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Wave 3 mathematics pilot

Errors and misconceptions: Year 4 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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Carry out column addition and subtraction of two integers less than 1000, and column addition of more than two such integers (NNS Framework for teaching mathematics, Supplement of examples, Section 6, pages 48, 50)

Associated knowledge and skills

Errors and misconceptions

Tracking charts

Teaching sequences and spotlights

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Know the value of each digit in a three-digit number, for example that the 3 in 437 has a value of 30.

Recognise the significance of each digit in numbers up to 1000 and find an estimate of the addition or subtraction.

Has insecure understanding of the structure of the number system, resulting in addition and subtraction errors and difficulty with estimating.

tracking chart

pdf download1 Y4
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pdf download1 Y4
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download1 Y4

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Partition two- and three-digit numbers in a number of ways.

Has difficulty in partitioning, for example, 208 into 190 and 18 and 31 into 20 and 11.

tracking chart

pdf download2 Y4
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pdf download2 Y4
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download2 Y4

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Know when it is most appropriate to use column addition or subtraction rather than carrying out the calculation by another method.

Does not make sensible decisions about when to use calculations laid out in columns.

tracking chart

pdf download3 Y4
black and white 
pdf download3 Y4
word 
download3 Y4

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Recognise that the operation of column addition can apply to more than two numbers.

Has difficulty with adding three numbers in a column, except by adding the first two and then the last one.

tracking chart

pdf download4 Y4
black and white 
pdf download4 Y4
word 
download4 Y4



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