AP: Many students were out because of the blood drive.
Honors: Projects due. Began discussion of anti-derivatives and the process of indefinite integration. Handed out introductory notes outline and looked at example involving velocity and position.
Here are some sample files from the project that I generated:
population: PDF / Excel
population rates: PDF / Excel
Tuesday
AP: Discussed how to find area of vertically oriented regions for functions of x in terms of y. Then moved on to the topic of Area Between Curves. Notes will be posted here. Collected book homework from last week.
Homework: Worksheet on area between curves, due Friday.
Wednesday
AP: Worked on area between curves homework in DS.
Honors: More on integration. Looked at graphs of f' and figured out what the original function f was. Also looked at graphs of f" and figured out the original f from that. Then looked at analytical techniques of integration, including the constant multiples, power rules, trig functions, and rational functions.
Homework: p. 249 #9-42 (multiples of 3) due Monday
Thursday
AP: Area of vertically oriented regions (integrating with dy) between two curves. Worked more on area between curves and looked ahead at volumes of revolution and known cross sections. Passed out review problems on Integration, selected problems due on Tuesday. Worked a multi-part problem in class, relating to tangent lines, the FTC, and extrema of functions defined by integrals.
Homework: Selected AP Problems on Integration: # 1092, 1093, 1095, 1097
Friday
AP: In DS, studied calculator techniques for graphing functions defined by y to help understand and then solve area between curves questions.
Honors: Looked at Galileo's gravity experiment where he determined that the acceleration due to gravity of a falling object on earth is -9.8 m/sec^2. Integrated to find general velocity function + C, then used initial velocity to find specific velocity function. Then integrated that velocity to find the position function, using initial position to solve for C again.
Homework: p. 249: #9-42 (multiples of 3), due Monday