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Partition Shapes into Fourths

Students partition circles and rectangles into four equal shares (fourths/quarters), describing each share as 'a fourth of' or 'a quarter of' the whole.

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Partition Shapes into Fourths

Grade 1 · Geometry: Shapes and Their Attributes · question 1 of 3

0 of 12

12 rungs. A star at the top.

How many equal shares?

How it is taught

0:00 of 2:30

Fourths are four equal parts of a whole.

A fourth is smaller than a half.

Read it: Fair shares are the same size

Shape A is cut into 2 equal shares: halves. Shape B has 2 shares too, but they are not the same size, so they are not halves.

  1. Count the shares.
  2. Check that every share is the same size.
  3. 2 equal shares are halves. 4 equal shares are fourths.

Fair means every share is the same amount.

Halves are 2 equal shares; fourths are 4 equal shares.

More shares, smaller shares: a fourth is smaller than a half.

Equal shares are the same size. 2 are halves, 4 are fourths. More shares, smaller shares.

Calling any 2 shares halves.

Shape B has 2 shares, but one is bigger. Halves are 2 equal shares, like shape A.

Ben cuts 2 pizzas into fourths. How many fourths in all? — 8. Each pizza makes 4 fourths: 4 and 4 more is 8.

Sharing one sandwich into 4 equal pieces

We have one big sandwich and four hungry friends. How can we share it fairly?

Here's our whole sandwich. One whole shape.

First, we cut straight down the middle.

Now we have two equal halves.

Here's the sandwich cut straight across the other way.

Grade 1 · Cutting a whole into four equal shares

Let's count the pieces: one, two, three, four.

All four pieces are exactly the same size. They are equal shares.

Each piece is one fourth of the sandwich. We can also call it one quarter.

We write one fourth like this — one over four. One piece out of four equal pieces.

Four equal shares. Each one is a fourth — or a quarter — of the whole. Great sharing!

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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