Grouping Pencil
Grouping pictures show multiplication and division together. Each enclosure must contain the same requested number of objects.
Before you try
Before you play, make a prediction: Four groups of five contain… Explain what you expect and what part of the model will help you check it.
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Interactive activity
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What happened?
Move a control to see what changes and why.
The game practises one idea at a time with simple drawn pictures. Check the same idea with real objects and your NCERT textbook (Chapter 9: Equal Groups, pages 128–148).
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Try these ideas
- Draw separate boundaries around the equal groups.
- Try a new puzzle with ↻. Describe what changed and which mathematical rule stayed the same.
- Complete a round, then explain your method before you move to the next one.
Why it works
Grouping pictures show multiplication and division together. Each enclosure must contain the same requested number of objects.
Three groups of four show both 3 × 4 = 12 and 12 ÷ 4 = 3. Draw separate boundaries around the equal groups.
An object belongs to one group only. Group boundaries must not count it twice.
This activity connects to Equal Groups, NCERT Class 4 maths, printed pages 128–148. Use the picture or objects to explain each step before relying on a calculation. The game practises one part of the chapter at a time; the other three activities extend the chapter’s ideas.
Worked example: Draw groups to show 15 ÷ 3. Enclose three objects per group. Five equal groups use all 15, so 15 ÷ 3 = 5.
Check your understanding
Question 1 of 2
Four groups of five contain…
Which checks 29 ÷ 6 = 4 remainder 5?
Explain it in your own words
What changed? Why did it happen? Where might you notice this in everyday life?
For parents & teachers
- Try with everyday materials. Draw separate boundaries around the equal groups. Ask the child to make a new example using paper, counters, household objects or a labelled sketch.
- Listen to the explanation. An object belongs to one group only. Group boundaries must not count it twice. Ask “How could we check?” and encourage a second representation of the same idea.