03 / Arrays and inverse operations
How are groups, group size and a total connected?
Inspect multiplication and the two meanings of division.
Connect equal groups with multiplication, grouping and sharing.
Arrays and inverse operations
Connect equal groups with multiplication, grouping and sharing.
The complete worked example below is available independently of the model.
Keep the relationship in view.
Four groups of three contain twelve. 4 × 3 = 12; 12 ÷ 3 = 4 groups, and 12 ÷ 4 = 3 in each group.
Prepare for the exploration.
Begin with the stated example. Connect the controls to the representation and explanation; ask what changed and what stayed the same.
Use the representation thoughtfully.
The model is an explanatory aid. It does not assess a learner or establish that a teaching approach will suit every situation.
Connected to practice.
The mathematical activity relates to the documented themes of early mathematics and teacher support. It is a new website explanation, not a previously published tool attributed to Dr Sako.
Explore the relevant professional work