A rectangular array represents equal rows and columns of objects: the number of rows indicates the number of equal groups, the number in each row indicates the group size, and the total is their product. The learner connects an array to repeated addition and multiplication equations, recognizes that rotating it reverses the factors without changing the total, and interprets products and related grouping or sharing situations within 100; generalized algebraic arrays and larger-number applications are not included.
An array is an arrangement of objects in equal rows and columns.
Look at this array:
● ● ● ●
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Step 1: Count the rows.
There are rows. This tells us there are equal groups.
Step 2: Count the objects in each row.
There are objects in each row. This tells us the group size is .
Step 3: Find the total.
Add the equal rows:
You can also multiply:
So, the array has objects.
If you turn the array, it has rows with objects in each row:
and
The factors change places, but the total stays the same.
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