Tile Turners
A tiling covers a surface without gaps or overlaps. A marked tile can be rotated or reflected to follow a repeating design.
Before you try
Before you play, make a prediction: How many quarter-turns make one complete turn? Explain what you expect and what part of the model will help you check it.
Try it out
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 11: Fun with Symmetry, pages 164–174).
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Try these ideas
- Turn each square until the decorative corners follow the target pattern.
- 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
A tiling covers a surface without gaps or overlaps. A marked tile can be rotated or reflected to follow a repeating design.
Quarter-turning a square keeps the square footprint but changes the direction of its coloured corner. Turn each square until the decorative corners follow the target pattern.
A rotation changes orientation. A reflection reverses the design; these are different moves.
This activity connects to Fun with Symmetry, NCERT Class 4 maths, printed pages 164–174. 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: What happens when a marked square tile is quarter-turned? The square outline occupies the same footprint. Its corner mark moves through 90 degrees. Four quarter-turns return the mark to its starting orientation.
Check your understanding
Question 1 of 2
How many quarter-turns make one complete turn?
Does a non-square rectangle have diagonal symmetry lines?
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. Turn each square until the decorative corners follow the target pattern. Ask the child to make a new example using paper, counters, household objects or a labelled sketch.
- Listen to the explanation. A rotation changes orientation. A reflection reverses the design; these are different moves. Ask “How could we check?” and encourage a second representation of the same idea.