Unit 1, Day 7

Agenda

1. Number talk: Number Strings — $7$, $6.1$, $6.01$, … what comes next, and where is the string headed?
2. Random groups — Zooming In at the boards: magnify a curve at a point until something gives
3. Discuss: which graphs straightened, which refused — and what, exactly, does a corner cost a curve?
4. Consolidate: local linearity — the straightened line’s slope is the number your secants were chasing on Day 2
5. The zoom moves you used today, collected: Using Desmos

Things to do before our next class

• Journal: zoom in on $y=|x|$ at the origin. Why does it never straighten, no matter how far you go?