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

2.10 Connecting multiplication and division, and the distributive law

Created on 30 May 2019 by ncetm_administrator
Updated on 31 May 2019 by ncetm_administrator


Explore why multiplication is commutative while division is not. Build on understanding of the difference between adjacent multiples to explore the distributive law, and apply it to derive multiplication facts.

Teaching points

  • Teaching point 1: Multiplication is commutative; division is not commutative.
  • Teaching point 2: Multiplication is distributive: multiplication facts can be derived from related known facts by partitioning one of the factors, and this can be interpreted as partitioning the number of groups; two-part problems that involve addition/subtraction of products with a common factor can be efficiently solved by applying the distributive law.
  • Teaching point 3: The distributive law can be used to derive multiplication facts beyond known times tables.



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



There are no comments for this item yet...
Only registered users may comment. Log in to comment