About cookies

The NCETM site uses cookies. Read more about our privacy policy

Please agree to accept our cookies. If you continue to use the site, we'll assume you're happy to accept them.


Personal Learning Login

Sign Up | Forgotten password?
Register with the NCETM

1.5 Additive structures: introduction to aggregation and partitioning

Created on 31 July 2017 by ncetm_administrator
Updated on 26 November 2018 by ncetm_administrator


Progress to the use of abstract notation (+, − and =) as a way of representing the part–part–whole structure.


Teaching points

  • Teaching point 1: combining two or more parts to make a whole is called aggregation; the addition symbol, +, can be used to represent aggregation.
  • Teaching point 2: The equals symbol, =, can be used to show equivalence between the whole and the sum of the parts.
  • Teaching point 3: Each addend represents a part, and these are combined to form the whole/sum; we can find the value of the whole by adding the parts. We can represent problems with missing parts using an addition equation with a missing addend.
  • Teaching point 4: Breaking a whole down into two or more parts is called partitioning; the subtraction symbol, −, can be used to represent partitioning.





Comment on this item  
Add to your NCETM favourites
Remove from your NCETM favourites
Add a note on this item
Recommend to a friend
Comment on this item
Send to printer
Request a reminder of this item
Cancel a reminder of this item


If you have any comments please contact us.