Today we started by discussing his homework. Joshua ran into to a problem, but luckily it was the same thing each time. I showed him how to do the problems correctly, and then he re-worked each one himself. Next we covered how to solve various types of logarithmic and exponential equations. Some require using a calculator, and others the calculator is prohibited, so we are required to think creatively on how to rewrite numbers like 1/3 and 27 as the same exponential base. Joshua needs some more practices with these which we will do Monday.
As last night's reading again shifted from the first person to the third person, we extended our lesson from yesterday discussing how the author uses the third person in order to objectify his wartime experiences and thus enable him to face them. We learn that in contrast to the earlier fictionalized version of the death of Kiowa, it was not N.Bowker who is responsible for the death but the author whom he describes In the story as "the young boy or soldier." But it is not only the author who blames himself; the commander does too which leads the author to explore causation ultimately deciding that in a random war and a random world everybody and nobody is responsible . We discussed human nature's need for clear causation or blame which the author suggests is illusory,.
Today Joshua and I began by reviewing the problems he missed from his AP Classroom homework assignment. Overall, he did well. I explained to Joshua how to do the problems that he missed. One concept he misunderstood, we were able to address and correct. Next, we practiced a similar problem to make sure he understood, and he did. We then moved onto 2.13A Solving Exponential and Logarithmic Equations. These can be tricky since there are many different approaches to try, but not all of them work for the given equation. It comes with practice to recognize which approach works best. I showed Joshua how to solve several different problem types. Then he practiced 2 on his own. We also discussed that when we are done solving, we must check for extraneous solutions. Sometimes the algebra will produce a solution that when you check, it actually doesn't work.
discussed Hobbiton, differences between the German school system vs American, reviewed subjects and began reading Kap 12 Haus u Haushault - "What do Germans spend their money on?" p 342.