Problem Statement: There is a barn that is 10ft. by 10 ft. A cow is tied with a rope that has a length of 100ft. This rope is tied to one of the four different corners of the barn. The question we are trying to solve and find the answer to is, How long can the cow graze.? My very first attempt or the first thing i did was just drew a square 10 by 10 representing the barn and then within that i did as a circle kinda showing that that would the 100 ft that the cow could move.
Process: As we discussed with ou group and with the teacher as a whole we were able to understand the basics of the problem and what we were trying to figure out. And so than we decided on a diagram . This diagram was basically a circle with a square in the middle and a rope representing the length where the cow can graze.
With the final correct and completed diagram we had to find different and less difficult ways of how to find the area of the 100 ft diameter to than be able to calculate the graze area. So we found out that it was easier by cutting the circle into pieces so Mr. C gave us a very helpful sheet of paper where we had four small diagram circles to kind play with and find out which was the best one and than we found the best one as a team.
The dimensions we used were after we divided the circle into understable pieces than for instance we had a triangle and square so we would do the b times h divided by two and also used the pir2. Lots of very helpful dimensions to use but in order to use them correctly we had to be able to understand them.
Solution: Our solution was to brake the whole circle into 3 different things, The 2 pizza triangles and ¾ of the circle and the triangle touching the barn and the length of the rope.
We found the two pizza triangles were 89.7 so we used the formula a2 + b2 = c2 in this case 10+10=cso we added 100 and 100 because 10 squared plus 10 squared is 200 so we found the square rout and it was 634.1
We got a lot of practice for this unit by doing worksheets or practice packets they all involved this tactics. The b times h divided by 2, also a squared times b squared equals c squared.These were all very helpfull for me because ones we understood them we were able to work with one of them to try and finding the solution.
Self Reflection: This pushed my thinking by just realizing all the different formulas you can use to solve the exact same problem, i thought that was very interesting.I felt like the thing i got the most out of was working and getting to know other people that i don't usually talk or relate with, it was a nice experience learning all of us and our different ways of thinking.I felt like the group quiz help me positively because i was kinda able to refresh my memory and actually the only problem i got correct on the individual test was one that was kinda the same and we did as a group instance before.I was to grade myself in this unit i would give myself an 9 or lowest an 8 because u really tried my best trying to learned all this tactics and also i really tried helping my group, contributing with what i could.