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Addition In this part of the mathematics programme, your child will be: doing adding calculations in their head without writing down any working. The calculations will be: addition involving 4 digit numbers e.g. 7650+3670 Using numbers in the 10 times table (10, 20, 30…these are called multiples of ten) and adding them to larger multiples of ten e.g. 7800+1400 doing adding calculations in their jotter or on paper. These calculations will include numbers with 4 or more digits. e.g. 5352 +3414 8766 It is important that your child writes down all the working. This working may be different from the way you were taught at school. If you are concerned ask the teacher and they will explain the methods your child is using. Here are some activities to try 1. Using number cards 0-9, turn over 4 cards and write down a whole number. Repeat and add the 2 whole numbers together mentally. 2. The activity above can also be carried out using playing cards. Second Level Stage 1 Addition Subtraction In this part of the mathematics programme, your child will be: doing subtraction calculations in their head, without writing down any working. The calculations will be: subtraction involving 4 digit numbers e.g. 9780-8790 Using numbers in the 10 times table (10, 20, 30…these are called multiples of ten) and subtracting them from larger multiples of ten e.g. 6600-3700 Doing subtraction calculations in their jotter or on paper. These calculations will involve numbers with 4 or more digits. e.g. 6452 - 3431 3021 It is important that your child writes down all the working. This working may be different from the way you were taught at school. If you are concerned ask the teacher and they will explain the methods your child is using. Here are some activities to try 1 2 Using number cards 0-9, turn over 4 cards and write down a whole number. Repeat and subtract the smaller number from the larger one. The activity above can also be carried out using playing cards. Second Level Stage 1 Subtraction Multiplication In this part of the mathematics programme, your child will be: Completing multiplication calculations in their head, without writing down any numbers – the calculations will be: o Using the 2 to 9 times tables e.g. 4 x 8 = 32 o Using numbers up to 999 and multiplying them by 10. e.g. 58 x 10 = 580 H 5 T U 5 8 8 0 o X 10 When multiplying by 10 all the figures move one place to the left. This is because they become 10 times bigger. Using numbers up to 999 and multiplying them by 100. e.g. 58 x 100 = 5800 TH 5 H 8 T U 5 8 0 0 X 100 When multiplying by 100 all the figures move two places to the left. This is because they become 100 times bigger. Multiplying whole numbers by multiples of 10 and 100. e.g. 30 x 6 = 180 First multiply the number in the tens column and then multiply this answer by ten as shown above. First multiply the number in the hundreds column and 300 6 = 1800 then multiply this answer by a hundred as shown above. 301 Completing multiplication calculations in their jotter. The calculations will use the numbers 0 to 99, and they will be multiplying them by the numbers 2 to 9. e.g. 64 X3 192 It is important that you child writes down all the working. This working may be different from the way you were taught at school. If you are concerned ask the teacher and they will explain the methods your child is using. 264 X3 792 It is important that you child writes down all the working. This working may be different from the way you were taught at school. If you are concerned ask the teacher and they will explain the methods your child is using. 1 e.g. 11 Developing strategies for multiplication such as partitioning. e.g. 34x6 30x6= 4x6= 180 + 24 204 Splitting up (partitioning) 2 digit numbers into tens and units, multiplying each and then adding the answers together. 1 Here are some activities to try Multiplication 1. Play ‘BINGO’ but instead of just calling the numbers, call them in the form of a mental times table calculations. 2. Ask your child to work out the cost of more than one of a given item at a shop e.g. 3 packets of crisps, 4 cans of juice. 3. Use square pieces of paper and create a matching game with the times table questions and answers. Play snap, pairs or dominoes with them. Second Level Stage 1 Multiplication Division In this part of the mathematics programme, your child will be: Completing division calculations in their head, without writing down any numbers – the calculations will be: o Using the 2 to 9 times tables e.g. 32 ÷ 8 = 4 o Using numbers up to 999 and dividing them by 10. e.g. H T U 5 8 0 5 8 ÷ 10 When dividing by 10, all the figures move one place to the right. This is because they become 10 times smaller. Completing division calculations in their jotter. The calculations will use the numbers 0 to 999, and they will be dividing them by the numbers 2 to 9. e.g. 2 2 2 3 4 6 4 9 5 1 It is important that you child writes down all the working. This working may be different from the way you were taught at school. If you are concerned ask the teacher and they will explain the methods your child is using. r1 9 Here are some activities to try Division 1. To show the relationship between multiplication and division, call out a variety of multiplication calculations and ask your child to respond with the corresponding division calculation. (Play bingo, snap, pairs etc. Using this method) Second Level Stage 1 Division Addition In this part of the mathematics programme, your child will be: doing adding calculations in their head without writing down any working. The sums will be: addition involving decimal numbers with more than one digit after the decimal point e.g. 3.92 + 8.43 addition involving monetary amounts e.g. £7.30 + £5.50 addition involving measurements e.g. 0.6kg + 3.7kg doing adding calculations in their jotter or on paper. These calculations will include decimal numbers with more than one digit after the decimal point. e.g. 13.21 +15.78 28.99 Here is an activity to try: It is important that your child writes down all the working. The decimal points must line up. This working may be different from the way you were taught at school. If you are concerned ask the teacher and they will explain the methods your child is using. 3. Look at a receipt from a recent shopping trip. Try adding some of the items together. Second Level Stage 2 Addition Subtraction In this part of the mathematics programme, your child will be: doing subtraction calculations in their head, without writing down any working. The calculations will be: subtraction involving decimal numbers with more than one digit after the decimal point e.g. 11 - 0.86 subtraction involving monetary amounts e.g. £8.40 - £1.80 subtraction involving measurements e.g. 7.7kg - 4.9kg Doing subtraction calculations in their jotter or on paper. These calculations will include decimal numbers with more than one digit after the decimal point. e.g. 7.48 - 6.35 1.13 It is important that your child writes down all the working. The decimal points must line up. This working may be different from the way you were taught at school. If you are concerned ask the teacher and they will explain the methods your child is using. Here are some activities to try: 1. Look at a receipt from a recent shopping trip. Try subtracting the price of some items from the total. 2. Give yourself a budget e.g. £20.00. Look up an item in a catalogue/leaflet and subtract it from your budget. Second Level Stage 2 Subtraction Multiplication In this part of the mathematics programme, your child will be: Completing multiplication calculations in their head, without writing down any numbers – the calculations will be: o Using the 2 to 9 times tables e.g. 4 x 8 = 32 Using numbers up to 999 and multiplying them by 100. o e.g. 58 x 100 = 5800 TH H 5 8 T U 5 8 0 0 X 100 When multiplying by 100 all the figures move two places to the left. This is because they become 100 times bigger. Using numbers up to 999 and multiplying them by 1000. o e.g. 58 x 1000 = 58000 TTH TH 5 H 8 0 T U 5 8 0 0 X 1000 When multiplying by 1000 all the figures move three places to the left. This is because they become 1000 times bigger. Multiplying whole numbers by multiples of 100 and 1000. e.g. 300 x 6 = 1800 First multiply the number in the hundreds column and then multiply this answer by a hundred as shown above. 3000 x 6 = 18000 Completing multiplication calculations in their jotter. The calculations will use the numbers 0 to 9999, and they will be multiplying them by the numbers 2 to 9. e.g. 264 X3 792 It is important that you child writes down all the working. This working may be different from the way you were taught at school. If you are concerned ask the teacher and they will explain the methods your child is using. 3264 X3 9792 It is important that you child writes down all the working. This working may be different from the way you were taught at school. If you are concerned ask the teacher and they will explain the methods your child is using. 1 e.g. 11 Multiplying decimals by a single digit whole number £ 4 2 · 4 5 · 9 2 0 x £ First multiply the number in the thousands column and then multiply this answer by a thousand as shown above. 8 4 1 4 2 8 x 4 · · 4 2 8 It is important that you child writes down all the working. This working may be different from the way you were taught at school. It is vital that your child keeps each digit and the decimal point is in the correct columns. If you are concerned ask the teacher and they will explain the methods your child is using. Here are some activities to try Multiplication 4. Play ‘BINGO’ but instead of just calling the numbers, call out a multiple of 10, 100 and 1000 (e.g. 82 x 100 = 8200) 5. Ask your child to work out the cost of more than one of a given item at a shop e.g. 3 packets of crisps, 4 cans of juice. Second Level Stage 2 Multiplication Division In this part of the mathematics programme, your child will be: Completing division calculations in their head, without writing down any numbers – the calculations will be: o Using the 2 to 9 times tables e.g. 32 ÷ 8 = 4 o Using numbers up to 9999 and dividing them by 10. e.g. 570 ÷ 10 H T U 5 7 0 5 7 ÷ 10 When dividing by 10, all the figures move one place to the right. This is because they become 10 times smaller. o Using numbers up to 9999 and dividing them by 100. e.g. 3600 ÷ 100 TH H T U 3 6 0 0 3 6 ÷ 100 When dividing by 100, all the figures move two places to the right. This is because they become 100 times smaller. o Using numbers up to 9999 and dividing them by 1000. e.g. 9000 ÷ 1000 TH H T U 9 0 0 0 ÷ 1000 9 Completing division calculations in their jotter. The calculations will use the numbers 0 to 9999, and they will be dividing them by the numbers 2 to 9. e.g. 2 3 4 4 6 8 2 4 9 8 5 1 1 2 3 When dividing by 1000, all the figures move three places to the right. This is because they become 1000 times smaller. 9 It is important that you child writes down all the working. This working may be different from the way you were taught at school. r1 If you are concerned ask the teacher and they will explain the methods your child is using. 7 Dividing decimals by a single digit whole number 1 5 9 4 1 2 7 9 · 9 · 2 7 It is important that you child writes down all the working. This working may be different from the way you were taught at school. It is vital that your child keeps each digit and the decimal point is in the correct columns. If you are concerned ask the teacher and they will explain the methods your child is using. Here are some activities to try Division 2. To show the relationship between multiplication and division, call out a variety of multiplication calculations and ask your child to respond with the corresponding division calculation. (Play bingo, snap, pairs etc. Using this method) 3. Play ‘BINGO’ but instead of just calling the numbers, call out a division by 10, 100 and 1000 (e.g. 9400 ÷ 10 = 940) Second Level Stage 2 Division Addition In this part of the mathematics programme, your child will be: doing adding calculations in their head without writing down any working. The sums will be: addition involving numbers with 4 or more digits e.g. 36000 + 15000 addition involving decimal numbers with more than one digit after the decimal point e.g. 3.92 + 8.43 addition involving monetary amounts e.g. £7.30 + £5.50 addition involving measurements e.g. 0.6kg + 3.7kg doing adding calculations in their jotter or on paper. These calculations will include decimals of varying decimal places. e.g. 6.02 + 1.8 4.06 11.88 It is important that your child writes down all the working. The decimal points must line up. This working may be different from the way you were taught at school. If you are concerned ask the teacher and they will explain the methods your child is using. Here is an activity to try: 4. Look at a receipt from a recent shopping trip. Try adding some of the items together. Second Level Stage 3 Addition Subtraction In this part of the mathematics programme, your child will be: doing adding calculations in their head without writing down any working. The sums will be: Subtraction involving numbers with 4 or more digits e.g. 17000 - 9400 Subtraction involving decimal numbers with more than one digit after the decimal point e.g. 4.85 – 2.50 Subtraction involving monetary amounts e.g. A gym membership usually costs £118. Tom gets a discount of £55. How much does he pay? Subtraction involving measurements e.g. 73.5kg – 12.2kg doing subtraction calculations in their jotter or on paper. These calculations will include decimals of varying decimal places. It is important that your child writes down all the e.g. 20.00 working. The decimal points must line up. This - 1.84 working may be different from the way you were 18.16 taught at school. If you are concerned ask the teacher and they will explain the methods your child is using. Here are some activities to try: 1. Look at a receipt from a recent shopping trip. Try subtracting the price of some items from the total. 2. Give yourself a budget e.g. £20.00. Look up an item in a catalogue/leaflet and subtract it from your budget. Second Level Stage 3 Subtraction Multiplication In this part of the mathematics programme, your child will be: Completing multiplication calculations in their head, without writing down any numbers – the calculations will be: o Using the 2 to 9 times tables e.g. 4 x 8 = 32 Multiplying whole numbers by multiples of 100 and 1000. e.g. 300 x 6 = 1800 First multiply the number in the hundreds column and then multiply this answer by a hundred as shown above. 3000 x 6 = 18000 First multiply the number in the thousands column and then multiply this answer by a thousand as shown above. Completing multiplication calculations in their jotter. The calculations will use the numbers 0 to 9999, and they will be multiplying them by the numbers 2 to 9. e.g. It is important that you child writes down all the working. This working may be different from the way you were taught at school. If you are concerned ask the teacher and they will explain the methods your child is using. 3264 X3 9792 11 Multiplying decimals by a single digit whole number e.g. £ 4 2 · 4 5 · 9 2 0 x £ 8 4 4 2 · x 8 4 · 1 It is important that you child writes down all the working. This working may be different from the way you were taught at school. 4 2 8 It is vital that your child keeps each digit and the decimal point is in the correct columns. If you are concerned ask the teacher and they will explain the methods your child is using. Multiplying decimals by 10, 100 and 1000 e.g. 5·8 x 10 = 58·0 T 5 U · t 5 · 8 8 · 0 When multiplying by 10 all the figures move one place to the left. This is because they become 10 times bigger. The figure in the tenths column jumps over the decimal point to become a unit. X 10 e.g. 5·8 x 100 = 580·0 H T 5 8 U · t 5 · 8 0 · 0 X 100 When multiplying by 100 all the figures move two places to the left. This is because they become 100 times bigger. e.g. 5·8 x 1000 = 5800·0 TH 5 H 8 T 0 U · t 5 · 8 0 · 0 Second Level Stage 3 Multiplication X 1000 When multiplying by 1000 all the figures move three places to the left. This is because they become 1000 times bigger. Division In this part of the mathematics programme, your child will be: Completing division calculations in their head, without writing down any numbers – the calculations will be: o Using whole numbers and decimals and dividing them by 10. e.g. 58·6 ÷ 10 T U · t 5 8 · 6 5 · 8 h When dividing by 10, all the figures move one place to the right. This is because they become 10 times smaller. ÷ 10 6 o Using whole numbers and decimals and dividing them by 100. e.g. 678 ÷ 100 6 T U · t 7 8 · 0 6 · 7 h ÷ 100 8 When dividing by 100, all the figures move two places to the right. This is because they become 100 times smaller. o Using whole numbers and decimals and dividing them by 1000. e.g. 9140 ÷ 1000 TH H T U · 9 1 4 0 · 9 · t h ÷ 1000 1 4 When dividing by 1000, all the figures move three places to the right. This is because they become 1000 times smaller. Completing division calculations in their jotter. The calculations will use any number (with or without a decimal,) and they will be dividing them by the numbers 2 to 9. These answers will not have a remainder; instead, children will become familiar with using a decimal fraction as the remainder e.g. 1 1 6 · 2 5 4 6 25 · 1 2 4 3 0 0 It is important that you child writes down all the working. This working may be different from the way you were taught at school. If you are concerned ask the teacher and they Dividing decimals by a single digit whole number will explain the methods your child is using. 1 5 9 4 1 2 7 9 · 9 · 2 7 Refer to the school’s website for a variety of interactive maths games to help in these areas. Second Level Stage 3 Division