• Mastery PD Materials

Times tables: groups of 2 and commutativity (part 1)

Spine 2: Multiplication and Division – Topic 2.3


Build up the two times table by combining children’s experience of counting in units of two and of representing equal groups; explore how, in a multiplication equation, the factors can appear in either order and the product remains the same.

Teaching points

  • Teaching point 1: For equally grouped objects, the number of groups is a factor, the group size is a factor, and the overall number of objects is the product; this can be represented with a multiplication equation. Counting in multiples of two can be used to find the product when the group size is two.
  • Teaching point 2: Counting in multiples of two can be represented by the two times table. Adjacent multiples of two have a difference of two. Facts from the two times table can be used to solve problems about groups of two.
  • Teaching point 3: Factor pairs can be written in either order, with the product remaining the same (commutativity).
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