Points, lines, planes, and precise definitions
- Two questions a picture does not answer — 6 tasks
- Every definition of a line borrows a word — 3 tasks
- Three words we never define — 3 tasks
- What the drawing does not give you — 3 tasks
- Going Deeper — 6 tasks
- Practice — 27 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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What a Figure Tells You — Cut & Glue Sort 25 minutes, including the cutting · 5 sheets
12 small lettered figures, each with one sentence, sorted into true, false and impossible to tell — where a point past the arrowhead is on the line, the center is not on the circle, and a crossing that only looks square tells you nothing.
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Points, Lines & Rays — Answer Maze 10–15 minutes · 4 sheets
One page and nothing to prepare: 8 lettered figures, and at every box two answers — the one the definition gives and the one the drawing seems to give — with the drawing's answer leading to a box that sends you back, and the row of box numbers at the foot to mark it by.
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Points, Lines, Rays & Circles — Mystery Picture 25–35 minutes · 4 sheets
25 figures and no numbers: a line, a ray, a segment, an angle or a circle, and one point P — fill the square where P is on the object, even past the end of the ink, and leave it white where it only lines up with a stroke.