Skip to main content

Integration and its almost vacation.

     This term in our elective 'Intro to Calculus' class we moved on to learning about the reverse power rule and the antiderivative.  It was kind of eye opening and trippy when finding out that the you can get from the derivative and anti derivative and back using the two power rules.  It was just simply interesting that they both go into one another in somewhat of a loop.  It was difficult following all the different formulas but once you had them memorized somewhat it was quite simple and ingenious.  For our action project we were given two numbers that we had to turn into a function of are own.  We took that function and graphed it so we could first create an estimate before doing the definate integral formula to get the exact area of our function. Here's how it turned out.


After finishing THE LAST 'Intro to Calculus' AP I feel both relieved and ready for Junior year with a solid foundation in calculus.  I feel like the best way to finish off this AP is to explain from my understanding exactly what calculus is: Calculus is a math skill that deals in finding the difference in one point to another through the means of derivatives and anti derivatives.  Through this means we can calculate slopes or areas of things that fall out of the scope of regular geometry.  I would say this action project took a lot out of me.  First of all I feel much more proud of this one than the last one.  I feel like I applied myself better and ended up understanding this concept better than I did the last (huge win).  I also want to note for future reference that one thing that stuck out to me as difficult was the the estimate portion. I genuinely didnt know I could input it all in at once into Desmos.  Over all this was a fun and thought provoking class that really challenged me with all knew math theory.  10/10 would take again.

Comments

Popular posts from this blog

Drippy Stats

      This week at my unorthodox, project based high school, GCE lab school, we have finished up with our first Action project of the year for our water class. An action project is a project we complete that can be used to broadcast and show our learning in a unit, this unit we learned about conversions, fractions, and part vs. Percent. These topics were then applied to the real world when we learned about how many around the world do not have easy access to clean water and how this means that many around the world must walk long distances every day to bring home surface water to sustain themselves and their families.  This units action project echo's what we've learned and has provided us an opportunity to teach others about this ongoing tragedy.     to get some perspective on water usage we used a website to calculate approximately how much water we use on a daily basis, I learned that I use about 161 gallons of water daily which I found out is MORE ...

Papaya Pete

Papaya Pete Welcome to our first unit of Food For thought! A class where we talk about the Anthropological and historical ideas that food takes us including where it came from and how that in turn informs us about ourselves. Did you know that corn has domesticated us? It turns out that what was once a grain has evolved and grown along side us to be more useful to us, because it turns out that being useful to humans has become the greatest evolutionary advantage ever! To add insult to injury corn is in just about any food you could think of now. Don't believe me? check the ingredients on the back of your Cheetos. Its in just one form or another.  During this class we traced back our roots as far as we could go to see what the different foods could teach us about where and who we came from.  We put all this info together in a colorful family tree. We also put together a map with the center of origin for almost every food crop with trade routes and the ancient civilizations that ...

Menu Madness

 Over this whole year our GCE  STEAM class took 3 thematic courses - Water, Fuel, and food. All three classes connected to one another, here how. Water is a basic necessity required for many processes. It can be used both as a fuel - hydroelectric plants and in fuel since water or H2O is a result of the combustion equation.  These both connect to food because through the fact that water is an important component in cooking as well as growing the food, and fuel also necessary to cooking and denaturing the ingredients.       During this last course - food  we talked a lot about the Green Revolution, and Norman Borlov.  We learned about how he learned to cross breed to create stronger more resistant crops for use in countries like Mexico that were starving due to crop diseases like the rust fungi. We considered the upsides and downsides to this such as the way it made plant resistant to the rust fungi but required extensive amounts or water and ...