Finished the tangent line game.
Tuesday
Warm up was 2 more AP multiple choice questions dealing with derivatives. Extended packet due date to Thursday because of...senioritis maybe? Hmm. Started looking at a position graph and observed that the slope of the position graph (rate of change) would therefore be the velocity (defined as change in position per change in time). Looked at different notations for the concept of 2nd and 3rd derivatives, etc. and introduced the motion hierarchy (position-velocity-acceleration, in order of F, F-Prime, F-DoublePrime). Acceleration is the rate of change of the rate of change, or the distance per time per time or distance per time^2. Looked at a velocity graph and analyzed how it reveals both position and acceleration data in addition to the velocity values itself.
Notes from board
Homework
finish the AP packet from last week...will be collected Thursday!
Resources
basic concept of p-v-a: link
finding acceleration at a time given position function: link
find when a moving object is at rest: link
how to read a velocity graph link
Looked at another velocity graph (#9 on this handout)
Notes
Thursday
Warm up was to analyze position-velocity-acceleration from an algebraic perspective, given the position function and asked to when moments when the acceleration is zero. Turned in AP packets, then did another algebraic problem dealing with p-v-a, then did a variety of graphing/algebraic problems in small groups on whiteboards.
Notes from board
Homework
evens on this handout: link
next assessment is Thursday
Resources
graphical relationship between position and velocity and acceleration: link
finding acceleration at a time given position function link
find when a moving object is at rest link
how to read a velocity graph link
some more p-v-a basics: link