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.

🎵 Discrete Math Lesson 4: Cartesian Product — Find |A × B| = |A| × |B| mess around all you want, nothing here saves
133 BPM
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🎯 Lesson: 0/4 · 🥁 0 solved · 0 badges

Discrete Math, Lesson 4: Cartesian Product

Math skill: Find |A × B| = |A| × |B|

How the beat teaches it: Every slot gives |A| and |B| — the Cartesian product pairs every element of A with every element of B, so its size is |A| times |B|. Build that many notes anywhere in the kit.

This is lesson 4 of 24 in RockBlocks Math, Discrete Math, a free course where every lesson turns a math idea into something you can count, hear, and play. The previous lesson, Set Complement,” covered find |Aᶜ| = |U| - |A|. Next is Lesson 5, Power Set Size.”

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.