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Published byCollin Sanders Modified over 8 years ago
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Written Calculations
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Due to changes in our assessment procedures, we have made a few alteration to our calculations policy.
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For a more able child to reach level 3 at Key Stage One now, they need to be introduced to some concepts at an earlier age.
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In Year 2, the majority of children will use number lines to add by counting on.
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2 22 +10 32 +3 35 Number Lines Partition 2 + 13=
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Children who are confident with this method may go on to be taught column addition.
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67 +24 19 Add units Add tens 1
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I Year 3 all children who are ready are taught column addition with carrying. This is continued through the juniors and later includes addition of decimals.
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In Year 2 the majority of children will use number lines for subtraction. They will use a ‘counting on’ approach.
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2 13 +2 20 +7 22 Number Lines 2 - 13= 9
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Children who are confident with the number line method will be introduced to column subtraction in Year 2.
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58 26 3 2 Column Subtraction - This moves onto decomposition when the children are ready.
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54 26 2 8 1 Decomposition - As you can see, the children need to have an understanding of place value before moving on to this. The teacher may use practical apparatus to demonstrate how the ‘exchanging’ works. 4
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In Year 3 all children who are ready will be taught the column method. This method continues to be taught throughout the juniors.
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Times Tables
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In Year 1 the most able children may begin to learn their 10x tables.
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By Year 2 all children will be learning their 10x tables. When they reach a secure level 2 they will also be introduced to the 2x and 5x tables.
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By the end of Year 4, the average child should be secure in the 2x, 3x, 4x, 5x, 6x and 10x tables.
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By early Year 6, the average child should be secure in all of the times tables up to 12x.
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Written multiplication methods
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Year 3
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In Year 3 the children will be introduced to an extended column method for multiplying TU x U. 2 3 X 5 1 5 1 0 0 1 1 5
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Year 4
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In Year 4 this will progress to the standard written method. 2 6 x 6 156 3
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Year 5 & 6
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In Year 5 the children are introduced to Long Multiplication. This is continued in Year 6.
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28 x46 681 4 02 3 11 8821 Long Multiplication Multiply U x U Multiply U x T Multiply T x U Multiply T x T
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Children working below level 3 in Maths learn about division through a variety of informal written methods. When a child reaches a secure level 3 they will be introduced to the standard short division method.
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Short Division 92 ÷ 6 692 1 1 0 1 3 1 2
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Year 6
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In Year 6 the children are taught the long division method enabling them to divide more easily by TU numbers.
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Long Division 2 ÷ 3 672 0 0 - 2 5 27 - 0 (20 x 36) (2 x 36) 72 7 796 39 2 81 2 8 1 0 (5 x 36) -
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For the children to be able to successfully grasp multiplication and division methods, it is essential that they have a good knowledge of times tables facts.
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Thank you for listening.
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