Talked about area between curves in DS and worked through some more practice assessment problems including Riemann definition of definite integral, applying that definition, and midpoint rectangle approximation method (MRAM) using a function instead of a table.
Then reviewed some physics concepts including the hierarchy of Position/Velocity/Acceleration. Here it is:
Then passed out handout dealing with properties of definite integrals which goes with the video below.
Homework
For Friday:
- Turn in test corrections if you haven't yet
- Finish area between curves hw from last week if you haven't (see last week's post for help)
- Watch and take notes on this video:
- Assessment on Monday 2/22 covering area under curves analytically and area between curves analytically
- HW due Monday: p. 274 39-44 (I-U7)
- Big honkin assessment on Monday 2/29: keep working on study guide [solutions posted here!!!]
Resources;
- a video similar to mine, with some more analytic approaches: link
-another, with some nice examples: link
- simple examples to assist with p. 274 hw link
- more complex examples for p274 hw link
Answered a few questions dealing with area between curves homework. Then talked about definite integral properties and how to visualize given information, thereby approaching problems both analytically and graphically. Worked through a few of the p. 274 hw problems in class. Then had a fire drill.
Then played a Matching Game involving graphs of functions and number-line interpretations of the first and second derivatives. This helped review the concept of curve sketching and function behavior ahead of the big assessment on 2/29.
Homework:
-Due Monday p. 274 #39-44 (I-U7)
- Assessment Monday on area under and between curves
Resources
- For help w/ p274 hw see Wednesday's post above
- area under curve examples: link 1 link 2 link 3
- area between curves examples : link 1 link 2