Both year 8 groups (group 3 & 4) and my year 5 group (group 1) have been working on multiplicative strategies using arrays. Arrays are rows of objects that are used for the children to be able to see groups rather than single objects. The arrays we have been using are animal strips. Each group has started off using the strips to partition (break up) additively then they use multiplication and additive strategies to solve the answer. Using arrays also helps to correct children's misunderstanding of what multiplication looks like i.e. 6 x 3 is 6 groups of 3 whereas 3 x 6 is 3 groups of 6. Though they have the same answer, the arrays look different so using the materials helps clarify this in their minds : )
In the videos below you will see the students explaining their strategy.
What the students are doing:
To solve 27 x 6,
27 is split into 20 and 7 and these parts are multiplied then recombined, as in:
20 x 6 = 120
7 x 6 = 42 (or 7 x 5 = 35 and 7 x 1 = 7)
120 + 42 = 162)
Group 1 (Mya, Heseti, Ripeka, Michael, Sacred)
Group 3 (Paul, Bethel, Teri, Faleupolu, Vera)
Group 4 (Andre, Giovanni, Losana)