Count Total Squares in a Partitioned Rectangle

Students count the total number of same-size squares in a partitioned rectangle using repeated addition (e.g., adding the same number of squares in each row). Students connect the rectangular array to addition equations.

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Grade 2 · Partitioning Shapes · question 1 of 3

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12 rungs. A star at the top.

B has how many more?

Your answer:

How it is taught

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Count a partitioned rectangle row by row.

Repeated addition joins the rows.

Read it: Rows of squares

This rectangle has 3 rows of 4 squares. Count a row, then on by a row at a time: 4, 8, 12. So 4 + 4 + 4 = 12.

Count the squares in one row.
Count on by that many for each row.
The last number is how many squares in all.

Every row has the same number of squares, so you can add a row at a time.

The rows and columns cut the rectangle into same-size squares.

4 + 4 + 4 is a quick way to write 3 rows of 4.

Count the squares in a row, then count on by a row at a time.

Adding the rows and the columns: 3 + 4 = 7.

Count squares, not rows: 4, 8, 12. There are 12 squares.

3 + 3 + 3 = ___ — 9. 3 rows of 3: 3, 6, 9.

3 rows of 4 squares = 12

Here's a rectangle split into equal squares. Let's count them all — but in a smart way!

Look — the squares are lined up in 3 equal rows. Each row has the same number.

The top row has 1, 2, 3, 4 squares.

So we write 4 for the top row.

The middle row also has 4 squares.

We add another 4.

And the bottom row — also 4 squares.

Add one more 4.

Now let's add them up. Four plus four plus four equals twelve.

Grade 2 · Counting equal squares with repeated addition

There are 12 squares in all. Three rows of four — that's repeated addition!

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics

Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal: 1 star — one skill mastered, every rung of its ladder climbed
Climbing now: Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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