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Sophomore Math Exhibition

Sophomore Math Exhibition. Krysbel Sepulveda Ms.Silva & Mr.Werth #’s 428 & 429 3/4/10. Explanation of SME.

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Sophomore Math Exhibition

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  1. Sophomore Math Exhibition Krysbel Sepulveda Ms.Silva & Mr.Werth #’s 428 & 429 3/4/10

  2. Explanation of SME The problem that I will be explaining/solving in this project will be numbers 428 and 429. This problem involves a lot of geometry, and deals with areas. Problems like this one are the ones that help you learn and understand real mathematics and give you the ability to move forward. To become Proficient in the NECAPS is very important to me, not only because, ill be able to graduate but because of all the work I did to get to where I am today.

  3. Statement of the Problem • Cammie got a new puppy for her birthday. She and her father are going to build a dog house. • 428. What is the area of the roof of the doghouse? • 429. Plywood comes in sheets that are six feet by four feet. Not including the roof, how many sheets of plywood will they need to construct the house?

  4. Statement in my own words First, I have to find the area of the doghouse which for a rectangle is A=length(width) and for a triangle is A=base(height) _______ 2 Then, I have to find how many sheets of plywood will Cammie need to build the doghouse. Key: Plywood comes in sheets of six feet-by-four feet. 5 feet 5 feet 6 feet ___________ 4 feet 3 feet 6 feet

  5. “GSE” M(G&M)–10–6 :Solves problems involving perimeter, circumference, or area of two-dimensional figures (including composite figures) or surface area or volume of three-dimensional figures (including composite figures) within mathematics or across disciplines or contexts. (State)

  6. Depth of Knowledge (DOK) This is a level 3 problem because, it requires strategic thinking.“An activity that has more than one possible answer and requires students to justify the response they give.” This is much harder than a level 1 problem because, you just have to sole simple problems or apply a formula. However, a level 2 problem requires a little more skill and thinking.

  7. Explore Know I know that there are four parts of the roof of the dog house: there are 2 rectangle, 2 triangle. I know for the rectangular parts that the top is 5x3 and the triangular part is 6 feet wide and 6 feet tall. Also, that the bottom’s height is 4ft and its base is 6 ft front and back and 3 feet on the sides. Need The area of the top of the doghouse, I also need to find how many sheets of plywood the doghouse needs. 5 feet 5 feet 6 feet _________ 4 feet 3 feet 6 feet

  8. Plan Formulas Rectangle Area:A=length(width) Triangle Area: A=base(height) ________ 2 I will first find the area of the roof of the doghouse, then I will figure out how many plywood sheets is it going to need for the base part of the house.

  9. Solve Top Area: Bottom’s Area The Plywood A=base(height) A= length(width) 72/24= 3 sheets ________ 2 A=4(6) A=6(6) / 2 A= 24ft² A= 36 / 2 A=4(3) A= 12ft² A= 18ft² Total = 12+12+24+24 = 72ft² A= LxW = 5x3=15ft² Total = 18 + 18 + 15 +15 = 66ft² 5ft 5ft 6ft ________ 4ft 6ft 3ft

  10. Examine • #428 I know my answer is correct because by estimating 18*2=35-ish / and 15*2=30 And 30+35= About 70. So now I know my answer is close to 70 or less. • #429 I know my answer is correct because by estimating the area of one side of the rectangle is about 25ft. And the other part is about 50ft. So, by adding these two numbers I get about 70ft. And, divided by the length of plywood which is 24 , I know the answer is between 2-4 sheets of plywood.

  11. Summary Using the 4-step process really helped me understand better the problems and how to solve them. I first used the Explore and Plan process and there I was getting to know what I was looking for and how I was going to find it. On the last two process which were Solve and Examine I solved out the problem and explained it in another way to prove my answer was right.

  12. Explanation I will achieve a proficient 4 out of 4 if I study hard and put my head into what I am doing. I will be completing the QUEUE book by the time I take my NECAPS. By doing 3 problem of the QUEUE book and 2 of the NECAP book per day, I will be ready enough to achieve a “PROFICIENT” .

  13. My 6 Month Plan My plan is to finish the QUEUE book in time before the NECAPS and when I’m done I will review everything over in time to prepare myself for the NECAP. I will also be doing 3 problems per day of the QUEUE book, this will help me prepare myself for the NECAPS, which I need to pass to graduate. It is very important for me to become “PROFICIENT” in NECAPS because, if I don’t then I will not move on.

  14. Thank you I would like to thank my geometry teacher, Ms.Silva and my computer teacher, Mr.Werth. Also, I would like to thank myself because I finished my power point all on my own.

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