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There are 48 sheets and no required order. If you would rather not choose, here is a first thirty nights that mixes school math with new ideas and keeps the surprises coming. Each is ten to fifteen minutes; the starred problem is extra. Tick each night off.

The first thirty nights

1. Proof by infinite descent
2. Why radians
3. The cubic formula, and the numbers it forced into existence
4. Reading a sine wave
5. Dropping needles to find π
6. sin(A + B), from a picture
7. Predicting the tide
8. Triangles without a right angle
9. How many different necklaces?
10. Straight lines hiding in curved data
11. Expectation adds, even when nothing is independent
12. All the solutions
13. Fifty years of doubling
14. Dividing in clock arithmetic
15. Dividing by a complex number
16. The bottleneck theorem
17. Splitting an arrow in two
18. Newton's method
19. The average outcome and how far it strays
20. Why the rainbow is at 42 degrees
21. Count it twice
22. Three equations, three unknowns
23. Where should the penalty taker aim?
24. Sequences that feed on themselves
25. How far can a stack of books lean?
26. The line of best fit, computed
27. Why insurance works
28. Guess rⁿ
29. Plus or minus three points
30. A shape of dimension 1.26

After night thirty, pick whatever looks interesting. The Connections sheets are good for tired evenings: more reading, less calculation. The demos are for screens, five minutes each.

Tick-off card

Every grade 11 sheet. Print this page, stick it somewhere visible, and tick them off. Finish a whole track and tell someone.