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Connect Partitioning to Area

Students will connect the concept of partitioning shapes into equal parts with area. They will determine the area of one part given the whole area, and verify that the sum of the areas of all equal parts equals the total area of the shape.

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Connect Partitioning to Area

Grade 3 · Partitioning Shapes and Unit Fractions · question 1 of 3

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12 rungs. A star at the top.

Lila splits a round cookie equally. What fraction of its area is one part?

Look at the equal parts.

Your answer:

How it is taught

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Area is the flat space inside a shape.

Equal parts of a whole have equal area.

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Read it: Equal parts, one part named

A rectangle is cut into 4 equal parts. One part is shaded. It is 1/4 of the whole.

  1. Check that the parts are all the same size.
  2. Count the equal parts: 4.
  3. Name one part: 1 of 4 equal parts is 1/4.

Equal parts cover the same amount of the shape.

The bottom number tells how many equal parts make the whole.

4 parts of 1/4 make the whole rectangle.

When a whole is cut into 4 equal parts, each part is 1/4 of the whole.

Calling a part 1/4 when the 4 parts are not the same size.

Only equal parts are fourths. Check the sizes first.

A rectangle of 10 squares is cut into 2 equal parts. How many squares are in one part? — 5. 10 squares in 2 equal parts: 5 in each, and each part is 1/2 of the whole.

24 sq units ÷ 4 equal parts

Here's a rectangle. Its total area is twenty-four square units.

Grade 3 · Sharing area equally between parts

Let's split it into four equal parts with straight lines.

If the whole rectangle is twenty-four square units, what's the area of just one part?

We share the area equally: twenty-four divided by four.

Each equal part has an area of six square units.

Let's label every part with its area: six, six, six, six.

Now let's check. If we add the four parts back together, do we get the whole?

Six plus six plus six plus six equals twenty-four.

Yes! The four equal parts add up to the whole. Partitioning shares area equally.

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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