Today students completed their 3.1 - 3.6 (non-calculator) test. I hope you have an enjoyable Winter Break and happy 2013 to you!
Today we reviewed for our
test on 3.1 - 3.6 (tomorrow). It will be all no calculator and 18 questions. Due to my son being sick, I chose not to include 3.7 (optimization on this test). We will have 1 more mini-test before the end of the semester. First period did a lot of review problems together and periods 5 and 7 were advised to complete the following review problems on page 242 - 243 3, 7, 9, 13, 21, 23, 27, 29, 33, 37, 39, 47, 49, 51 (check yorAfter going over our 5 warm-up problems, we went over 3 more examples of optimization. Tonight's homework is to complete the problems #1, #2 and #4 on the inside of yesterday's WS 3.7 packet and to complete the last 4 problems from book assignment 3.7. Test on 3.1 - 3.7 will be this Friday, 12/21.
Here are a few more videos to watch for extra help: http://www.khanacademy.org/math/calculus/differential-calculus/v/optimization-with-calculus-1 http://www.khanacademy.org/math/calculus/differential-calculus/v/optimization-with-calculus-2 http://www.khanacademy.org/math/calculus/differential-calculus/v/optimization-with-calculus-3 http://www.khanacademy.org/math/calculus/differential-calculus/v/optimization--example-4 After our first 5 warm-up questions on logarithms, we went over three optimization problems. The goal is to write an equation for the function to be minimized or maximized. Then use the first derivative test (see section 3.3) to confirm that optimal solution.
Tonight's homework is book assignment 3.7 (do 2- 8 even) and on WS 3.7 do #1 and on the last page #5. For more examples use the links below: http://www.youtube.com/watch?v=Zq7g1nc2MJ8 http://www.youtube.com/watch?v=EOJbmMB8uCQ http://www.youtube.com/watch?v=IRWuAoqeeGM http://www.youtube.com/watch?v=-SQirLL_pqU http://www.youtube.com/watch?v=_oS_LjKse38 http://www.youtube.com/watch?v=_wsp2maK0w0 After our 5 question warm-up on logarithms, we went over the 3.5 book assignment. Then we discussed how students could use their knowledge from pre-calculus (domain & range, x & y intercepts, and symmetry) with their knowledge from calculus (sections 3.3, 3.4 & 3.5) to create sketches of various functions. Tonight's homework is book assignment 3.6.
Tomorrow I will collect book assignments 3.4, 3.5 and WS f, f', & f'', WS Point of Inflection, and WS function and its derivative match ( 1 -5 double-sided).The links below is a good review. http://www.youtube.com/watch?v=vOTTuZflAIM http://www.youtube.com/watch?v=0Fx6jec8SwY http://www.youtube.com/watch?v=DMYUsv8ZaoY Today we went over the 5 function graphs and matched them with their derivative graphs. We also answered a few lingering questions on 3.3 and 3.4 and read off answers to book assignment 3.4.
Students completed the quiz 3.3 - 3.4. Homework is to complete book assignment 3.5 and read section 3.6. Need help with limits at infinity? Check out http://www.youtube.com/watch?v=FVJNuukADeQ http://www.youtube.com/watch?v=75xO9xy7TTQ After our 5 warm up questions, we looked at matching a function with its derivative graph. We also went over a few more problems where we determined the extrema. Then we looked at infinite limits (end behavior from pre-calculus), doing about 4 or 5 examples.
Tonight's homework is book 3.5 and to be ready for Quiz 3.3 - 3.4 (no calculator). These are some good practice problems http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/liminfdirectory/LimitInfinity.html After our 5 warm-up questions, we reviewed concavity, extrema, and how to determine if a function is increasing or decreasing. We also quickly talked about how the second derivative test can be used to determine extrema.
Tonight's homework is to complete book assignment 3.4 and the worksheet packet that was receieved today in class. Quiz 3.3 After our 5 warm-up questions, we reviewed how to determine if a function is concave up or down using the second derivative. We also were able determine points of inflection. We also went over WS 3.3 (1-8) before it was turned in.
Tonight's homework is to work on the concavity problems on book assignment 3.4 and complete the worksheet packet receieved in class. For more help check out: http://www.youtube.com/watch?v=Q81gafPM5y8 http://www.youtube.com/watch?v=c1N8zyVhWxM http://www.khanacademy.org/math/calculus/differential-calculus/v/inflection-points-and-concavity-intuition http://www.cliffsnotes.com/study_guide/Concavity-and-Points-of-Inflection.topicArticleId-39909,articleId-39894.html Today we looked at how the sign of the second derivative indicates the concavity of the original function. We used the smiley face to help us remember when the second derivative is positive, then the original function is concave up.
Tonight's homework is to read section 3.4 and start working on the book assignment 3.4. Tomorrow I will collect book 3.2, WS MVTgraphically (spaghetti activity), Book 3.3, and WS 3.3 (1 - 8). |
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