Grouping — Multiply & Divide Pathway
Division by grouping
- Grouping means making equal groups from a total.
- Ask: how many groups of this size can I make?
- 12 in groups of 4: you can make 3 groups.
- We write: 12 / 4 = 3.
Example: 15 in groups of 5
- Step 1: Take 5 from 15. Left: 10. Groups so far: 1.
- Step 2: Take 5 from 10. Left: 5. Groups so far: 2.
- Step 3: Take 5 from 5. Left: 0. Groups so far: 3.
- Answer: 15 / 5 = 3 groups.
Your turn
- Try: 20 in groups of 4.
- Count in 4s: 4, 8, 12, 16, 20.
- That is 5 jumps of 4.
- So 20 / 4 = 5.
Common Mistakes to Avoid
- Confusing sharing with grouping. Sharing asks "how many does each get?" Grouping asks "how many groups can I make?"
- Forgetting to count how many groups you have made. The number of groups is the answer.
Real-Life Example
You have 20 pencils and each packet holds 4. How many packets can you fill? 20 / 4 = 5 packets.
Extra Support Hints
- Draw circles for groups and put dots inside until you run out.
- Count in jumps: for groups of 4, count 4, 8, 12, 16, 20 — that is 5 jumps.