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Partition Shapes into Halves and Thirds

Students divide circles and rectangles into 2 or 3 equal shares and name each share as a half or a third. Students understand that all shares must be equal and practice using the vocabulary: halves, half of, thirds, a third of.

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Partition Shapes into Halves and Thirds

Grade 2 · Partitioning Shapes · question 1 of 3

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12 rungs. A star at the top.

Hana cuts a pancake into equal shares. What are they called?

Look at the cuts.

How it is taught

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Equal parts of two make the whole.

Two of those parts make the whole.

Read it: Equal shares

Fair shares are all the same size. 2 equal shares are halves, 3 are thirds, 4 are fourths.

  1. Count the shares.
  2. Check that every share is the same size.
  3. Name them by how many: halves, thirds or fourths.

Shares that are not the same size are not fair, even when there are the right number.

The more equal shares a shape has, the smaller each share is.

Equal shares can look different and still be the same size.

Equal shares are the same size: 2 are halves, 3 are thirds, 4 are fourths.

Calling any 3 pieces thirds.

Thirds must be the same size. 3 pieces of different sizes are not thirds.

Ana cuts 2 sandwiches into thirds. How many thirds in all? — 6. Each sandwich makes 3 thirds: 3 and 3 more is 6.

Splitting a chocolate bar into halves and thirds

Today we'll learn how to split shapes into fair, equal pieces called halves and thirds.

Here's a whole chocolate bar. We want to share it fairly with a friend.

Look — we cut it right down the middle into two equal pieces.

Grade 2 · Sharing fairly with equal pieces

Each piece here is called a half. Two halves make one whole.

We say one half for each piece. Both pieces are exactly the same size.

Now here's another whole bar. This time we want to share with two friends — three people in all.

Look — we cut it into three equal pieces.

Each piece here is called a third. Three thirds make one whole.

We say one third for each piece. All three pieces are the same size.

Remember the big rule: every share has to be exactly equal. If they aren't equal, they're not halves or thirds.

Halves are two equal shares. Thirds are three equal shares. Nice work!

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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