Fraction Garden
A fraction counts equal parts of a stated whole. The denominator counts all equal parts and the numerator counts the selected parts.
Before you try
Before you play, make a prediction: Which equals one half? 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 5: Sharing and Measuring, pages 62–79).
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Try these ideas
- Shade a fraction, then show the same amount using more equal pieces.
- 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 fraction counts equal parts of a stated whole. The denominator counts all equal parts and the numerator counts the selected parts.
Three quarters means 3 of 4 equal parts. Two quarters equal one half. Shade a fraction, then show the same amount using more equal pieces.
The parts must have equal size. Counting unequal pieces does not give the stated fraction of area.
This activity connects to Sharing and Measuring, NCERT Class 4 maths, printed pages 62–79. 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: Show three quarters of a whole divided into eight equal parts. One quarter is two of the eight parts. Three quarters is 3 × 2 = 6 parts, so 3/4 = 6/8.
Check your understanding
Question 1 of 2
Which equals one half?
Which fraction is equivalent to 3/4?
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. Shade a fraction, then show the same amount using more equal pieces. Ask the child to make a new example using paper, counters, household objects or a labelled sketch.
- Listen to the explanation. The parts must have equal size. Counting unequal pieces does not give the stated fraction of area. Ask “How could we check?” and encourage a second representation of the same idea.