Cogito
Grade 3 Math · Chapter 1 · Lesson 3
Division as Sharing
Splitting a total into equal shares.
10 problems · about 12 minutes · 3.OA.A.2
What this lesson teaches
The child interprets a quotient as the number in each share when a total is split equally.
- Division splits a total into equal shares.
- 12 ÷ 3 asks how many are in each of 3 shares.
- The answer is called the quotient.
Warm-Up Review
From earlier lessons. Loosen up before the new work.
2 problemsReview — Arrays and the Commutative Property: You know 9 × 2 = 18. What is 2 × 9?
Answer 18
Why The commutative property gives it free.
Review — Equal Groups and Multiplication: 4 groups of 5. What is the product?
Answer 20
Why 4 × 5 = 20.
Warm Up
Straightforward practice. Get the method working first.
4 problems24 ÷ 4 = ?
Answer 6
Why 24 ÷ 4 = 6.
What must be true about the shares?
Answer They must all be the same size.
Why Division makes exactly equal shares.
10 ÷ 2 = ?
Answer 5
Why Two equal shares of 10.
15 ÷ 5 = ?
Answer 3
Why Five equal shares of 15.
Build It Up
The same ideas with more to keep track of.
2 problems16 ÷ 4 = ?
Answer 4
Why Four equal shares of 16.
20 ÷ 10 = ?
Answer 2
Why Ten equal shares of 20.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Party: 20 balloons are shared equally between 5 children. How many does each get?
Answer 4 balloons
Why 20 ÷ 5 = 4 balloons each.
The Library: 18 books are put equally onto 3 shelves. How many on each shelf?
Answer 6 books
Why 18 ÷ 3 = 6 books per shelf.