DescriptionIn this fifth of six clips, four 11th grade students reconsider Pascal's Triangle as it relates to the Pizza Problem and connect this problem with the Towers Problem. As the students summarize their ideas and solutions to the researcher, they discuss how the problem apperas similar to building Unifix towers when selecting from different colored cubes. During their summary, Robert proposes a slightly different representation of Pascal's Triangle from the one developed by Stephanie and Shelly, nd the group agrees that his suggestion is a better fit for the general form of the pizza problem. Finally, they restate their earlier conclusion that the total number of pizza choices for a particular number of tippings is 2 to the power of that number of toppings.
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 a 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, as available. How many different choices for pizza does a customer now have? Why?
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-CLIP005
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