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: Find the Minimum Value of f(x,y) = (x-a)² + (y-b)² + c
How the beat teaches it: Every slot gives a paraboloid in this shifted form — both partial derivatives are zero exactly at (a,b), and since every squared term there is 0, the minimum value is simply c. Build that many notes anywhere in the kit.
This is lesson 9 of 24 in RockBlocks Math, Calculus III, a free course where every lesson turns a math idea into something you can count, hear, and play. The previous lesson, “Directional Derivative,” covered compute the Directional Derivative in the Gradient's Own Direction. Next is Lesson 10, “Double Integral of a Separable Function.”
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.