Learned about volume by cross sections, worked a few examples to set up integrals. These two applets are good for visualizations; link1 link2
Notes from board
Homework
finish handout from last class (blank copy)
test is Thursday
Resources
semi circle cross sections: link
square cross sections: link
isosceles triangles with hyp in plane: link
equilateral triangle cross section: link
Reviewed average value, looking at why the formula works through several lenses including rearranging area under a curve into a rectangle and using the derivative Mean Value Theorem in tandem with the FTC2. Gave out 4 AP volume FRQ problems to practice on, then the practice test.
Notes from board
handout with 4 AP FRQs (google solution guides for answers)
Homework
do the practice test (blank copy) (SOLUTIONS)
test Thursday
Resources
disc method: link
another disc method: link
washer method: link
x-axis rotation: link
washer method with axis above region: link
washer method review : link
washer method volume, vertical axis: link
volume by cross section, isosceles triangles with hyp in plane: link
semi circle cross sections: link
square cross sections: link
Average Value: link
Average Value, interpretation: link (starts at 2:16)
Practiced setting up integrals for all types of volume problems with a handout that mimics the notes linked below.
Notes from board
Thursday
Started differential equations unit and made a slope field. Took assessment.
Notes from board
Homework
#1-6 on the handout (blank copy)
Resources
making a slope field: link
matching slope fields: link