This week I got through three exercises and one unit test, which on paper sounds pretty good but the truth is my effort was pretty poor. I only studied for around 4 hours, which I have no excuse for. What makes it worse is that I found all of the questions I worked through super easy, so I should have gotten WAY further along than I did… A Catch-22 about the questions being so simple was that I would glance over them, assume I knew when was being asked without properly understanding the question, and then get it wrong because I too hastily picked an answer. When that happened, I often stopped on KA completely being annoyed and thinking that the exercise was so easy I’d just come back to it the next day. Before I knew it, it was Saturday and I had only made it through two exercises. I finished the week strong(ish) getting through one exercise and the unit test on Saturday, and then another exercise on Sunday. But even still, not my best effort to say the least. I at least made some progress though and am now 95% of the way through Geometry, so I’ve got that going for me which is nice.

Here are questions from the three exercises and unit test I did this week:

Exercise 1 – Pythagorean Theorem in 3D

Question 1

I answered this question before writing out the note you see above, and I was about 99.9% sure I was right in thinking a² + b² + c² = d². I think the first time I saw Pythag’s Theorem (PT) in 3D like this was in calculus and it was just briefly mentioned. I don’t think I even worked on any questions that used this 3D version of PT, so although I was fairly confident I was correct, I was still pretty pumped to get this question correct.

Question 2

I didn’t make any notes in my notebook for this question (or for any the next six questions). It was pretty obvious that I needed to divide the base by two and then use PT. Simple stuff.

Exercise 2 – Use Ratios in Right Triangles

Question 3

It took me a while to read through this question and understand what it was saying, but I eventually made sense of it and multiplied 3 by 2.14 based on what the table was saying for TOA at 65° to get the solution.

Question 4

This was clearly a very simple question where I just needed to find the triangle that had the same angle as the triangle with the side MO on it and then do some algebra using the values of the hypotenuse and adjacent sides of each triangle to solve for MO. 

Exercise 3 – Relate Ratios in Right Triangles

Question 5

I ended up getting through this third exercise in about five minutes on my first try. All the questions looked like this and the next one and were pretty easy, but it did take me a minute to think through the multiple-choice answers. All the options were different ways of saying/thinking about SOH CAH TOA, so I just needed to figure out which answer was equivalent with what shown on the diagram. Pretty straightforward.

Question 6

Unit Test – Right Triangles and Trigonometry

The unit test was ten questions long and I managed to pass it in about ten minutes on my first attempt—which I must say, I was pretty pumped about. All the questions were easy and just required me to used trig operations which I did on my calculator. I didn’t write out any notes, but here are two questions from the test: 

Question 7

Question 8

I started the unit Analytic Geometry on Sunday and was hoping to get through the single exercise I needed to do and the unit test, but I kept making careless mistakes on the exercise and, although I did end up passing it, it took me a while, so I decided to wait until next week to do the unit test. Here’s one of the questions I did:

Exercise 4 – Classify Figures by Coordinates

Question 9

All of the other questions in the exercise were similar to this one. I’m not sure if I was supposed to use Desmos (I probably wasn’t…), but that’s what I ended up doing which made the questions simple to solve/understand. The reason why I was making careless mistakes was because I either misread what the question was asking for or I inputted the wrong coordinates into Desmos. 🤦🏻‍♂️ In any case, there weren’t any questions that came up where I didn’t know what was going on or what to do to solve them (unless I misread it) and I was glad that nothing came up that I couldn’t remember how to solve.

And that was it for this week. As I said, I need to get through the unit test for Analytic Geometry, but after that I only have one more unit left to get through, Solid Geometry. There are four exercises I need to do in that unit before redoing the unit test, so it’s not likely I’ll get through everything by the end of next week. That said, it’s not completely out of the question that I get it all done, and I would be PUMPED if I could make it happen. (It would make up for my poor effort this week.) So, as usual, fingers crossed I can make it happen! 🤞🏼