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There are 56 sheets and no required order. If you would rather not choose, here is a first thirty nights that alternates the school course 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. Euclid's algorithm
2. One, none, or infinitely many
3. Proofs without words
4. Multiply by 1
5. The birthday paradox
6. Why slope is the same everywhere on a line
7. Why a typo in your card number gets caught
8. Why a⁰ = 1 and a⁻³ = 1/a³
9. The Chicken McNugget problem
10. Pythagoras, distances, and the diagonal of a box
11. Why there are exactly five Platonic solids
12. Reading a line at sight
13. Counting fish you cannot see
14. Two equations, two unknowns
15. The last digit of 7²⁰²⁴
16. Why a triangle's angles add to 180°
17. Agreeing on a secret in public
18. Up 20%, down 20%
19. When both groups improve and the total gets worse
20. Turning 0.272727… back into a fraction
21. The shoelace formula
22. Slide, flip, turn, scale
23. The snowflake with an infinite edge
24. "At least one": the complement trick
25. Why speed squared matters
26. Linear or not?
27. Trapping π between polygons
28. Expand and factor
29. What "70% chance of rain" means
30. Strategy stealing

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