168 BPM
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4/4 ×2
Drag rhythmic values into up to 8 beat blocks per line to build a drum groove, or click a tile then click a block to place it — handy on a trackpad.
Math skill: Compute a × b, Confirming It Equals gcd(a,b) × lcm(a,b)
How the beat teaches it: The last lesson of Number Theory: every slot gives a and b — compute their product directly, which the whole course has shown always equals gcd(a,b) times lcm(a,b). Divisibility, factorization, and modular arithmetic all trace back to this same handful of numbers behaving predictably together. Build that many notes anywhere in the kit.
This is lesson 24 of 24 in RockBlocks Math, Number Theory, a free course where every lesson turns a math idea into something you can count, hear, and play. The previous lesson, “Quadratic Residues,” covered count the Nonzero Quadratic Residues mod p. It is the final lesson in this grade.
Every slot above (A, B, C, D) is its own question, and it’s a real, blank RockBlocks beat the whole time — the same drag-and-drop tiles, kit, tempo, sheet music, and drummer view as anywhere else on the site. Tap ❓ Questionin the corner to read the current slot’s problem, build your answer right in the grid, then tap ✓ Check Answerto grade it. Once you’re done, keep going: expand the beat, drop it into a Stack, or save a copy to your own page — nothing here overwrites the lesson itself, so every visitor still starts from the same blank slots.