Array Orchard
Equal rows give repeated addition: rows × objects per row. Turning an array swaps the factors while preserving the total.
Before you try
Before you play, make a prediction: 3 rows of 7 contain… Explain what you expect and what part of the model will help you check it.
Try it out
Interactive activity
Sign in to play
Use a Google account (yours or a parent’s) to unlock this simulator. We store only your name and email so your favourites and progress follow you.
Signing in needs an internet connection. Once you are signed in, simulators also work offline.
Free preview
Loading controls…
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).
Something went wrong
This simulator could not load. Check your connection and try again.
Try these ideas
- Set rows and columns to satisfy both the row clue and total.
- 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
Equal rows give repeated addition: rows × objects per row. Turning an array swaps the factors while preserving the total.
Four rows of six trees contain 24 trees; six rows of four also contain 24. Set rows and columns to satisfy both the row clue and total.
An array has equal row lengths. Unequal rows need separate counts.
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: An orchard has 6 rows of 4 trees. Find the total. Repeated addition gives 4 + 4 + 4 + 4 + 4 + 4. 6 × 4 = 24 trees. Rotating the array gives 4 rows of 6, still 24.
Check your understanding
Question 1 of 2
3 rows of 7 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. Set rows and columns to satisfy both the row clue and total. Ask the child to make a new example using paper, counters, household objects or a labelled sketch.
- Listen to the explanation. An array has equal row lengths. Unequal rows need separate counts. Ask “How could we check?” and encourage a second representation of the same idea.