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Math | Graded Assignment | Extended Problems: Real-World Application
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Graded Assignment
Extended Problems: Real-World Application
Answer the questions. When you have finished, submit this assignment to your Learning Coach.
Mr. Grayson owns a wood company that sells trees, wood materials, and specialty items created from wood.
(4 points)
1. One of Mr. Grayson’s customers, Zenani, is creating an art wall in which she will display some
art in triangular frames. She wants three frames, each in the shape of a right triangle.
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(a) For the first frame, Zenani already has two wooden pieces that are 13 in. and 16 in.
long. Zenani says that since she wants the frame to be a right triangle, there’s only
one possible measurement for the last piece of wood. Is Zenani right? If so, what is that last
measurement? If not, explain why not and give all possible measurements for the last wood piece.
Round to the nearest tenth.
(b) For the second frame, Zenani asks Mr. Grayson to double the measurements of the first triangular
frame to make a new frame in the shape of a right triangle. Will Zenani’s strategy work for the second
frame? Explain why or why not.
(c) For the third frame, Zenani asks Mr. Grayson to add the same measurement to each of the sides of
the original triangle frame to make a new frame in the shape of a right triangle. Will Zenani’s strategy
work for the third frame? Explain why or why not.
Answer:
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Page 1 of 4
Math | Graded Assignment | Extended Problems: Real-World Application
(4 points)
2. Mr. Grayson gets a request from a customer to buy a palm tree of a specific height. Mr.
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Grayson’s tree nursery is very large and is organized by a coordinate plane map system. He
finds a palm tree that he thinks might meet the customer’s specifications. The tree is located
at coordinates (35, 28). He calls his assistant to come over to help him determine the height
of the tree. He asks his assistant where she’s located. His assistant says she is located at (70, 15). Each unit
on the coordinate grid represents 1 ft. How far is Mr. Grayson’s assistant from the tree? Round to the nearest
tenth. Show your work.
Answer:
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Copying or distributing without K12’s written consent is prohibited.
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Math | Graded Assignment | Extended Problems: Real-World Application
(6 points)
3
3. Mr. Grayson orders a box that has a volume of 343 in . The box is in the shape of a cube.
What is the longest stick that can fit in the box? Round your answers to the nearest whole
number.
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Answer:
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Copying or distributing without K12’s written consent is prohibited.
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Math | Graded Assignment | Extended Problems: Real-World Application
(6 points)
4. Mr. Grayson has a circular table made out of wood. The top of this table has an area of
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2
2
36 ft . Mr. Grayson asks his assistant to put a square glass piece with an area of 36 ft on
top of the table. He notices that when the glass is put over the circular table base, the
glass sticks out a bit from the base of the table. He says, “The glass is sticking out too far
past the edge of the wood.” His assistant says, “The wood actually sticks out from the edge of the glass
more than the glass sticks out from the edge of the wood.” Is the assistant correct? What is the distance
that each is sticking out from the other? Show your work. Use 3.14 for pi and round to the nearest tenth.
Answer:
Your Score
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Copying or distributing without K12’s written consent is prohibited.
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