Math Overview Pythagorean Theorem helped us to do our project design measure your world. The Pythagorean Theorem can help us find side lengths of an angle or the fundamentals relation in geometry. I needed to use it when calculating how to find the length of a tree or side of s building. The distance between point is an exercise we did in class to help us find a point on a circle using radius. We used x and y on a coordinate plane using theta cosine and sine. After we found the point we could find the angle of one point to the other. Sine, Cosine, and Tangent helps us find the the adjacent and opposite sides. This can help us in a scenario when you have to find the length of a building shadows or a height of something. In the mount Everest problem in class we worked on the trigonometry laws of sine. In this problem we learned generalizing the process of finding the missing side of an angle. The triangle was labeled A,B,C on the sides and a,b,c in the corner angles. You will use sine when calculating how to measure a triangle. Tangent is when you take the tangent of a triangle and you have to take the opposite side of the triangle divided by the adjacent side and you will get your answer. You can use tangent to measure a length in a triangle. Finding the area of shapes helped us do the Geoboards, pegs and area project. This can help us when we are building something or finding an specific area and it has to be a certain length and width. For example, building a house or a pool or a tiling a patio. Finding the volume in shapes helped us figure out our project. Finding the volume for example the volume of a prism is V=l w h or V= Abase • h. This can help us with figuring out the volume or contents of things like the volume of a cake or the volume of a binder, etc. Design your own project: Description For our project we started by thinking of some ideas to do for our project then we asked Dr.drew for some ideas and he said that we should see how many gallons of milk can fit in a hollow leg and we chose to do that. What we did was we took measurements of six separate legs length, calf width, thigh width and foot length and then we found the average of them all then we got the idealized leg of a tenth grader. But we decided to only use our legs instead of having to figure out the other 4 people’s legs was a lot of work and we didn't have time for. Math We got the measurements and first we split it into two cylinders and then found the volume of both of them and then we divided it with the cubic inches of milk which is 231 and we just calculated each parts of the leg times by pi or 3.14 then just multiplied the rest and got how many gallons of milk can fit in our legs. Reflection In this project we had some trouble figuring out all of the formulas and trying to find the volume of the leg. What we did was we started small and we first started by splitting the leg into two cylinders and then added them together then divided it and we eventually got the answer with the help of Lydia's dad and Dr.Drew. But this project was really fun and we should do this project again. Also it was fun and amazing to figure out how many gallons of milk can fit in our legs. |
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