Multiplication
Commutative multiplication arrays
Compare an array with its turned orientation to show that reversing the factors preserves the total number of objects.
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Multiplication and division array facts
Use one rectangular array to write two multiplication equations and two related division equations.
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Count the rows, columns, and total. Use those three numbers to write two multiplication facts and two division facts.
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Learning objective
What this activity builds
Build a fact family that connects factors, product, equal groups, and equal sharing.
Worked example
What fact family comes from an array with 5 rows and 4 columns?
5 × 4 = 20, 4 × 5 = 20, 20 ÷ 5 = 4, and 20 ÷ 4 = 5
The same 20 objects can be organized as five groups of four or four groups of five, and either factor can describe the group count.
Teaching notes
Make the practice count
- Point to the array while naming what each division quotient represents.
- Keep zero out of divisor positions so every division fact is defined.
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