Watch and Learn! x TU x TU slide 3 15 x 24 = 15 X 24 Next 20 40 100 200 Multiply by tens 20 x 5 = 100 and 20 x 10 = 200 Back to menu x Multiplication ~ Watch and Learn! x TU x TU slide 4 15 x 24 = Select a stage. 15 X 24 20 40 100 200 Now add these numbers together. 360 So 15 x 24 = 360 Back to menu 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. TU 38 x 7 Next Back to menu x Multiplication ~ Watch and Learn! x Stage 4: slide 2 38 x 7 = 38 x 57 6 Next Now multiply 7 x 8 = 56 and write the units and carry the tens onto the door step Back to menu x Multiplication ~ Watch and Learn! x Stage 4: slide 3 38 x 7 = 38 x 7 2 5 66 Next 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 Back to menu x Multiplication ~ Watch and Learn! x Stage 4: slide 4 38 38 x 7 = x 7 2 5 2 66 Now put the hundreds into the answer Select a stage. So 38 x 7 = 266 See TUxTU Back to menu x Multiplication ~ Watch and Learn! x Set out as shown. TU x TU – Zero the Hero First multiply 38 x 27 = Nb. Each number is considered as a unit in this calculation to make it easier. eg. 30 is 3 and 20 is 2. 7 x 8 = 56. 38 Carry the 5 tens and record the 6. x 27 Then 7 x 3 = 21 plus the 5 = 26 (record) 1 5 2 66 760 Next place Zero the Hero into the units column. Now 2 x 8 = 16 Next Carry the 1 and record the 6. Now 2 x 3 = 6 and add to the 1 carry Back to menu x Multiplication ~ Watch and Learn! x TU x TU – Zero the Hero 38 38 x 27 = Nb. Each number is considered as a unit in this calculation to make it easier. eg. 30 is 3 and 20 is 2. Finally add 266 and 760. x 27 1 5 2 66 760 1 1 Select a stage. 10 2 6 So 38 x 27 = 1026 Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 1: slide 1 Repeated subtraction Write the number to divide at the end of a number line. 24 ÷ 3 = 0 -3 -3 3 Select a stage. -3 6 -3 9 -3 12 15 Now count the number of jumps. 8 jumps So 24 ÷ 3 = 8 -3 18 -3 -3 21 24 Jump back in 3s (the divider) until no more can be taken. See remainders Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 1: slide 2 Repeated subtraction Write the number to divide at the end of a number line. 25 ÷ 3 = 0 -1 -3 1 -3 4 Select a stage. -3 7 -3 10 -3 13 Now count the number of jumps. 8 jumps. You are left with 1 -3 16 So 24 ÷ 3 = 8 r 1 19 -3 22 25 Jump back in 3s (the divider) until no more can be taken or you reach See Partitioning Back to menu ÷ Division ~ Watch and Learn! ÷ Stage1:slide 3 Partition the 63 into 2 parts, tens and units. 63 ÷ 3 = = 60 ÷ 3 = 3 ÷ 3 Next Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 1: slide 2 63 ÷ 3 = 60 ÷ 3 3 ÷ 3 = 20 Now add 20 + 1 and write the answer. = 1 Select a stage. So 63 ÷ 3 = 21 Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 2: slide 1- chunking Two ways to set out 63 ÷ 3 = or 3 63 Next Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 2: slide 2 63 ÷ 3 = 21 21 3 30 + 30 + 3 = 63 so we have taken all chunks possible. 63 30 (3 x 10) 30 3 (3 x 10) (3 x 1) Children will look for chunks. First take chunks (multiples) of 10,then 5 and then single units until you have the divided number - 63 Add the chunks. 10 + 10 + 1 = 21 Select a stage. So 63 ÷ 3 = 21 Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 3: slide 1– Long division 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. Next 33 6 198 - 180 (6 x 30) 18 - 18 (6 x 3) 0 Children will look for chunks. Try to use multiples of 10, 20, 30 etc to remove the largest possible multiple of 6. 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 So 198 ÷ 6 = 33 Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 3: slide 2 With remainders HTU ÷ TU 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. 23 r 8 24 560 - 480 (24 x 20) 80 - 72 (24 x 3) 8 Select a stage. So 560 ÷ 24 = 23 r 8 Children will look for chunks. Try to use multiples of 10, 20, 30 etc to remove the largest possible multiple of 24. 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 Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 4: slide 1 short division 81 ÷ 3 = 27 2 8 1 3 Regard each digit on its own. Work from left to right. Mental Working •How many 3’s are in 8? •2 with 2 remaining. •Record the 2 above the line. Then carry the remaining 2 over. •Record the 2 next to the one making 21. Next •How many 3’s in 21 = 7. Record above the 21. So 81 ÷ 3 = 27 Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 4: slide 2 ~ With remainders 224 ÷ 12 = Mental Working 01 8 r 8 12 2 10 2 2 4 Regard each digit on its own. Work from left to right. •How many 12s are in 2? •0 with 2 remaining. •Record the 0 above the line. Then carry the remaining 2 over. •Record the 2 next to the two making 22. Next •How many 12s in 22 = 1 – Record above the 22. •Carry the 10 and record how many 12s in 104. •Record the 8 and remember the 8 remaining. So 224 ÷ 12 = 18 r8 Back to menu ÷ Division ~ Watch and Learn! ÷ Stage 4: slide 3 ~ With decimals 250 ÷ 4 = Mental Working 4 •How many 4s are in 2? 06 2. 5 2 1 2 2 5 0. 0 •0 with 2 remaining. •Record the 0 above the line. Then carry the remaining 2 over making 25. •How many 4s in 25 = 6 with 1 remainder. Record above the 25. •Carry the 1 and record how many 4s in 10 = 2 with 2 remaining. •Now add a decimal point and carry the 2 Select a stage. making 20. •How many 4s in 20 = 5. Record above •Only record to a maximum of 2 decimal places. So 250 ÷ 4 = 62.5 Back to menu