DP Update #1
At the beginning of the trigonometry unit we attempted to prove the Pythagorean theorem. We were already familiarized and comfortable with the Pythagorean theorem last year but this was a good refresher. In class we worked on a problem that used tiles to help us try and prove the theorem. This worksheet showed two different tiles, each with four congruent right triangles. But one tile has one square whilst the other has two. We used the Pythagorean theorem to prove that both sets of triangles were indeed congruent.
POW writeup
The problem of the week, or Dr Drew goes bananas, is an assignment we were given with the objective of finding the amount of bananas given a certain set of rules. Dr Drew owns 3000 bananas and he has to walk 1000 miles for some reason to sell them. He somehow consumes one banana for every mile and he can also hold 1000 bananas at a time. He can go back and grab more bananas, how many bananas could Dr Drew sell?
Temporarily holding off on the stupidity of this question, my brain came to the conclusion that Dr Drew would die before he sold any banasas. A few reasons came into my head as to why he would die. A potassium overdose, exhaustion, preadators, dehydration due to vomit, and melanoma. As I asked more questions about his situation i found out more and more details that would make my work more presice. I calculated his body mass index (bmi), i found out how much water and rest he got a day, how fast he walked, and the location of his travels. After aquiring this information i came to one obvious conclusion. This modified version of the problem wasted an hour of my life that i will never get back. I will regret this decision until the day I die.
So back to the original problem, how many bananas can Dr Drew reach the market with. Well if he walked straight there without walking back, he would sell zero bananas. So what if he stashed his bananas? If he walked 250 miles, then dropped 500 bananas, walked home and refilled to 1000. Then walked 500 miles (and refilled 250 at the 250 mark) and dropped off 500 at the 500 mile mark, hed have just enough bananas to get back to his 250 reserve and refill toget home. By this point hed refill and have 250 left in the barn and have 1000 on his person. now he can walk to the 500, regain all of his bananas and walk all the way to the store to sell 500 bananas. Although he would still have 250 in his farm, Dr Drew would have to settle for medeocrity knowing that the walk home is going to kill him anyways.
The habits i used were looking at things from a new angle, as we saw with my whole tribulation with the first problem i tried. Then i used groupwork to try and find an answer. After i realised that all the people i talked to were wrong, i tried changing their methods to create my own answer. And the only questions this problem of the week left me with was, why does a so called "complex school" have a math system that makes highschoolers work with bananas as subsitute for simple numbers?
Temporarily holding off on the stupidity of this question, my brain came to the conclusion that Dr Drew would die before he sold any banasas. A few reasons came into my head as to why he would die. A potassium overdose, exhaustion, preadators, dehydration due to vomit, and melanoma. As I asked more questions about his situation i found out more and more details that would make my work more presice. I calculated his body mass index (bmi), i found out how much water and rest he got a day, how fast he walked, and the location of his travels. After aquiring this information i came to one obvious conclusion. This modified version of the problem wasted an hour of my life that i will never get back. I will regret this decision until the day I die.
So back to the original problem, how many bananas can Dr Drew reach the market with. Well if he walked straight there without walking back, he would sell zero bananas. So what if he stashed his bananas? If he walked 250 miles, then dropped 500 bananas, walked home and refilled to 1000. Then walked 500 miles (and refilled 250 at the 250 mark) and dropped off 500 at the 500 mile mark, hed have just enough bananas to get back to his 250 reserve and refill toget home. By this point hed refill and have 250 left in the barn and have 1000 on his person. now he can walk to the 500, regain all of his bananas and walk all the way to the store to sell 500 bananas. Although he would still have 250 in his farm, Dr Drew would have to settle for medeocrity knowing that the walk home is going to kill him anyways.
The habits i used were looking at things from a new angle, as we saw with my whole tribulation with the first problem i tried. Then i used groupwork to try and find an answer. After i realised that all the people i talked to were wrong, i tried changing their methods to create my own answer. And the only questions this problem of the week left me with was, why does a so called "complex school" have a math system that makes highschoolers work with bananas as subsitute for simple numbers?
Measuring your world
I worked with Jeremy and Matthew to find out the volume of a 40 oz. waterbottle. Now it seemed like a stuoid idea untill we found out neremy was being robbed because the waterbottle was 39 oz. Click the button to see all of our work and descriptions of our work process.