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Express Equal Parts as Unit Fractions of the Whole

Students will express the area of each equal part as a unit fraction of the whole shape. For example, if a rectangle is divided into 6 equal parts, each part has an area of 1/6 of the whole. Students will connect their partitioning to fractional notation.

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Express Equal Parts as Unit Fractions of the Whole

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

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12 rungs. A star at the top.

Cyrus shares a round cracker with a friend on the bus. How many equal parts does the cracker have?

Look at the equal parts.

How it is taught

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A unit fraction names one equal part of a whole.

A smaller bottom number means a bigger piece.

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 flag is cut into 6 equal parts. What fraction of the flag is one part? — 1/6. 6 equal parts, so one part is 1/6 of the whole.

1 whole ÷ 6 equal parts → each part is 1/6

Imagine one chocolate bar to share equally with six friends. How much does each friend get?

Here is the whole bar — one whole chocolate.

Here is the bar sliced into six equal pieces, so the sharing is fair.

Grade 3 · One chocolate bar shared equally between 6 friends

Count with me: one, two, three, four, five, six equal parts.

Now look at just one piece. We want to name how big it is compared to the whole.

The whole is split into six equal parts, so we write six on the bottom — that's the denominator.

We're talking about just one of those parts, so we write one on top — that's the numerator.

We read this as 'one-sixth'. Each piece is one-sixth of the whole bar.

When a shape is split into six equal parts, each equal part is one-sixth of the whole. Nice work!

Now you try. Choose the name of this shape from the list. Which name matches the drawing?

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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