Let's solve the division problems on this worksheet step by step, using
sharing and
grouping methods as shown.
---
🔹 Problem 1: Divide 9 into 3 equal groups. (SHARING)
We are dividing
9 items into
3 equal groups.
- We need to share 9 equally among 3 groups.
- So, each group gets:
$$
9 \div 3 = 3
$$
✔ Answer:
There are
3 in each group.
Division sentence: $ 9 \div 3 = 3 $
---
🔹 Problem 2: Divide 9 into groups of 3. (GROUPING)
Now we are grouping
9 items into groups of
3.
- How many groups of 3 can we make from 9?
- $ 9 \div 3 = 3 $ groups
✔ Answer:
There are
3 groups of 3.
Division sentence: $ 9 \div 3 = 3 $
---
🔹 Problem 3: Divide 12 into 4 groups. (SHARING)
Divide
12 items into
4 equal groups.
- Each group gets:
$$
12 \div 4 = 3
$$
✔ Answer:
There are
3 in each group.
Division sentence: $ 12 \div 4 = 3 $
---
🔹 Problem 4: Divide 12 into groups of 4. (GROUPING)
Group
12 items into groups of
4.
- How many groups of 4 can we make?
$$
12 \div 4 = 3
$$
✔ Answer:
There are
3 groups of 4.
Division sentence: $ 12 \div 4 = 3 $
---
✔ Final Completed Table:
| SHARING | GROUPING |
|--------|---------|
|
Divide 9 into 3 equal groups. |
Divide 9 into groups of 3. |
|  |  |
| There are
3 in each group. | There are
3 groups of 3. |
| Division sentence: $ 9 \div 3 = 3 $ | Division sentence: $ 9 \div 3 = 3 $ |
|
Divide 12 into 4 groups. |
Divide 12 into groups of 4. |
|-------------------------------|----------------------------------|
|  |  |
| There are
3 in each group. | There are
3 groups of 4. |
| Division sentence: $ 12 \div 4 = 3 $ | Division sentence: $ 12 \div 4 = 3 $ |
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📝 Explanation:
-
Sharing: We split a total number into a given number of equal groups. We ask: *"How many in each group?"*
-
Grouping: We form groups of a specific size. We ask: *"How many such groups can we make?"*
Both lead to the same division result, but they represent different ways of thinking about division.
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✔ All answers are correct and consistent with the concept of division!
Parent Tip: Review the logic above to help your child master the concept of division as sharing worksheet.