Symmetry: carrying a figure onto itself
- Two lines, two questions — 3 tasks
- The fold is a reflection — 3 tasks
- Lines of symmetry — 3 tasks
- Turning a figure onto itself — 3 tasks
- What one symmetry forces — 6 tasks
- Practice — 23 tasks
- Summary — 2 tasks
- Cool-down — 3 tasks
Classroom activities
Things a class does rather than writes on. Each one is a finished PDF: print it, cut it up if it says so, and hand it round.
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Symmetry: Lines, Turns, or None? — Cut & Glue Sort 25 minutes · 5 sheets
12 shapes sorted by the kind of symmetry they have — only a line, only a turn, or none at all (only the full turn) — with the lesson's parallelogram, an S, a pinwheel and an irregular hexagon waiting for the student who tests only by folding, and an L that a line cuts into two matching pieces without being symmetric.
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Symmetry: Lines, Turns and the Full Turn — Answer Maze 10–15 minutes · 4 sheets
One page and nothing to prepare: 8 boxes, each a drawn shape — the parallelogram with no line of symmetry and a half turn, a regular pentagon's five lines, a hexagon's six turns with the full turn counted, a rectangle's diagonal, and the center of an S — where each wrong answer is a failure the teachers' card names, and leads to a box that sends you back.
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Symmetry: Is It a Line of Symmetry? — Mystery Picture 25–35 minutes · 4 sheets
25 squares, each a shape with one line laid across it: fill the square if the line is a line of symmetry. Seven of the white squares are lines that cut their shape into two matching pieces and are still not lines of symmetry — the parallelogram's diagonals among them — and when every square is right, a picture appears.