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 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.