Passed back related rates assessment and gave out list of learning targets for quarter. Gave practice assessment and time to work on it and the handout from Friday.
Homework
- complete practice assessment [blank] [solutions]
- complete worksheet from Friday, 24 problems of your choice [see Friday's post for details]
Resources
- reverse chain rule: link
- reverse power rule rationale: link
- many great integral examples!!! link
Took assessment on integration and reverse chain rule in DS. Warm up dealt with rewriting an integrand before integrating. Did another u-substitution problem. Reviewed summation/sigma notation and its basic use and properties before diving into "definite integration" and how it is different than indefinite integration. Looked at the "area problem" [how do you find the area of a weirdly shaped space? Answer: find the area of infinitely thin rectangles and add up their individual areas). This led to Riemann definition of definite integral and we began using approximation methods to find estimates for Riemann sums.
Notes from board (including front side of handout)
Homework
none
Resources
none
Warm up dealing with simple trapezoid area problems. Worked through 2 reverse chain and power rule indefinite integrals involving trig and natural logarithms. Passed back assessments, then reviewed Finding C in the context of the falling object equation derived from the acceleration due to gravity (-32 ft/s/s). More on that later. Went back to talking about area and worked through an RRAM and LRAM approximation for the area enclosed by a polynomial function and the x-axis.
Notes from board
Homework
p. 263 #35-30
AND
watch video here: link
Assessment Monday?? Basic antiderivatives and U-substitution !!!
Resources
example of how to approximate definite integral using rectangles: link (made by me :)