Mathematics Governor’s Institute 2003 Problem-in-a-bag (Download as Microsoft Word documents: Pizza Party Project, Combination Table) Title of Project: Pizza Party Project
Team Members:		John Boback Antoinette Griffin Joan Horwatt David Rickle
Grade Level and/or Course: 6-8 (Combinations) Concept Used:
Addition			Subtraction			Division	Multiplication			Area
Combinations			Rounding			Unit Price	Organized Lists			Estimation
Comparison of Decimals and Integers
PA Standards Addressed: 2.2.8B Computation and Estimation 2.4.8B,F Mathematical Reasoning and Connections 2.5.8 A,B,C,D Mathematical Problem-Solving and Communications 2.7.8 A Probability and Predictions
NCTM Standards Addressed:
Numbers and Operations				Algebra					Representation
Geometry				Problem-Solving					Measurement
Connections				Data Analysis and Probability					Communication
Introduction/Applications A teacher is planning a pizza party for his class of 27 students. The Parent-Teacher Organization gave him a donation of $75.00 to reward his class. Giovanni’s Pizza offers three sizes of pizza. They are:
Pizza A					16” x 12”			$9.99
Pizza B					16” Diameter			$7.99
Pizza C					14“ Diameter			2 for $11.99
v	List the different combinations of pizza that could be purchased with as much of the $75.00 as possible.
v	Which combination offers the best value? Show you work and explain your Procedures. (Decimals can be rounded to the nearest ten-thousandths.)

Model:

Area Formulas:

Total Area (TA) = a(Aa) + b(Ab) + c(Ac) where a= Pizza A, b=Pizza B, c=Pizza C and A = Area

Unit Price = Total Cost/TA

Resources and Materials:
Pizza Boxes Scissors Rulers			Construction paper Poster board Pencils	Compass Calculators
	Procedures and Activities:
	1.	Using poster board and materials, construct and label models of each size pizza.
	2.	Students will construct a Combination Table.
	3.	Students may use estimation, area, or unit pricing to answer the best buy.
	4.	Students will prepare a presentation of their results to report to the class.

PIZZA PARTY PROJECT

JULY 11, 2003

RUBRIC

	4	3	2	1	0
Understandable Clean/Neat
Models of Pizzas
Shows Organized List (answer a)
Explain or Justify (answer b)
Answer/Conclusion

Accommodations/Adaptations:

ESL:

Pair the student with a higher achieving student or students who speak their native language.

Translate the directions to their native language.

Special Ed.:

Provide template for organized list.

Provide formulas for area and unit pricing.

Have children work together in a group with “Guided” teacher support

Enrichment:

Compute sales tax for each combination to determine how it differs.

Do the opposite solution than the one originally chosen. E.g.

Unit Pricing instead of total area and the opposite.

Problem-in-a-bag