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B81, Counting tasks: Pizza problems with four and five toppings with isomorphism solution (people view), Grade 11, March 1, 1999, raw footage [video]. Retrieved from https://doi.org/doi:10.7282/t3-3376-gg18

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TitleB81, Counting tasks: Pizza problems with four and five toppings with isomorphism solution (people view), Grade 11, March 1, 1999, raw footage
PublisherNew Brunswick, NJ: Robert B. Davis Institute for Learning, 1999-03-01, c1999-03-01
Persistent URLhttps://doi.org/doi:10.7282/t3-3376-gg18
DescriptionThis raw footage features four eleventh-grade students - Amy Lynn, Robert, Shelly, and Stephanie - engaged in a challenging problem-solving experience with a combinatorics task referred to as the Pizza Problem. To understand and solve the Pizza Problem, the group developed a mediated isomorphism with Pascal's Triangle serving as the mediator between the Pizza Problem and the previously-solved Towers Problem.

PROBLEM STATEMENT "A local pizza shop has asked us to help design a form to keep track of certain pizza choices. They offer a plain pizza that is cheese and tomato sauce. A customer can then select from the following toppings: pepper, sausage, mushrooms, and pepperoni. How many different choices for pizza does a customer have? List all the choices. Find a way to convince each other that you have accounted for all possible choices. Suppose a fifth topping, anchovies, were available. How many different choices for pizza does a customer now have? Why?"
Math StrandCounting, Combinatorics
Math ProblemPizza
NCTM Grade Range9-12
NCTM Content StandardNumber and operations
NCTM Process StandardProblem solving, Reasoning and proof, Communication, Connections, Representation
Forms of Reasoning, Strategies and HeuristicsDirect reasoning, Recognizing an isomorphism, Controlling for variables, Recognizing a pattern, Referencing a previous problem, Reflecting on past experience, Generalizing, Reasoning by cases, Considering a simpler problem, Counting
Grade Level11
Student ParticipantsStephanie (student), Amy-Lynn (student), Robert (student), Michelle I. (student)
MediatorsMaher, Carolyn Alexander (Researcher)
CorporateDavid Brearley High School (Kenilworth, N.J.)
SettingInformal learning
Student GenderMixed
Student EthnicityWhite
Camera ViewsStudent 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 Captured1999-03-01
Local IdentifierB81-19990301-KNWH-SV-CLASS-GR11-CMB-PIZZA-RAW