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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

MistakeWhyFix
Watch colour onlyMiss shape changeTrack both features
Wrong rotation directionCW vs CCWRead question clockwise note
Break pattern too earlyABAB seen as ABCFind shortest repeat
Size ignoredBig small big smallInclude 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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