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Interpret Division as Repeated Subtraction / Measurement

Students learn the measurement (quotitive) interpretation of division: how many groups of a given size fit into a total. For example, 56 ÷ 8 can mean 'how many groups of 8 are in 56?' They model this using repeated subtraction and number-line jumps.

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Interpret Division as Repeated Subtraction / Measurement

Grade 3 · Understanding Division · question 1 of 3

0 of 12

12 rungs. A star at the top.

14 ÷ = 2

How it is taught

0:00 of 3:53

Measurement division asks how many equal groups fit.

You can subtract the same group size again and again.

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.

  1. Deal 1 apple to each tray, until none are left.
  2. Count the apples in 1 tray: 20 ÷ 4 = 5.
  3. 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.

How many groups of 2 are in 6? — 3. 3 groups of 2 make 6: 6 ÷ 2 = 3.

56 ÷ 8

Today we'll see division as repeated subtraction. We have fifty-six stickers, and we want to put them into bags of eight.

Here's our question — how many groups of eight fit inside fifty-six?

Let's draw a number line from zero to fifty-six, with a tick every eight.

We start at fifty-six — that's all our stickers, before we make any bags.

Take away one group of eight. Fifty-six minus eight is forty-eight. That's bag number one.

Take away another eight. Forty-eight minus eight is forty. Bag number two.

Another eight. Forty minus eight is thirty-two. Bag three.

Keep going. Thirty-two minus eight is twenty-four. Bag four.

Twenty-four minus eight is sixteen. Bag five.

Sixteen minus eight is eight. Bag six.

And one more. Eight minus eight is zero. Bag seven — no stickers left!

Count the jumps: one, two, three, four, five, six, seven. Fifty-six divided by eight is seven. Seven full bags!

How many 8s fit inside 56?56 stickers → bags of 856 ÷ 8 = ?05681624324048start56 − 8 = 4848 − 8 = 4040 − 8 = 3232 − 8 = 2424 − 8 = 1616 − 8 = 88 − 8 = 012345677 jumps of 856 ÷ 8 = 7ANSWER7bags of 8
Grade 3 · How many groups of 8 are in 56?

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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