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PUP Math pizza, Clip 2 of 2: Whole and Half Pizzas with Four Toppings
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PUP Math pizza, Clip 2 of 2: Whole and Half Pizzas with Four Toppings [video]. Retrieved from https://doi.org/doi:10.7282/T3NC60FW

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TitlePUP Math pizza, Clip 2 of 2: Whole and Half Pizzas with Four Toppings
PublisherCambridge, MA: Annenberg Learner, 1993-04-02, c1993-04-02
Persistent URLhttps://doi.org/doi:10.7282/T3NC60FW
DescriptionThis second clip in a set of two edited videos developed for the Private Universe Project in Mathematics, focuses on 12 fifth grade students during an extended session work individually and with their classmates to construct and justify solutions to two problems involving pizza choices. For the first problem, the students were asked to find all possible choices for "whole" pizzas when four toppings were available. The second problem extended the first by offering the additional option of pizza halves with different choices, still with four toppings available. The students construct various representations, including drawings and symbolic charts to find and justify their conclusions about the number of possible pizza choices. There are voice-over explanations that refer to the children's representations and strategies interspersed throughout the edited video episode, and interpretive narrative by researcher Carolyn Maher and several of the students who reflect about their earlier problem-solving activity several years later as high school students.
First problem statement: Capri Pizza has asked you to help design a form to keep track of certain pizza choices. They offer a standard “plain” pizza with cheese and tomato sauce. A customer can then select from the following toppings: peppers, sausage, mushrooms and pepperoni. How many choices does a customer have? List all possible choices. Find a way to convince each other that you have accounted for all possibilities.
Second problem statement: Capri Pizza has asked us to help design a form to keep track of certain pizza sales. Their standard “plain” pizza contains cheese. On this cheese pizza one, two, three, or four toppings can be added to either half of the plain pie or whole pie. How many choices do customers have if they can choose from four different toppings (peppers, mushrooms, sausage and pepperoni) that can be placed on either a whole cheese pizza or half of a cheese pizza? List all possibilities. Show your plan for determining these choices. Convince us that you have accounted for all possibilities and that there could be no more.
Math ToolColor markers
Math StrandCounting, Combinatorics, Multiplication
Math ProblemHalf Pizza, Pizza
NCTM Grade Range3-5
NCTM Content StandardNumber and operations
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsDirect reasoning, Reasoning by cases, Guessing and checking, Controlling for variables
Grade Level5
Student ParticipantsAmy-Lynn (student), Ankur (student), Brian (Kenilworth, student), Jeff (student), Matt (student), Michael A. (Kenilworth, student), Michelle I. (student), Michelle R. (student), Milin (student), Robert (student), Romina (student), Stephanie (student)
MediatorsMaher, Carolyn Alexander (Researcher), Alston, Alice (Researcher)
CorporateHarding Elementary School (Kenilworth, N.J.)
SettingClassroom
Student GenderMixed
Student EthnicityMixed
Camera ViewsWork view, Student view
RightsThe video is protected by copyright. It is available for reviewing and use within the Video Mosaic Collaborative (VMC) portal. Please contact the Robert B. Davis Institute for Learning (RBDIL) for further information about the use of this video.
Date Captured1993-04-02
Local IdentifierPM3_Pizza4Toppings
Related Publication
   Type: Related publication
   Label: Workshops (web-based) utilize the video PUP Math pizza, Clip 2 of 2: Whole and Half Pizzas with Four Toppings
   Publisher: Annenberg Learner
   Creator: Harvard-Smithsonian Center for Astrophysics
   Name: Private Universe Project in Mathematics Workshops
   Reference: http://www.learner.org/workshops/pupmath/about/overview.html
Source
   Title: Private Universe Project in Mathematics Workshops. Cambridge, MA: Annenberg Learner.
   Identifier: http://www.learner.org/workshops/pupmath/index.html
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