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Understand Division as an Unknown-Factor Problem

Students learn to think about division by relating it back to multiplication. Instead of asking '56 ÷ 8 = ?', they ask 'what number times 8 equals 56?' This bridges the two operations and sets the foundation for fact families and fluency strategies.

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Understand Division as an Unknown-Factor Problem

Grade 3 · Understanding Division · question 1 of 3

0 of 12

12 rungs. A star at the top.

Which multiplication fact helps you solve 10 ÷ 2?

How it is taught

0:00 of 4:18

Division is a missing-factor multiplication.

Ask what times 9 makes 54.

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.

___ × 3 = 6 — 2. 2 groups of 3 make 6, so 2 × 3 = 6 and 6 ÷ 3 = 2.

56 ÷ 8 = ?

Here's a secret about division. Every division problem has a multiplication problem hiding inside it.

Let's try fifty-six divided by eight. What number belongs here?

Instead of dividing, let's flip our thinking around.

We can ask: what number times eight equals fifty-six?

Now it's a multiplication fact we might already know.

Eight times seven equals fifty-six. So our missing number is seven!

That means fifty-six divided by eight is also seven.

Multiplication and division are partners — they always help each other out.

Whenever division feels tricky, ask: what times the divisor gives me this number? Nice thinking!

Division hides multiplicationEvery ÷ has a × hiding inside.56÷8=?8×?=5677fact familyANSWER756 ÷ 8 = 7
Grade 3 · Use multiplication to solve division

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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