Interpret Division as Equal Sharing

Students learn to interpret a division expression such as 56 ÷ 8 as finding how many objects each person gets when 56 objects are shared equally among 8 people (partitive division). They use manipulatives and drawings to model fair-share situations and connect them to division notation.

Try three of them

Real questions from this skill, graded here. No account, and nothing is saved.

Grade 3 · Understanding Division · question 1 of 3

0 of 12

12 rungs. A star at the top.

8 ÷ 4 = .

How it is taught

0:00 of 3:38

Equal sharing splits a total into same-size groups.

Division tells how many each group gets.

Read it: Divide: deal round, or make groups

20 apples, 4 trays. Deal 1 apple to each tray, round and round, until all 20 are gone: 5 in each.

Deal 1 apple to each tray, until none are left.
Count the apples in 1 tray: 20 ÷ 4 = 5.
Or make groups of 5 and count them: 4 groups, so 20 ÷ 5 = 4.

Dealing 1 at a time, round and round, keeps every tray the same.

4 trays of 5 make 20, so 20 ÷ 4 = 5 and 20 ÷ 5 = 4.

Division asks how many in each group, or how many groups.

To share, deal round until none are left. The number in 1 tray is the answer.

Saying 4, because there are 4 trays.

4 is the number of trays. The answer is how many are in each: 5.

8 apples are shared equally into 4 bags. How many apples are in each bag? — 2. Deal round into 4 bags: each gets 2. 8 ÷ 4 = 2, because 4 × 2 = 8.

12 ÷ 3

We have twelve stickers to share fairly with three friends. How many will each friend get?

Here are our twelve stickers, all lined up.

And here are our three friends, each with their own spot.

Sharing twelve things equally with three friends is written as twelve divided by three.

Let's give one sticker to each friend. That's three stickers handed out.

Another round — one more sticker for each friend.

Keep going. One more sticker for everyone.

And the last round. All twelve stickers are shared!

Now let's count what each friend has. Four stickers each!

Grade 3 · Sharing 12 stickers fairly with 3 friends

So twelve divided by three is four. Each friend gets four stickers.

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.

More of the library

Every skill has a page

Standard

CCSS.3.OA.A.2

Interpret whole-number quotients of whole numbers, e.g., interpret 56 / 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares

Grade 3

Quoted from the Common Core State Standards.

Where this sits

Comes after

Interpret Multiplication as Equal Groups

Leads to

What a star here means

A star here is the top of a twelve-rung ladder, in four blocks of equal length — three of facts and one of the skill used in a real question — where a right answer climbs one rung and a wrong one drops back to the start of the block, never below it. The star is kept for good. How we grade

All of Grade 3

This is one rung of 104 in Grade 3 mathematics, in the order they build on each other.

Practise this skill free

14 days of every skill, practice packets, Fluency sheets and up to four students. No card.

Start free