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Slide 2 Welcome to our Mathematics Evening Please take a seat Slide 3 First of all 10 questions whiteboards ready! Slide 4 What is 207 minus 134? What is 207 subtract 134? Can you decrease 207 by 134? What is 134 less than 207? What is the difference between 207 and 134? Slide 5 What is the remainder when 134 blocks are removed from a pile containing 207? I have 207 and spend 134, how much do I have left? I had 207 books and lost 134 of them, how many does this leave? What is 207 take away 134? From 134 how many more to make 207? Slide 6 Subtraction Vocabulary You have just seen 10 different ways of asking the question 207-134 There are other pieces of subtraction vocabulary as well The answer was 73 You dont always see the word subtraction when you have to subtract. Slide 7 This evening we aim to Take an in depth look at subtraction. By Showing you how the children need to develop their subtraction skills through the year groups and levels. Looking at the non-mental methods we teach and the order in which we teach them. Showing you which mental maths facts are crucial to each stage. Slide 8 Why are we doing this? From your feedback after last years calculation night, more parents commented that they felt less comfortable practising subtraction with their children than addition. Also pupils (not just our pupils, pupils nationally) find subtraction harder than addition for any two given numbers. Slide 9 How do the childrens subtraction skills progress? Slide 10 Level 1 Understand subtraction as take away. Use practical and informal methods to subtract a one digit number from a one digit or two digit number 8-5= 7-3= 15-6 = 23 8 = Subtract a multiple of 10 from any 2 digit number 43-10= 67-10= 56-10= Find the difference by counting up Begin to recognise the inverse 10-4 =6 6+4 = 10 Solve simple one-step problems Record calculations using number sentences that include the appropriate symbols Slide 11 The story of 5 teddy bears Once there were 5 teddy bears 12345 Slide 12 1 fell off the shelf then there were 4 Slide 13 5 -1 = 4 1234 Slide 14 10 2 =8 Slide 15 10 3 =7 Slide 16 Finding the difference between 2 numbers Slide 17 1 2 7 6 5 4 3 1 2 The difference is 5. The red tower has 5 more blocks What is the difference between 2 and 7? Slide 18 12634510987 1234 What is the difference between 4 and 10? The difference is 6 There are 6 more yellow blocks Slide 19 12345678910 11121314151617181920 21222324252627282930 31323334353637383940 41424344454647484950 51525354555657585960 61626364656667686970 71727374757677787980 81828384858687888990 919293949596979899 100 Slide 20 Level 1 Count backwards from any number to 20 Say the number that is one less than any number to 20 Count back in 10s Know by heart subtraction facts for numbers up to 5 Recognise that subtraction has to be done in a particular order Calculate by taking away objects or by counting back on number line Find the difference by counting on Write number sentences using symbols Use objects, pictures and number sentences to answer a problem Answer subtraction calculations using known facts Understand and use words that link to subtraction Slide 21 Break for Mental Work You are about to participate in a Year 1 Mental and Oral Starter (this usually lasts for around ten minutes at the beginning of every maths lesson, throughout school) which will help you with the skills needed for subtraction later! You will need your number fans By Miss Chapman Slide 22 Year 2 Subtract mentally a one digit number or a multiple of 10 from any two digit number Use practical and informal written methods to subtract two digit numbers Derive and recall all addition and subtraction facts for each number to 10 Recognise subtraction as the inverse of addition Slide 23 Level 2 Count back in equal steps of 2, 5 and 10 Partition numbers to 100 beyond Derive and recall all addition and subtraction facts for each number to at least 10, all pairs with totals to 20 and all pairs of multiples of 10 with totals up to 100 Subtract by partitioning 56-6 Subtract 10 from a two digit number Subtract a multiple of 10 from a two digit number Subtract by counting back or finding the difference by counting on Subtract the nearest multiple of 10 and adjust Partition the number to be subtracted 43-23 Choose how to solve a problem and explain the method Record working out for subtraction problem Understand the relationship between subtraction and addition. Say the subtraction that matches an addition sentence visa versa Explain how they know to use subtraction to solve a problem Slide 24 Inverse Addition is the inverse of subtraction. Answers can be checked by using the inverse operation. We can solve missing number problems by using the inverse method. 25 19 = 6 19+6 =25 6+19 = 25 Slide 25 Can you turn these addition number sentences into subtractions? 6+2=8 9+7=16 23+41=64 39+22=61 8 2 = 6 16-7 = 9 64- 23 = 41 61-39=22 Can you make a different subtraction? Slide 26 This method can be used to check answers. 9+4=13 Check an answer by turning it into a subtraction 13-4=9 or 13-9= 4 Slide 27 Solve a missing number problem +7=15 Slide 28 The children use the numbers they have been given! +7=15 It is an addition, so start at the end and turn it into a subtraction 15-7= 8 8 Slide 29 Subtract the nearest multiple of 10 and adjust 52 9 = Slide 30 534 2 First subtract ten. But thats one too many, so now add one back. Now youve subtracted 9 from 52 by subtracting ten then adding 1 back. Subtract the nearest multiple of 10 and adjust Slide 31 12345678910 11121314151617181920 21222324252627282930 31323334353637383940 41424344454647484950 51525354555657585960 61626364656667686970 71727374757677787980 81828384858687888990 919293949596979899 100 Slide 32 Subtraction Level 2 Using a blank number line to solve calculations and problems. Also known as finding the difference. 74-27= Slide 33 53 25 = Lets find the difference! +5+10 10+10= 20 28 2530405350 +3 5 + 3= 8 53 Slide 34 Try these 76 43 102 84 302 - 153 Use number line method. Start at the lowest number. Add on to the next multiple of ten. Then add to the ten below the final number. Then add on to the final number. Remember to COUNT ON NOT BACK Try it with decimals, it can become complicated. Slide 35 SUBTRACTION Mental Facts are Crucial Number line method - Must know (not be able to work out but know) your number bonds to ten 4+6=? as well as 7+?=10 and 1+?=10 Because you always add upto the next multiple of ten - You also need to know which multiple of ten comes next. e.g. 60 is the next multiple of ten after 54 - You need to be able to add ten and small multiples of ten. Slide 36 Number Line Method Some pupils continue to use it into L3, 4, 5 Can become very complicated depending how efficiently it is used (especially with decimals) We dont discourage pupils from using it if they are using it properly. Slide 37 2 nd break for Mental Work This Mental and Oral Starter helps develop place value. By Mrs Asvadi Slide 38 Level 3 Expectations Subtract a two digit number from another (mentally) Subtract a three digit number from another (written) Subtract an amount of money from another (written) To solve 1 or 2 step problems where these calculations are needed Slide 39 Level 3 Understand the value of each digit in a 3 digit number Partition to 100 beyond simple tens and ones e.g. 54 = 40+14 or 30+24 Know by heart subtraction facts for numbers up to 20 Subtract 2 digit numbers using an efficient method Record the steps of subtraction method Check answer using inverse Use subtraction to solve problems Slide 40 Expanded decomposition As the children progress through level 3 AND have a thorough understanding of place value and partitioning, we start to teach them the more standard methods Slide 41 Try these 765 543 402 284 3092 - 1534 Use the expanded decomposition method. Slide 42 SUBTRACTION Mental Facts are still Crucial Expanded Decomposition Method Must be know the subtraction facts 9-413-617-6and others Must be able to subtract a tens number from another (upto 200) 80-30120-40170-90and others Must be able to subtract a hundreds number from another 400-200800-200300-200and others Slide 43 Subtraction compact decomposition Efficient for all subtractions. Can get messy if performing a calculation like 2004 - 997 Slide 44 Try these 765 543 402 284 3092 - 1534 14.16 12.95Use the compact decomposition method. 62.2 35.95 Slide 45 SUBTRACTION Mental Facts are Crucial Compact Decomposition Method Must be know the subtraction facts to twenty 9-413-617-6and others Must understand that in the example below they are really subtracting 30 from 70 and not 3 from 7 (even though they really are subtracting 3 from 7!) Slide 46 Subtraction compact decomposition PROs and CONs You never have to do a subtraction that is harder than 18-9 You must understand your place value for the method to have any relevance to you or real life You must know your number facts upto 20 10 (any number to twenty subtract any number upto ten) Can become messy when you have a thousands number on the top. Slide 47 To subtract thousands numbers To subtract decimals to 2 decimal places To use subtraction as a part of wider problem solving To solve 1 or 2 step problems where these calculations are needed (From L4 onwards the method must be efficient) Level 4 Expectations Slide 48 Level 5 Expectations To subtract one decimal from another, where the decimals do not have the same number of digits 12.1 8.4531.98 2.34519 4.8 To solve two or more step problems with these calculations. Slide 49 Which method is best? Slide 50 Actually it depends on the question asked! Knowledge of number facts (addition and subtraction) underpins all calculations, no matter how large or involved (i.e. decimals) the numbers are. Slide 51 Thank you for taking part We hope it has been useful This PowerPoint will be placed on the school