Count Equal Rows
Use repeated addition to count objects arranged in equal rows.
Supplied materials
- Paper and a pencil, or say your answers aloud.
Learn the idea
An array has rows and columns. Rows go across. If every row has the same number of objects, you can add the number in each row to find the total.
Three rows with four dots in each row can be counted as 4 + 4 + 4. Check that the rows really are equal before using this shortcut. If one row has an extra dot, the total changes.
- Draw three rows of four dots each.
- Write 4 + 4 + 4 and count 12 dots to check.
- Make a new drawing with two rows of five dots each.
- Write an addition sentence for that new array.
See the method in action
Three rows of four dots give 4 + 4 + 4 = 12. Counting one row as four, then eight, then twelve gives the same total.
Check your reasoning
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See the answer and explanation
10 dots
Each row contributes five dots. Adding both rows gives 5 + 5 = 10. Adding the number of rows to the dots per row, 2 + 5, would not count all the dots.
Take it further
Add a third row of five dots. The new total is 5 + 5 + 5 = 15, five more than before.
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