Fold a real paper heart in half at the front so the halves match, then slowly turn a square card through one full turn. Take three hands-up answers for the turn count before saying anything.

The point of the hook is to plant the two different ideas side by side: folding (line symmetry) and turning (rotational symmetry). Don't name either yet — that lands in the next step.

Read the two tests out plainly and keep the words 'fold-line' and 'turn-match' on the board as your key language for the rest of the lesson. Point back to the heart (a fold-line) and the square (a turn-match) from the hook so both words have something to hold on to before any counting starts.

Run the folding shapes first, then the turning shapes — keep the two ideas in separate blocks so pupils don't blur them.

• Heart — one fold-line only; ask why the horizontal fold fails (top and bottom don't match).
• Rectangle — the grid draws both of its fold-lines: one straight down and one straight across. The on-screen count of 2 is the whole answer, nothing is hidden.
• Square — the grid draws all four of its fold-lines: vertical, horizontal and both diagonals. The on-screen count of 4 is the whole answer.
• Square, order 4 — matches every quarter-turn.
• Triangle, order 3 — matches every third of a turn.
• Letter S, order 2 — this is the one to slow down on. It has no fold-line at all, yet it matches after a half-turn. Hold this back as the surprise: a shape can turn-match without any fold-line.

Remind the class that the starting picture counts as the first match, so their count matches the stated order. Do not announce the S result — let the class count the turns and discover it.

Talk this one through together — pupils take turns at the board and the class agrees or corrects out loud.

Tap the first cell and let the tool shade its three mirror partners at once across the vertical and horizontal fold-lines. Pause and ask how many cells lit up this time, and why? Build the pattern up cell by cell so the mirror idea stays clear.

When the board pattern is finished, run a short folding sub-beat: pupils fold the paper shapes from the printed sheet at their desks (square, rectangle, kite, isosceles triangle), then report the fold-line count they found on each. Do the folding after the board work, not alongside it, so the beat stays easy to time.

Keep it moving — a couple of taps per pupil, then pass on.