Mrs. Hopkins made four pies that were cut into different numbers of slices. Alyssa, Dalton, Rowan, and Shane each bought one slice but only ate part of it. The document describes clues about which pie each person chose and what fraction of the slice they ate. It provides an example solution showing how to use the clues to determine the kind of pie each person chose and the fraction of the total pie they ate by setting up number sentences.

1. Rob Schupbach Problem #6
CRIN E07: Elementary Math Curriculum and Instruction
Dr. Margie Mason/Ms. Rachael Cofer
October 21, 2011
Topic: Computation and Estimation: Applications of Operations with Rational
Numbers—Grade 6 (SOL 6.6)
Expected Heuristics: Use a picture; make a table/chart; Guess & Check; Solve a
simpler problem
A Piece of the Pie!
Mrs. Hopkins made four different pies for the fair. Each pie was the same size. At
the fair, she cut the blueberry pie into 6 equal slices, the apple pie into 5 equal
slices, 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 a
portion 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. 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. Rob Schupbach Problem #6
CRIN E07: Elementary Math Curriculum and Instruction
Dr. Margie Mason/Ms. Rachael Cofer
October 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