Week+11+Oct+27-31

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**Monday October 27**
Today we got our tests back. The high score was 48 raw points. I couldn't make a Halloween-themed slideshow because the big pumpkin got in the way of the actual smart board pictures. After reviewing our tests, we determined that differentiability implies continuity, and that differentiability is also a hard word to spell. On the other hand, continuity does NOT necessarily imply differentiability.

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Tuesday October 28
Today we did a worksheet about continuity and differentiability. Differentiability implies continuity, but continuity does not imply differentiability.

The worksheet, with answers is shown below; the answer to number 4 is: None of the statements must be true. The graph could have a hole. media type="custom" key="2398333"

Thursday October 30
Today Ms. Gentry began by answering various homework questions and working out the complete problems. Some students still had trouble with the new concept, so she showed more steps and used friendlier derivative notation while solving some similar problems of her own creation. media type="custom" key="2416639" Ms. Gentry then introduced a new, unique problem:

In part a, we had to make sure that the point (10, -8) could be found on the graph of the hyperbola by using an x value of 10 and y value of -8 in the function of the hyperbola. Then we used our current skills to find the derivative of the hyperbola at the point (10, -8). We got a derivative of -5/4, a reasonable derivative because the derivative appears to be negative and close to 1 at (10, -8). We then began another unique problem about the Ovals of Cassini. We started by finding the general derivative of the function by splitting the function into two parts, finding the derivative of each part, and using both parts to do the product rule. We did not finish the problem as the bell rang in the middle of our discussion.



Friday Oct 31st
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