DescriptionIn the fourth of six clips, the four students develop the structural isomorphism between adding an additional pizza topping choice and the addition rule for successive rows of Pascal’s Triangle and notice that the growth is exponential for the problem: "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?" In this clip Stephanie, with support from Shelly, explains to the researcher how the addition rule of Pascal’s Triangle can be explained in terms of pizza options when a fourth topping option is added to the possible choices available with three toppings. Robert notices and describes how this growth is exponential and is similar to the Towers Problems.
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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