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Pizza problems with four and five toppings, Clip 1 of 6: Approaching the problem [video]. Retrieved from https://doi.org/doi:10.7282/T3GM874C

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TitlePizza problems with four and five toppings, Clip 1 of 6: Approaching the problem
PublisherNew Brunswick, NJ: Robert B. Davis Institute for learning, , c1999-03-01
Persistent URLhttps://doi.org/doi:10.7282/T3GM874C
DescriptionThis clip is the first of six featuring four grade 11 students, Robert, Stephanie, Shelly, and Amy Lynn, as they construct and justify solutions to the Pizza Problem. This clip focuses on Stephanie and Shelly as they consider alternate approaches to solve the problem. Stephanie suggests that previous problems, including Shirts and Pants and Towers, and strategies such as tree diagrams might be helpful. Shelly uses her calculator and knowledge of combinations and factorial procedures to conjecture about possible solutions. Each of the four students begins to list possible pizza options using partial tree diagrams to keep track of what they are doing.

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 ToolCalculator
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, Reasoning by cases, Guessing and checking, Referencing a previous problem, Recognizing a pattern
Grade Level11
Student ParticipantsRobert (student), Stephanie (student), Amy-Lynn (student), Michelle I. (student)
CorporateDavid Brearley High School (Kenilworth, N.J.)
SettingInformal learning
Student GenderMixed
Student EthnicityWhite
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 Captured1999-03-01
Local IdentifierA21A22-CMB-PIZZA-CLIP001
Source
   Title: A21, Pizza problems with four and five toppings (student view), grade 11, March 1, 1999, raw footage
   Identifier: A21-19990301-KNWH-SV-CLASS-GR11-CMB-PIZZA-RAW
Source
   Title: A22, Pizza problems with four and five toppings (work view), grade 11, March 1, 1999, raw footage
   Identifier: A22-19990301-KNWH-WV-CLASS-GR11-CMB-PIZZA-RAW