Children will continue to use empty number lines with increasingly large numbers and begin by adding to the nearest milestone number. 38 + 186 = 124 Start with the bigger one of the two numbers to be added: 186 190 120 124 Children will begin to use compensation where appropriate 38 + 186 = 124 Start with the bigger one of the two numbers to be added: 186 124 126 Children will begin to use informal pencil and paper methods to support record and explain mental methods building on existing strategies. Stage 5 - Partitioning Record mental methods using partitioning 56 + 37 = 56 +30 + 7 = 86 + 7 = 93 Leading to:- 236 + 78 = 47 + 76 = 200 + 30 + 6 40 + 7 + 70 + 8 + 70 + 6 200 + 100 + 14 = 314 110 + 13 = 123 Stage 6 Addition –Column Expanded method Move on to a layout showing the addition of the tens to the tens and the units to the units separately. As children gain confidence, ask them to adopt the strategy of always adding the units digits first. Adding the units first: Adding the units first: 247 The addition of the tens in the +68 calculations described in the 15 words plus seventy equals ‘forty one hundred and ten’ and 100 ‘sixty plus forty equals one hundred’ 200 stressing the link to place value.
Children will continue to use empty number lines with increasingly large numbers and begin by adding to the nearest milestone number. 38 + 186 = 124 Start with the bigger one of the two numbers to be added: 186 190 120 124 Children will begin to use compensation where appropriate 38 + 186 = 124 Start with the bigger one of the two numbers to be added: 186 124 126 Children will begin to use informal pencil and paper methods to support record and explain mental methods building on existing strategies. Stage 5 - Partitioning Record mental methods using partitioning 56 + 37 = 56 +30 + 7 = 86 + 7 = 93 Leading to:- 47 + 76 = 40 + 7 + 70 + 6 110 + 13 = 123 236 + 78 = 200 + 30 + 6 + 70 + 8 200 + 100 + 14 = 314 Stage 6 –Column Addition Expanded method Move on to a layout showing the addition of the tens to the tens and the units to the units separately. As children gain confidence, ask them to adopt the strategy of always adding the units digits first. Adding the units first: The addition of the tens in the calculations described in the words ‘forty plus seventy equals one hundred and ten’ and ‘sixty plus forty equals one hundred’ stressing the link to place value. Adding the units first: 247 +68 15 100 200
MPS-Maths-Calculation-Policy-2014.docx