NCERT Ganita Prakash, Class 6, textbook pages 217–256

How to teach Class 6 Maths Chapter 9, Symmetry, at home

Line symmetry and rotational symmetry, taught with things you already have at home: a 20-minute activity, a game for the week, a 5-day plan and the mistakes to watch for.

windmill: order 4, angle 90°

NCERT Class 6 Maths Chapter 9 Symmetry: what it teaches

Your child finds lines of symmetry by folding and mirrors, and meets rotational symmetry: shapes that look the same after a turn, like a windmill. They find the angle and order of rotational symmetry.

Why it matters later. Symmetry appears in geometry, art and science; transformations are studied further in Class 7 and 8.

See it: this chapter in pictures

square: 4 lines
Fold to find lines of symmetry.
order 3: fits every 120°
Count how many times it fits in one turn.
parallelogram: no mirror line, order 2
Rotational symmetry without line symmetry.

You need

  • paper and scissors
  • a mirror
  • tracing paper
  • a pin

Tonight’s 20 minutes

  1. Fold-and-cut designs with 1, 2 and 4 lines of symmetry.
  2. Trace a square on tracing paper, pin its centre and turn it. How many times does it fit in one full turn?
  3. Make a paper windmill and find its angle of rotational symmetry.
  4. Find symmetry in rangoli, logos and flags.

Words to use

  • line of symmetry
  • rotational symmetry
  • order
  • angle of symmetry
  • centre of rotation

Watch for

  • Counting the starting position twice. Count fits during one full turn, stopping before you return to start.
  • Thinking a parallelogram has line symmetry. Fold it: halves don’t match. It has rotational symmetry of order 2.

What it sounds like at home

A short example of the conversation. Your words will differ; the questions are what matter.

YouTurn the square on the pin. How many fits?

Your child4 in one turn.

YouSo the angle?

Your child360 ÷ 4 = 90°.

YouA parallelogram?

Your childNo mirror line, but order 2.

A game for this week: Symmetry spotter

  1. Collect 10 logos or pictures.
  2. For each, count lines of symmetry and the order of rotation.
  3. Check with tracing paper.
  4. One point per correct answer.

A 5-day plan, 20 minutes a day

  1. Day 1Fold-and-cut designs.
  2. Day 2Tracing-paper turns.
  3. Day 3Paper windmill.
  4. Day 4Symmetry in rangoli and flags.
  5. Day 5Symmetry spotter.

Everyday moments to practise

  • Fans and windmills.
  • Logos.
  • Flowers.
  • Kolam patterns.

Quick check

Ask these at the end of the week. Tap to see the answer.

Lines of symmetry in a square?

4.

Angle of rotational symmetry of a square?

90°.

Order of rotational symmetry of an equilateral triangle?

3.

Ready for the next chapter when your child…

  • Finds lines of symmetry.
  • Finds order and angle of rotational symmetry.
  • Makes symmetrical designs.

Activities, wording and illustrations are Mathify Kids’ own, following the topics of NCERT’s Ganita Prakash (Class 6). See the full Class 6 parent guide for every chapter.

Questions parents ask

What is rotational symmetry?

A shape looks the same after turning less than a full turn about its centre.

What is the order of rotational symmetry?

How many times the shape fits onto itself in one full turn.

Does every shape have rotational symmetry?

Every shape fits after a full turn, but we count symmetry only for turns less than 360°.