We spent the first part of the session reviewing inequalities and their manipulation and solutions from Algebra 1. We moved on to the Triangle Inequality Theorem and its converse, using numerical examples to illustrate the logic of both. We did a real-world example problem in which a landscaper had to locate two benches in the larger two angles of a triangular-shaped park
Assignment
None.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
Will's recall of inequalities from Algebra 1 is excellent! He seemed to grasp the triangles & inequalities issues quickly and easily.
We spent the first few minutes of the session going through homework problems from last week. We spent the remainder of the session working at the white board, sketching triangles and angle bisectors, perpendicular bisectors of triangle sides, medians and altitudes.
Assignment
None.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
This session was a scenario in which the one-on-one format was especially useful. Trying an exercise like this in a classroom of thirty students would have very limited utility. Will worked the whole time, I was able to make (limited) corrections immediately and the exercise seemed to cement his understanding of the material.
I substituted for Kevin today and had a great time with Will. He started out playing some guitar and drums, but for the most part, we listened to music. I set up my speakers and we alternated playing songs and talking about what we really liked about them and the thoughts they inspired.
Will did not take the computer home with him and did not have the paper completed by the today. We had a big talk about responsibility and commitment, but in the end, I cut him some slack and gave him an extension to Wednesday. I looked over what he has so far and I'm pretty impressed. He could use some work on his structure and style, but his understanding of the material is quite good. I look forward to the completed paper on Wednesday.
Will has made great progress on the paper, but needs to be sure to finish it by the deadline on Monday. I've given him the week in class to work on it, and have strongly encouraged him to take the computer home and work on it there. He has not exercised that option, but needs to do so this weekend.
Will continued to work on his paper today. He's come up with some very good ideas and is putting a lot of effort into the writing. He's doing much better at developing his topic sentences and providing support from the text. I'm very pleased with his effort so far.
This episode--"Countdown"--began with 15th century fortifications changing with the development of field artillery and the development of technology for mapping and surveying. It continued with the search for better illumination and more powerful lighting, the development of the telegraph and culminated with movies and television.
Assignment
None.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
We had sidebar discussions about how many of the artillery and mapping instruments are still in use in geometry applications in today's artillery.
We watched the latest episode of "Connections": "Eat, Drink and Be Merry.," which began with an illustration of tactical and weapons technology resulting in larger and larger military forces. This made feeding oceangoing fleets and armies on the march a critical problem. The French started by preserving food in wine bottles; the British followed with canning. Early in the twentieth century, Germans developed thermos bottles with other Germans adopted as part of rocket technology.
Assignment
None.
Session Minutes
60
Minutes Student Attended
60
Lesson Comments
We observed applied geometry in action, from the pike square of the Swiss to the rectangular, three-rank, pike-and-musket formations of the British.