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Wave 3 mathematics pilot

Errors and misconceptions: Year 2 Addition and subtraction

Introduction

Errors and misconceptions

Year 6
Addition and subtraction
Multiplication and division

Year 4
Addition and subtraction
Multiplication and division

Year 2
Addition and subtraction
Multiplication and division

Reception
Addition and subtraction
Multiplication and division

Tracking charts




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Understand that subtraction is the inverse of addition; state the subtraction corresponding to a given addition and vice versa (NNS Framework for teaching mathematics, Supplement of examples, Section 5, pages 25, 29, 35)

Associated knowledge and skills

Errors and misconceptions

Tracking charts

Teaching sequences and spotlights

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Count on and back in ones and tens.

Makes mistakes when counting using teen numbers and/or crossing boundaries.

tracking chart

pdf download1 Y2
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pdf download1 Y2
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download1 Y2

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Identify pairs of numbers that add to twenty and use known number facts to add mentally.

Has difficulty in remembering number pairs totalling between ten and twenty, resulting in calculation errors.

tracking chart

pdf download2 Y2
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pdf download2 Y2
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download2 Y2

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Find a difference by counting up from the smaller to the larger number.

Counts up unreliably; still counting the smaller number to get one too many in the answer.

tracking chart

pdf download3 Y2
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pdf download3 Y2
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download3 Y2

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Recognise subtraction as taking away, finding the difference and complementary addition.

Does not relate finding a difference and complementary addition to the operation of subtraction.

tracking chart

pdf download4 Y2
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pdf download4 Y2
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download4 Y2

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Recognise, for example, that subtracting 13 'undoes' adding 13 and vice versa, and that this means that since 4 + 13 = 17, we can state the inverse that 17 - 13 = 4.

Is insecure in making links between addition and subtraction and/or recognising inverses.

tracking chart

pdf download5 Y2
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pdf download5 Y2
word 
download5 Y2

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Develop and recognise patterns to help deduce other addition and subtraction facts.

Does not readily use number patterns to support calculating, for example:
46 - 5 = 41, so
46 - 15 = 31,
46 - 25 = 21, etc.

tracking chart

pdf download6 Y2
black and white 
pdf download6 Y2
word 
download6 Y2



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