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Shape Jigsaws — Same Pieces

Thinking Skills · Y4 OC
Year 4 OC
Lesson Guide
Explanation
A jigsaw question shows a square built from five different pieces and asks which option square consists of the SAME five pieces — turned over allowed. The ground rules: rotating and flipping keep a piece the same; changing its size or shape makes it a different piece. Wrong options sneak in a piece that's slightly longer, a piece split into two, or two pieces merged. Your job is a one-for-one matching: every original piece must appear exactly once in the winning option, and nothing extra.
Your Turn
An L-shaped piece is flipped over like a pancake. Same piece or different? Check: same — the question allows turning over.
Watch Out
'Consists of the same pieces' means ALL five match. Four matches and one stranger = wrong option.
Explanation
Don't compare whole pictures — fingerprint the PIECES. For each piece note its size (count the little squares it covers, or its side lengths) and give it a nickname: bar, L, big-L, S, T. The original might read: bar-3, L-3, S-4, T-4, square-2. Now each option is a checklist, not a stare-down: does it have exactly one bar-3, one L-3, one S-4…? Size is the sharpest test — a 3-square L and a 4-square L look cousins but can never match. Nicknames plus counts turn a fuzzy visual task into bookkeeping.
Your Turn
Fingerprint this set: a 1×4 bar, a 2×2 square, an L covering 3. Total squares covered? Check: 4 + 4 + 3 = 11.
Watch Out
Two pieces can share a nickname but differ in size. The count is the referee — always attach the number to the name.
Explanation
Before any careful matching, run the free eliminations. TOTAL AREA: the same five pieces always cover the same total, so an option with a different footprint is dead on arrival. EXTREME PIECES: compare the biggest piece to the biggest, the smallest to the smallest — a mismatch at either end eliminates the option without touching the middle pieces. Order of attack: total area, biggest piece, smallest piece, then the full one-for-one match on the (usually one or two) surviving options. Most of the four options never deserve the careful check.
Your Turn
Original pieces cover 3+3+4+4+2 = 16. Option B's pieces cover 3+3+4+4+3. Verdict? Check: 17 ≠ 16 — eliminated by area alone.
Watch Out
Options in real tests usually keep the same outer square — the area trick then works on PIECES, not the outline. Compare the extremes.
Explanation
Rotations and flips are where eyes get dizzy. The cure: describe each piece in words that SURVIVE turning — arm and foot lengths, not directions. 'An L with a 3-long arm and a 2-long foot' is true whichever way it spins or flips; 'the L pointing left' is useless after one rotation. When matching, check arm-lengths first: a 3-2 L matches any turned 3-2 L, and can never match a 3-3 L. If you're still unsure, rotate the OPTION page in your mind by quarter turns — one costume at a time, like the anchor-and-wrap habit from nets.
Your Turn
Piece: a T with a 3-long top bar and 2-long stem. After a half turn, describe it. Check: still a T, 3-long bar, 2-long stem — the words didn't change.
Watch Out
A flip can make an S-piece look like a Z-piece. With flips ALLOWED, S and Z of the same size count as the same piece; with flips banned, they differ. Read the rules line!
Explanation
The jigsaw toolkit: fingerprint every piece (nickname + square-count), run the free eliminations (total area, biggest piece, smallest piece), describe survivors in rotation-proof words (arm and foot lengths), and finish with a strict one-for-one match. Since these puzzles resist typed answers, the exercises below train the components — counting, fingerprinting, eliminating. And genuinely: tangram and pentomino games are real preparation for this question type. Play counts. Quiz and exercises!
Your Turn
Capstone drill: pieces cover 2, 3, 3, 4, 4 squares. An option's biggest piece covers 5. Eliminated by which check? Check: biggest-piece comparison — 5 ≠ 4.
Watch Out
Under time pressure, do the 10-second eliminations before ANY careful stare. Most options die cheaply; save the hard look for the finalists.
📌 Key Points — this lesson in a nutshell
  • Rotating and flipping keep a piece the same; changing size or shape makes it different.
  • Fingerprint pieces: nickname + square-count (bar-3, L-4). The count is the referee.
  • Free eliminations first: total area, then biggest piece vs biggest, smallest vs smallest.
  • Describe pieces in rotation-proof words — arm and foot lengths, never "pointing left".
  • The winner matches one-for-one: every original piece exactly once, no strangers.
  • Tangram and pentomino play is genuine training for this question type.
Step 1: Introduction
Step 1 of 5
Same five pieces, rearranged a square built from 5 different pieces "Which option square uses the SAME five pieces?" Pieces may be rotated or FLIPPED over — but never resized or reshaped. Turned and flipped pieces LOOK different but ARE the same piece. Changed SIZE or changed SHAPE means a different piece — that is what you are hunting for in the wrong options. Your job: match pieces one-for-one between the original and each option.
Count squares, count corners L-piece: 3 squares bar: 3 squares S-piece: 4 squares Give every piece a FINGERPRINT: its square-count and its nickname (L, bar, S, T, big-L…). Then check each option for the same set of fingerprints. A 3-square L can never match a 4-square L.
Areas must agree The original square covers, say, 16 little squares. Every correct option must also cover 16 — same pieces, same total. An option with a bigger or smaller footprint is wrong before any matching. Piece-level version: if the original's biggest piece covers 5 squares and an option's biggest covers 4 — eliminated, without checking the rest. Compare biggest-to-biggest and smallest-to-smallest first. Order of attack: total area → biggest piece → smallest piece → full one-for-one match on whatever survives.
Same L, four costumes rotated, rotated again, flipped — one identical piece Recognition trick: describe the piece in words that survive turning: "a 3-long arm with a 2-long foot at one end" stays true in every costume. "Points left" does not — never use direction words. Arm lengths and foot lengths are rotation-proof; directions are not.
Piece-matching mastery 🧩 Fingerprint pieces nickname + square-count for every piece Free eliminations first total area, biggest piece, smallest piece Rotation-proof words arm/foot lengths, never directions One-for-one match every piece once; four matches + a stranger = wrong Tangrams, pentomino games and jigsaw apps train exactly this skill — play is legitimate test prep here. Quiz and exercises!
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