Semester Two
Exhibition Reflection:
I, along with 3 other people, presented the Free-Thinkers Football League POW. This POW gave a different variation of a scoring system for football and we had to figure out whether there was a highest impossible score with these two numbers. In order to prepare for exhibition, we got together as a group and discussed what sort of posters we would need in order to prepare our crowd, this way they would have a better understanding of how to go about solving the problem. We made several different poster, two of them were different variations of the problem and these showed how we solved them which would ultimately help those in our room figure out how to solve the initial problem. The other poster we made had the solution presented on it, and we had that set aside until everyone in our crowd thought they had the answer. This way we weren’t giving the answer right away, but we did have actual proof that we posted to prove what the actual correct answer was. We also assigned roles and chose who was going to present which part of the problem in order to prepare for exhibition night. Teaching this POW improved my understanding of the problem because it showed me how other people went about solving it, showing me different techniques. It also showed me different problem solving aspects that the others took in order to solve this problem.
I, along with 3 other people, presented the Free-Thinkers Football League POW. This POW gave a different variation of a scoring system for football and we had to figure out whether there was a highest impossible score with these two numbers. In order to prepare for exhibition, we got together as a group and discussed what sort of posters we would need in order to prepare our crowd, this way they would have a better understanding of how to go about solving the problem. We made several different poster, two of them were different variations of the problem and these showed how we solved them which would ultimately help those in our room figure out how to solve the initial problem. The other poster we made had the solution presented on it, and we had that set aside until everyone in our crowd thought they had the answer. This way we weren’t giving the answer right away, but we did have actual proof that we posted to prove what the actual correct answer was. We also assigned roles and chose who was going to present which part of the problem in order to prepare for exhibition night. Teaching this POW improved my understanding of the problem because it showed me how other people went about solving it, showing me different techniques. It also showed me different problem solving aspects that the others took in order to solve this problem.
Semester One
Cookies Unit
Throughout this unit, we focused on linear programming and systems of equations. During this unit, the center of attention was graphing and finding feasible regions to find answers including from maximum profits; a good skill to learn that I could use in the future. The central problem of this unit was to find out how many plain and iced cookies should be made to sell with specific constraints on dough, icing, space, and time. By graphing these constraints and finding the feasible region, we used a profit line to see how many of each cookie would make the highest profit. I feel like my graphing and algebra skills have improved through this unit. I learned how to graph in standard form better and I am more comfortable with skills like this.
This is an example of a homework that we did as a part of
this unit. We used the constraints given to find a feasible
region and then used a profit line to see what point in the
feasible region would give the maximum profit.
this unit. We used the constraints given to find a feasible
region and then used a profit line to see what point in the
feasible region would give the maximum profit.
Problem: You have 5 bales of hay but for some reason they were weighed in all possible combinations of 2 rather than individually: bales 1&2, bales 1&3, bales 1&4, bales 1&5, bales 2&3, bales 2&4, and so on. The weights of each of these combinations were written down and arranged in numerical order, without keeping track of what weight matched which pair of bales. The weights in kilograms were 80, 82, 83, 84, 85, 86, 87, 88, 90, and 91. Our task was to find the initial weights for each bale, and to see if there is more than one possible weight for each bale.
How I solved it: For this pow, I began with writing out all of the possible combinations of bales of hay. I then used a whiteboard and randomly picked numbers to plug into the equations. After coming up with all numbers for bale one options, I moved onto bale 2 plus bale 3, which typically proved whether the numbers were correct or not. By going through this process, I eliminated possible numbers for the weight of bale one as I progressed; such as 41, 36,and 44. The way that I decided to go about this problem was fine, but I wished that I would have found a more quick and efficient way to find a solution that wasn’t guess and check. I never found another way to solve the problem. I am unsure if there is another whole number answer to this problem, but I do know that there is at least one (possibly more) decimal answer to this problem.
How I solved it: For this pow, I began with writing out all of the possible combinations of bales of hay. I then used a whiteboard and randomly picked numbers to plug into the equations. After coming up with all numbers for bale one options, I moved onto bale 2 plus bale 3, which typically proved whether the numbers were correct or not. By going through this process, I eliminated possible numbers for the weight of bale one as I progressed; such as 41, 36,and 44. The way that I decided to go about this problem was fine, but I wished that I would have found a more quick and efficient way to find a solution that wasn’t guess and check. I never found another way to solve the problem. I am unsure if there is another whole number answer to this problem, but I do know that there is at least one (possibly more) decimal answer to this problem.