Most days, the first ten minutes of class are a number talk: one prompt on the board, no pencils, no calculators. You think, then you defend your reasoning aloud while we listen for paths unlike our own. The prompts have grown up one last time — slopes, limits, motion, and vectors now sit where last year’s logarithms did — but the rhythm has not: there is no single right method, and reasoning is defended in public. This is the calculus room, the course the other courses were walking toward, and these ten minutes are still where the sharpest thinking of the day tends to happen.

TalkWhat it trains
Graph TalksReading a story out of an unlabelled graph
Estimation DuelsCommitting to a number and bracketing it
Which One Doesn’t BelongNaming properties precisely
Visual PatternsSeeing the general in the specific
Number StringsLetting one problem unlock the next
True or FalseTreating an equation as a claim to test
Always, Sometimes, NeverDeciding how far a claim stretches
Would You RatherBacking a choice with mathematics

Why speak before you are certain? Because Mistakes Are Data.