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Page 1: Problem 6

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.

Page 2: Problem 6

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.

Page 3: Problem 6

Rob Schupbach Problem #6

CRIN E07: Elementary Math Curriculum and Instruction

Dr. Margie Mason/Ms. Rachael Cofer

October 21, 2011

Student

Size

of

Slice

Kind of

Pie

Fraction

of Slice

Eaten

Number

sentence

showing

fraction of

pie eaten

Fraction

of 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