We began by going over the midterm exam, section a. Congratulations to Sophie and Petra on grabbing the top two scores. We went through each problem one at a time. Most of the first two pages can be solved easily using algebra or the calculator, and the majority of the class got these correct. We went over #5 in detail, since only a third of the class got it correct. We first looked at it graphically. 3100 is the y-intercept, and we are looking for where the graph reaches the y-value 6200. Algebraically, we found K, then we were able to plug the entire equation into the calculator. Next, we tested the different answers as y-variables, finding 44.3 to be correct. Questions six through eight were correct for the majority of the class. On section B, nine and ten were overwhelmingly correct. Most of the class missed #11. 12- 17 were answered correctly by most of the class. #18 was more difficult. #20 was also quite difficult.
Now to second semester. We will be studying trigonometry. Sin, cos, tan, and the inverse of each of these. We will look at a function such as f(x)= sin x
We will study certain types of triangles, such as the 45, 45, 90, or isosceles. Triangle side lengths of a,b, and h. h= a multiplied by the square root of 2.
Another type is the 30, 60, 90 triangle. We can think of this triangle as half of an equilateral triangle. Triangle sides of a, b, and h. a=1, b=square root of 3 h=2
Brief review of circle properties. To find arc length, given radius and angle. C=2(pi)(radius). Take the ratio of the angles, angle/360 multiplied by the circumference. This will give you arc length. Our homework is the Francois Pedometer packet. Nate will be the scribe next class.
Wednesday, January 27, 2010
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