Solve multiplication problems by using a rounding and compensation method (tidy numbers) Begin to solve multiplication or division problems involving a 3 - – digit number by a 1-digit e.g. 5 x 19 5 x 20 and then subtract 5 100 5 = 95 5 x 21 5 x 20 and then add 5 100 + 5 = 105 number by a short written algorithm – see ‘Suggested Written Recording’ Children Solve division problems by using should be standard place value. presented with daily e.g. 92 ÷ 4 = (80 ÷4) + (12 ÷ 4) opportunities = 20 + 3 = 23 to solve a mix of calculations Solve division problems using known addition, subtraction and multiplication facts within the 2, 3, 4, 5 186 ÷ 3 = (180 ÷ 3) + (6 ÷ 3) in the form of = 60 + 2 = 62 and 10 times table. equations and E.g. word problems How many threes are there in 15? where children 15 ÷ 3 = 5 choose the Begin to solve division problems 5 threes makes 15 by using a rounding and strategy from How many equal sets of 3 makes 15 * and ** compensation method (tidy 15 – 3 – 3 – 3 – 3 – 3 = 0 numbers) and discuss 3 + 3 + 3 + 3 + 3 = 15 confidently the most efficient e.g. 248 ÷ 7 method How many 7s are there in 280? chosen. 7 x 40 = 280 280 – 248 = 42 42 ÷7 = 6 so 40 sevens subtract 7 sevens equals 33 sevens. Solve division problems by using a multiplication strategy and by using the inverse rule. Children Begin to split a number to should be reveal its factors to help solve a presented multiplication and division Represent multiplication/ division stories using a variety of ways, including story, pictorial, concrete and with daily problem abstract. e.g. opportunities e.g. Tommy arranged his 15 football trophies evenly on three shelves. How many trophies were on each shelf? to solve a mix 4 x 32 = 2 x 2 x 32 = 2 x 64 = 128 of calculations Fiona distributed 650 flyers for her new restaurant evenly amongst 13 streets. To how many houses did she deliver the in the form of 8 x 57 = 2 x 2 x 2 x 57 = 2 x 2 x
Solve multiplication problems by using a rounding and compensation method (tidy numbers) e.g. 5 x 19 5 x 20 and then subtract 5 100 – 5 = 95 5 x 21 5 x 20 and then add 5 100 + 5 = 105 Children should be presented with daily opportunities to solve a mix of calculations in the form of equations and word problems where children choose the strategy from * and ** and discuss confidently the most efficient method chosen. Begin to solve multiplication or division problems involving a 3 - digit number by a 1-digit number by a short written algorithm – see ‘Suggested Written Recording’ Solve division problems by using standard place value. e.g. 92 ÷ 4 = (80 ÷4) + (12 ÷ 4) = 20 + 3 = 23 186 ÷ 3 = (180 ÷ 3) + (6 ÷ 3) = 60 + 2 = 62 Solve division problems using known addition, subtraction and multiplication facts within the 2, 3, 4, 5 and 10 times table. E.g. How many threes are there in 15? 15 ÷ 3 = 5 5 threes makes 15 How many equal sets of 3 makes 15 15 – 3 – 3 – 3 – 3 – 3 = 0 3 + 3 + 3 + 3 + 3 = 15 Begin to solve division problems by using a rounding and compensation method (tidy numbers) e.g. 248 ÷ 7 How many 7s are there in 280? 7 x 40 = 280 280 – 248 = 42 42 ÷7 = 6 so 40 sevens subtract 7 sevens equals 33 sevens. Solve division problems by using a multiplication strategy and by using the inverse rule. Children should be presented with daily opportunities to solve a mix of calculations in the form of Begin to split a number to reveal its factors to help solve a multiplication and division problem e.g. 4 x 32 = 2 x 2 x 32 = 2 x 64 = 128 8 x 57 = 2 x 2 x 2 x 57 = 2 x 2 x Represent multiplication/ division stories using a variety of ways, including story, pictorial, concrete and abstract. e.g. Tommy arranged his 15 football trophies evenly on three shelves. How many trophies were on each shelf? Fiona distributed 650 flyers for her new restaurant evenly amongst 13 streets. To how many houses did she deliver the
highland-numeracy-progression-update-2017.docx