Numeracy link 3 = addition and subtraction

Addition and Subtraction

Addition and subtraction are two of the core operations of mathematics.  Of the two topics, subtraction can be more difficult, as it is not merely the opposite of addition.  Subtraction can mean a number of different things - taking away, finding the difference or even adding on.

The emphasis through the primary years is to teach mental techniques first, before moving onto informal written recording and finally the more formal written methods when a child is able to use a wide range of mental strategies. 

For a summary of the progression in addition and subtraction from Reception to Year 6, please click on the document links below:

I have written a summary of the progression throughout the year groups for each operation as this type of document appeared on quite a few other websites which had good numeracy info..... I have crossed referenced these to the policies you sent me so hopefully they have all the steps in the correct years.  They are in Word, so if you could just double check them for me then I can edit them again if necessary.

Addition document:
Subtraction document:


Videos you may find useful:
(I found some videos on You Tube that might be useful as a starting point when making our own - links below)


How to add and subtract using objects:
(like the ones on Wroughton's site but showing both operations on same video?)
http://www.wroughton.swindon.sch.uk/ParentsArea08.html

How to use a number line:
(like the ones on Wroughton's site but consolidated into one video?)

How to use a hundred square to add and subtract:
(example on Wroughton's site)

An explanation of partitioning and the expanded method of addition:

Compact column method of addition:


An explanation of decompositon and the expanded method of subtraction:
(also has the empty numberline counting on method as an alternative option)

Compact column method of subtraction with decomposition:


Links to worksheets and games you may find useful:
Number line practise http://nrich.maths.org/5652/index?nomenu=1
KS1 addition and subtraction games from ICT Games  http://ictgames.com/resources.html
KS1 BBC BiteSize games  http://www.bbc.co.uk/schools/ks1bitesize/numeracy/ 
KS2 BBC BiteSize games  http://www.bbc.co.uk/schools/ks2bitesize/maths/number/
KS1 addition and subtraction games from Top Marks   http://www.topmarks.co.uk/EducationalGames.aspx?cat=8
KS2 addition and subtraction games from Top Marks  http://www.topmarks.co.uk/EducationalGames.aspx?cat=17
Try the Ambleweb addition machine  http://www.amblesideprimary.com/ambleweb/mentalmaths/additiontest.html
Addition games from Whizz (all year groups)  http://www.whizz.com/maths/addition/games/
Subtraction games from Whiz (all year groups)  http://www.whizz.com/maths/subtraction/games/