For the first 20 minutes of class, students worked in groups to complete 5 review questions on 4.3. We went over all the solutions. Then we discussed the inverse relationship between the integral and derivative using the second fundamental theorem of calculus. We completed 5 examples and the 12 problems on the handout. Today's homework is to complete book assignment 4.4 tho
Students received their quizzes from this past Friday. We went over any remaining questions on book assignments 4.2 & 4.3. We discussed the Fundamental Theorem of Calculus (your book calls it part 1). We completed at least 5 examples.
Tonight's homework is to finish page 3 of the WS Approximating w/Rectangles and start on the book assignment 4.4. Quiz 4.2 - 4.3 will be this Friday, February 15th. Use the link below for another example: http://www.youtube.com/watch?v=nHnZVFeQvNQ http://www.youtube.com/watch?v=gjI2QEWUymo Looking for some more practice problems? Use the link below http://archives.math.utk.edu/visual.calculus/4/ftc.9/ Use the link below for good examples of both parts of the FTC and mean value for integrals. http://cims.nyu.edu/~kiryl/Calculus/Section_5.4--The_Fundamental_Theorem_of_Calculus/The_Fundamental_Theorem_of_Calculus.pdf Today students receieved WS 4.2/4.3 which has 6 problems to complete. Students also worked in groups to discuss their book assignments 4.2 and 4.3. These will be collected tomorrow with your practice Free Repsonse Question (your pick 2 out of 4)
After our warm up question we looked at the connection between the Riemann Sums and the definite integral. We went through 6 examples of how to use geometry to find the area under the curve. We also used the definite integral to describe a given area. Students completed a short partner quiz on 4.1.
Tonight's homework is book assignment 4.3. Bring your books to class on Monday so you can discuss your work on 4.2 & 4.3 with your peers. Use the video below for additional review http://www.youtube.com/watch?v=LkdodHMcBuchttp://www.youtube.com/watch?v=fjJYRapK3SY http://www.youtube.com/watch?v=vqSPGeYO2UA We started class with 4 review problems from 4.1. Then we looked at how to approximate the area under a curve by using inscribed or circumscribed rectangles. We went through 4 examples in class.
We also were shown how to use the DrawRect program for the TI -83/84. You should complete the two charts on page 3 of your packet using this program (only complete to n = 50). Homework is book assignment 4.2. Looking for more examples? Use the link below. http://www.youtube.com/watch?v=qcuq_BwckHM http://www.education.com/study-help/article/rectangular-approximations/ Today we went to the computer lab where juniors worked on the math area of Keytrain. Mrs. Gloss assisted them. Seniors had a study hall.
Today we used rectangles to approximate the area under a curve. We found the more rectangles that were used our approximation was improved. We discussed that height of the rectangle could be drawn to the left, right or middle. Students are to complete page 1 & 2 and page 4 of the Worksheet Packet Area Under the Curve.
The link below is what we used in class. Feel free to try it on your own to check your work. http://mathworld.wolfram.com/RiemannSum.html Today students picked up an AP FRQ packet. They are to complete 2 of the four questions or 3 1/2 problems. Tomorrow I will collect WS Antiderivatives #2 (both sides done), book assignment 4.1, and WS Accumulating Area.
Today we discussed the AP exam and how to sign up for it. We went over our first AP Free Response Question: AP 2012 FRQ #4. The link to the question and the scoring rubric is below.
http://apcentral.collegeboard.com/apc/public/repository/ap12_calculus_ab_scoring_guidelines.pdf We went through the first three pages of the Worksheet Accumulating Area. We used the area applet below. The big take away was that the Accumulating Area function was the antiderivative of f(t).Area applet http://calculusapplets.com/accumulation.html |
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