DescriptionIn the second of 6 clips, the four 11th grade students generate an exhaustive list of pizza options choosing from 4 toppings. They recognize that the 16 choices correspond to the fourth row of Pascal’s Triangle and predict 32 choices when choosing from 5 toppings in 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?" During this clip, each student constructs modified tree diagrams to represent systematic lists of pizza choices. They notice patterns and categorize their list into cases. They write what they remember to be the first several rows of Pascal's Triangle in order to see whether the numbers in each row match the corresponding number of toppings for pizza choices with fewer than four toppings.
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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