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# Problem 6

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### Problem 6

1. 1. Rob Schupbach Problem #6CRIN E07: Elementary Math Curriculum and InstructionDr. Margie Mason/Ms. Rachael CoferOctober 21, 2011Topic: Computation and Estimation: Applications of Operations with RationalNumbers—Grade 6 (SOL 6.6)Expected Heuristics: Use a picture; make a table/chart; Guess & Check; Solve asimpler problemA Piece of the Pie!Mrs. Hopkins made four different pies for the fair. Each pie was the same size. Atthe fair, she cut the blueberry pie into 6 equal slices, the apple pie into 5 equalslices, the peach pie into 3 equal slices, and the chocolate pie into 4 equal slices.Alyssa, Dalton, Rowan, and Shane each bought one slice of pie but ate only aportion of that slice. Each chose a different kind of pie.  Alyssa bought the largest slice available and ate of it.  Dalton bought the smallest slice available and ate of it.  The slice Rowan bought was bigger than the slice Shane bought. Rowan ate of his slice.  Shane ate of his slice. What kind of pie did each person choose? What fraction of the total pie did each person eat? Simplify the fractions in the answer.
2. 2. Rob Schupbach Problem #6 CRIN E07: Elementary Math Curriculum and Instruction Dr. Margie Mason/Ms. Rachael Cofer October 21, 2011 Answer: Alyssa bought a slice of peach pie and ate of the pie. Dalton bought a slice of blueberry pie and ate of the pie. Rowan bought a slice of chocolate pie and ate of the pie. Shane bought a slice of apple pie and ate of the pie.Complete Solutions: Step 1 Use the clues to find the kind of pie that each person chose. Make a chart to keep track of the information. Step 2 Use the clues to write a number sentence showing the fraction of the pie that each person ate. Step 3 Solve.
3. 3. Rob Schupbach Problem #6CRIN E07: Elementary Math Curriculum and InstructionDr. Margie Mason/Ms. Rachael CoferOctober 21, 2011 Number Size Fraction sentence Fraction Kind of Student of of Slice showing of Pie Pie Slice Eaten fraction of Eaten pie eaten Alyssa Peach x = Dalton Blueberry x = = Rowan Chocolate x = Shane Apple x =Houghton Mifflin Math. (2011). Retrieved October 21, 2011, from http://www.eduplace.com/kids/mw/g_5.html