Second Semester Reflections
Throughout this semester, I completed a handful of assignments, and I felt as I've displayed several of the Habits of a Mathematician through completing those assignments but I feel that I've displayed them the most during the final project for this class. The habits come the first domain of the Habits of a Mathematician and I feel as if I've displayed all of the, in the first domain. Below is the domain I'll be referring too.
Generating ideas
Formulate a plan - anticipate major intermediate steps
Generate multiple means of approaching a problem; brainstorm plans
Identify and apply appropriate mathematical tools (formulae, equations, diagrams, graphs)
Thr final project involved taking something from my internship and implementing mathematics into it. So what I chose to do was make a steadicam for my iPad, I wouldn't just make it off the bat. I'd have to ultimately do several calculations and make several sketches with the calculated number to determine the mass and volume of certain components of the steadicam. However I was unable to actually make the steadicam, but I still made the sketches and calculations. For starters, I be gang by formulating the plan on what I would have wanted my steadicam to look like, so I went about making several sketches in which I was proud of. After that I went about thinking on how I would calculate the volume and mass of the handles of the steadicam. I had finally found the volume by implementing the proper math to find the mass of acylindrical handle. I went about taking 3.14 multiplied by the radius squared and I multiplied it by the height of the hypothetical cylinder.
Generating ideas
Formulate a plan - anticipate major intermediate steps
Generate multiple means of approaching a problem; brainstorm plans
Identify and apply appropriate mathematical tools (formulae, equations, diagrams, graphs)
Thr final project involved taking something from my internship and implementing mathematics into it. So what I chose to do was make a steadicam for my iPad, I wouldn't just make it off the bat. I'd have to ultimately do several calculations and make several sketches with the calculated number to determine the mass and volume of certain components of the steadicam. However I was unable to actually make the steadicam, but I still made the sketches and calculations. For starters, I be gang by formulating the plan on what I would have wanted my steadicam to look like, so I went about making several sketches in which I was proud of. After that I went about thinking on how I would calculate the volume and mass of the handles of the steadicam. I had finally found the volume by implementing the proper math to find the mass of acylindrical handle. I went about taking 3.14 multiplied by the radius squared and I multiplied it by the height of the hypothetical cylinder.
Above are the sketches I created for the design of the steadicam
Reflection
Content Area
A content area I believe I have a firm grasp on is exponential growth and decay. It's a rather basic concept to master. An exponent is a factor that will either make a number grow or decay at a given rate. For exponential growth you can take a number like 6 and use exponents which can be worded 6 to the power of x. X can go in ascending order, so if it is 6 to the power of 2, you are doing 6 times 6. Or if it is 6 to the power of 6, you would be doing 6 times 6 times 6 times 6 times 6 times 6.
Exponential decay is basically the same concept but the base number is shrinking at a rate that is defined by a decimal. In order for exponential decay to work, you'll take a number which could be 6 again. Then we'd take an exponent which os a decimal, in this case will be .5. This would be seen as 6 to the power of .5 and 6 would decay.
Exponential decay is basically the same concept but the base number is shrinking at a rate that is defined by a decimal. In order for exponential decay to work, you'll take a number which could be 6 again. Then we'd take an exponent which os a decimal, in this case will be .5. This would be seen as 6 to the power of .5 and 6 would decay.
Habit of a mathematician
The habit of a mathematician I believe I have gotten a firm grasp on has been generating ideas, since it very general and a "habit" that comes easily. According to this habit, it involves formulating a plan, generating multiple means of approaching a problem, and identifying and applying appropriate mathematical tools. Which have all come after doing countless "explorations" at home along with POWs every week along with these "explorations."
Spreadsheet Workshop
Workshop Link
https://docs.google.com/a/animashighschool.com/spreadsheets/d/1x-Vy_-pn6GFNSSnqWlscDkqL7aRgnQLvep3QtHrcaQk/edit?usp=sharing
https://docs.google.com/a/animashighschool.com/spreadsheets/d/1x-Vy_-pn6GFNSSnqWlscDkqL7aRgnQLvep3QtHrcaQk/edit?usp=sharing