AP: Began volumes of solids with known cross sections. Looked at 3-dimensional space in XYZ and how to represent the base region in 3D and examined real life examples of the concept of cross-sectional slices (cylindrical cakes, Ritz crackers, etc). and realized that the sum of the individual areas times their infinitely small depths would give the entire volume.
Homework: Finish selected AP problems on integration for Tues.
Honors: More work on Anti-Derivatives
Homework: p. 249: 9-42 (multiples of 3) extended to Weds.
Tuesday
AP: More on volumes of cross sections. Looked at square, semi-circular, equilateral, and isosceles cross sections and worked on calculating their volumes.
HW: Practice problems 1-6 on this handout
Wednesday
AP: In DS, worked through AP problem related to area of a region between curves and volumes of known cross sections. Picked up Sample AP Problems hw from before.
Honors: Natural logarithms and anti-derivatives; anti-derivatives involving substitutions; recognizing the reverse chain rule.
Homework: worksheet
Thursday
AP: Volumes of solids of revolution. Disk method, washer method; for vertical and horizontal axes of revolution; with rotation along the axes, as well as lines not tangent to the rotated region.
Homework: worksheet; due Tuesday
Friday
AP: Worked on volumes of revolution problems in DS.
Honors: Many absences; looked into math puzzles, brain teasers, and other applications of math (Bridges of Koenigsberg, etc.)