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 Solve division problems by partitioning using place value. e.g. 186 ÷ 3 = (180 ÷ 3) + (6 ÷ 3) Children = 60 + 2 should be = 62 Solve division problems using known addition, subtraction and multiplication facts within the 2, 3, 4, 5 presented and 10 times table. with daily E.g. opportunities How many threes are there in 15? to solve a mix Begin to solve division problems 15 ÷ 3 = 5 of calculations by using a rounding and 5 threes makes 15 in the form of compensation method (tidy How many equal sets of 3 makes 15 equations and numbers) 15 – 3 – 3 – 3 – 3 – 3 = 0 word problems 3 + 3 + 3 + 3 + 3 = 15 where children e.g. 248 ÷ 7 choose the How many 7s are there in 280? strategy from 7 x 40 = 280 * and ** 280 – 248 = 42 and discuss 42 ÷7 = 6 so 40 sevens subtract 7 confidently the sevens equals 33 sevens. most efficient method chosen.
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 Solve division problems by partitioning using place value. e.g. 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.
highland-numeracy-progression-update-sep-2017.docx