Kelly owns her own bakery she is currently selling more scones and banana bread than any of his other pastries. He needs to figure out how much he needs to sell in order to get maximum profit.
Kelly should only sell scones and make 220 batches to earn a profit of $3,161.40 (Whole process on Doc thats linked on top)
Reflection:
I am proud I was able to do this project even with being gone for almost all of the working time. I had to have a lot of help from others and get a good outline from them versus if I would have had all the time I would have been able to come up with an idea all alone. So in the future I would make it more personal and make sure I had more time to do it. But overall I finished the work and it looks pristine and nice and I am proud of myself!
Tessellation Project:
Cover Letter: One topic we studied was how to find the area of any n-sided polygon. We mostly did lots of notes on this topic and a couple of activities like calculating. In the beginning we had to brainstorm ways we thought we could solve this. We used desmos and messed around with different shapes in the polygon to see if it would help us find the area. We ended up using triangles inside the polygon to find the area. We realized this would work as triangles can be very helpful when splitting up all sorts of shapes to find the area as well. To find the area of the triangles we were putting in the polygons we used (B*H/2). After finding the area of the triangle we would multiply the number of sides of the polygon by the area of the triangles A*NS= Area of polygon. And then we would have our answer to the area of the polygon!
Cover Letter: In this unit we studied many many topics but another topic I want to talk about was area and volume. We did an activity on this topic where we were given one piece of construction paper and had to see how we could construct it to hold the most volume. From this activity I learned how to construct shapes to hold more volume. I also learned that area is a two dimensional object and volume is a 3 dimensional object. I also learned that the most efficient shape is a circle because the radius has an equal distance from the center so it doesn't overlap unlike squares and triangles. To the left I drew a picture of a 4 circles with different shapes in them. I colored in the wasted space but as you can see in the circle we have the most unwasted space. This is because The radius is able to go fully around the shape without hitting any sides unlike the rest. So with this information we know circles are one of the most efficient shapes because they waste the least amount of surface area holding the most amount of volume.
Reflection: How do you think you have grown in your understanding of geometry? In the very beginning of this unit I had never even seen the things we were learning. It was a brand new thing to me and I significantly struggled in class trying to understand what we were learning, how it worked and how I could use it. I don't learn the best from taking notes. I either have to take many hours to research and try my best to figure it out on my own. Or I need one on one time where we repeat going over and over the steps until I can rember the process. This project really gave me the time to start to research and better understand the questions we were trying to answer. Like why are shapes efficient, more information on area and volume, patterns in geometry and more. For example this project allowed me to have time with Ande to help me answer the question why shapes are efficient. From this conversion I learned shapes are efficient when they hold the most volume with the least amount of surface area. I also learned that a circle is the most efficient shape(not when tesselating) because unlike a square or triangle the radius doesn't overlap. Creating the tessellation wasn't even what helped me learn the most but preparing for exhibition and answering the questions was a large help to me. Overall I liked this project and would do it again. In the future I would not make the mistake of not using all my time wisely and not being more thorough in my work. But I am proud I still completed the project even with the many mistakes I made along the way.