Took assessment on u-substitution, finding C, and advanced antiderivatives.
Homework:
p. 263: #25-28 (due Fri) [I-U3a[
Resources
video by me! for you! enjoy!!!! link
Went over assessments in DS. Continued discussion about the relationship among area, antiderivatives, summation, and net change. Looked at examples involving velocity (pg 2 of stapled handout from Friday) and how the area under the velocity graph produces displacement. Saw in 3 geometric examples (rectangle, triangle, trapezoid) that the construction of the area function makes a function A(x) which is the anti-derivative of the area bounded.
whiteboard notes
some intuition of this concept: link
distance traveled as area under velocity: link
area under velocity-time as accumulated distance: link
Homework:
p. 263 #25-28 (due Fri) [I-U3a]
Indefinite Integrals test on Monday: study guide here
next assessment: Wednesday, covers left and right Riemann sums
Resources:
hw help video posted above under Monday
left endpoint approximation: link
right endpoint approximation: link
assessment review; finding C link
Solved Babylonian trapezoid area under velocity graph problem to calculate displacement. Then looked at LRAM and RRAM homework. Looked at visual interpretations of Riemann sums. Then investigated Riemann sum from a different perspective: the Midpoint Riemann sum. We did this from a table, rather than a graph. [I-U3bc]
Here are the whiteboard notes.
Homework
- Due Friday: p. 274 #47 and p. 288 #6-30 (multiples of 3), 67 [I-U5] [use your calculator to check; forgot? here]
- Assessment on LRAM and RRAM Wednesday
- Indefinite Integrals Test on Monday; here are the study guide letter answers: