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PUP Math Pizza, Clip 1 of 2: Pizza halves with two toppings [video]. Retrieved from https://doi.org/doi:10.7282/T3HM57PQ
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TitlePUP Math Pizza, Clip 1 of 2: Pizza halves with two toppings
PublisherCambridge, MA: Annenberg Learner, 1993-03-01, c1993-03-01
Persistent URLhttps://doi.org/doi:10.7282/T3HM57PQ
DescriptionIn this edited video, the first of a set of two clips developed for the Private Universe Project in Mathematics, 12 fifth grade students during two consecutive classroom sessions work in two groups, one with five students and the other with seven, to construct convincing solutions for the Pizza Halves with Two Toppings problem. 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.
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 or two 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 two different toppings (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.
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 or two 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 two different toppings (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
Math ProblemHalf 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 HeuristicsGuessing and checking, Direct reasoning, Controlling for variables, Reasoning by cases
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)
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 Captured1993-03-01
Local IdentifierPM3_Pizza2Toppings
Related Publication
Type: Related publication
Label: Workshops (web-based) utilize the video PUP Math Pizza, Clip 1 of 2: Pizza halves with two toppings
Publisher: Annenberg Learner
Creator: Harvard-Smithsonian Center for Astrophysics
Name: Private Universe Project in Mathematics Workshops
Reference: https://lweb.cfa.harvard.edu/smgdvl/pmt/index.html
Type: Related publication
Label: Workshops (web-based) utilize the video PUP Math Pizza, Clip 1 of 2: Pizza halves with two toppings
Publisher: Annenberg Learner
Creator: Harvard-Smithsonian Center for Astrophysics
Name: Private Universe Project in Mathematics Workshops
Reference: https://lweb.cfa.harvard.edu/smgdvl/pmt/index.html