Today Joshua and I continued working with sine, cosine, and tangent. We discussed how we could use both their graphs, and the unit circle to determine if the functions are increasing, decreasing, concave up or concave down. We also discussed how to use proper notation to support this information. Next, we went into our AP Classroom and worked on Multiple Choice problems from 3.1. We are getting close to the end of the material, but we are actually behind in our pacing. I am trying to urge Joshua to put some pep in his step during class, because every minute counts at this stage in the game. He has 2 months until his exam and we need plenty of time to review.
We completed reviewing study guide answers in preparation for tomorrow's final test on the play.We first explored the play as an illustration of how American humanistic values have deteriorated and thereby led Willy Loman to believe he is worth more dead than alive . Joshua did well in recognizing ,however, that Willy's suicide is in great part an act of love for his son as Willy believes that by leaving Biff the proceeds of his life insurance policy, Biff will admire him for leaving something of value to his family. In this regard, we studied how the symbolism of the seeds and planting a "garden" relates not only to the American Dream so often associated in literature with Eden but also as representative of a legacy, a future that will grow. Last , we examined how Charley's eulogy of Willy as someone we""dast" not blame evokes the archaic language of the past so associated with Willy's dreams and an American Dream eroded by lost cultural values.
Videoclips - watched German Interviews about "elektronische Geräte" and what devices Germans use - ie Smartphone, Tablet, Notebook etc. Began reading p 397, 398 about whether or not one could live without technology, esp a Smartphone. Translated most of the reading selection. To be continued tomorrow.
Also discussed and wrote out "Was hast du am Wochenende gemacht?" and translated what Joshua did over the weekend - Present Perfect
Today we started by reviewing our homework. Joshua did an excellent job. Next we had a 5 minute Unit Circle Quiz. Joshua got a 100% on it, whoo hoo. Then we took notes on 3.3A. We discussed how the values of x and y would change, if the radius of a circle was something greater (or less than) 1. Next, I showed Joshua how you can use the unit circle to graph the functions sine and cosine. We drew radians on the x-axis. Then at pi/2, I asked Joshua, what is the y-value there. He answered 1. Then I asked what it is at pi, he answered 0. We kept going until Joshua could see the pattern: 0, 1, 0, -1, 0, 1, 0, -1, etc. We connected the dots to create a smooth graph that is oscillating up and down. Joshua realized the connection. Then we did the same thing to create the graph of cosine. Joshua recognized that cosine graph is the same as the sine graph with a horizontal shift. I told him that is a property we will need to know and use, so what a great observation.
