Midpoint on a number line and in the plane
- Three answers, two of them equal — 3 tasks
- Half a distance is not a location — 3 tasks
- The midpoint in the plane — 3 tasks
- Going backwards — 3 tasks
- A triangle from its midpoints, and two routes — 5 tasks
- Practice — 28 tasks
- Summary — 2 tasks
- What went wrong, and the two directions — 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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Midpoint or Other Endpoint — Cut & Glue Sort 25 minutes, including the cutting · 5 sheets
12 short questions about a point on a number line or in the plane, sorted without working anything out into add the two and halve, double the midpoint and take away the endpoint, or cannot be found — where the letters move, and a length or an axis is not a clue.
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Midpoint on a Number Line & in the Plane — Answer Maze 10–15 minutes · 4 sheets
One page and nothing to prepare: 8 boxes, each asking for a midpoint or the other endpoint, on a number line or in the plane — where the wrong answer is half the distance, or the wrong two numbers averaged, and leads to a box that sends you back.
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Midpoint on a Number Line & in the Plane — Mystery Picture 25–35 minutes · 4 sheets
25 squares of squared paper with no coordinates on them, each with three dots A, M and B: count the steps across and up from each end, fill the square only where M is the midpoint of AB, and a picture appears.
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Midpoint on a Number Line & in the Plane — Scavenger Hunt a full class period · 13 sheets
16 cards round the room: the midpoint of two points on a number line or in the plane, or the other endpoint from one endpoint and the midpoint — forwards and backwards interleaved, a wrong answer lands on a card that sends the group back, and a clean run is 8 lines on the record sheet.