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

1.11 Addition and subtraction: bridging 10

Created on 15 January 2018 by ncetm_administrator
Updated on 26 November 2018 by ncetm_administrator


Apply the aggregation and augmentation structures of addition to three single-digit numbers, exploring commutativity and associativity, to work towards strategies for adding and subtracting across ten.

Teaching points

  • Teaching point 1: Addition of three addends can be described by an aggregation story with three parts.
  • Teaching point 2: Addition of three addends can be described by an augmentation story with a ‘first…, then…, then…, now…’ structure.
  • Teaching point 3: The order in which addends (parts) are added or grouped does not change the sum (associative and commutative laws).
  • Teaching point 4: When we are adding three numbers, we choose the most efficient order in which to add them, including identifying two addends that make ten (combining).
  • Teaching point 5: We can add two numbers which bridge the tens boundary by using a ‘make ten’ strategy.
  • Teaching point 6: We can subtract across the tens boundary by subtracting through ten or subtracting from ten.




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.