Shape
Repeating and rotating shape/colour patterns in sequence.
Shape
Shape Series
What you'll learn
- Repeating patterns — circle, square, circle, square.
- Rotation of shapes or arrows quarter-turn.
- Colour alternation — black, white, black, white.
- Combine shape + colour + size rules.
Key concepts
Level 1 — Core idea
Verbal: Red triangle, blue circle, red triangle, blue circle — pattern repeats.
Symbolic: AB AB AB pattern notation.
Visual: Draw next box by copying last full repeat block.
Level 2 — Going deeper
Clockwise rotation: ↑ → ↓ ←. Count how many steps each time. Two rules? Solve one at a time.
NCERT anchor
NCERT Math Mela, Class 3 — Chapter 4 (Shapes and Designs) patterns link here. Use shape tiles from textbook.
Worked example
△ ○ △ ○ △ ?
Step 1 — Block **△ ○** repeats
Step 2 — After △ comes **○**
Answer: **○** ✓
Arrow rotates 90° clockwise each step — ↑ next?
Step 1 — ↑ → **→** → ↓ → ←
Step 2 — After ↑ clockwise = **→**
Answer: **→**
Common mistakes
| Mistake | Why | Fix |
|---|---|---|
| Watch colour only | Miss shape change | Track both features |
| Wrong rotation direction | CW vs CCW | Read question clockwise note |
| Break pattern too early | ABAB seen as ABC | Find shortest repeat |
| Size ignored | Big small big small | Include size in rule |
Quick check
- Next: □ ○ □ ○ □ ?
- Rotate ↑ once clockwise.
- Red blue red blue — next colour?
- Stretch: Pattern with shape AND colour — write rule in words.
Revision tip: Label positions 1-2-3-4; compare 1 vs 3 and 2 vs 4 for repeats.
Open the Practice tab for graded questions on Shape Series.
Key Takeaways (TL;DR)
- What you'll learn
- Key concepts
- Worked example
- Common mistakes
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