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Exploring Sets in Mathematics: Worksheets and Activities

In this session, we delve into the concept of sets through engaging warm-up exercises. Participants will work in pairs or small groups to complete a worksheet focused on the utility of sets and their distinguishing properties. Key problems include the equivalence of given sets, the characteristics that do not apply to sets compared to sequences, and practical applications using the SETL website. Through a series of thought-provoking questions, the session aims to deepen understanding of set operations and encourage collaborative learning.

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Exploring Sets in Mathematics: Worksheets and Activities

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  1. C241 PLTL Session – 10/7/2014 More on sets!

  2. Warm-Up Exercise • Grab a worksheet • Begin completing the worksheet in pairs or small groups

  3. Problem 1 What do you think sets are especially useful for?

  4. Problem 2 Which two properties, (that are crucial when dealing with sequences), do not matter for sets?

  5. Problem 3 Are the sets (3, 4, 6, 2, 1) and (6, 1, 3, 2, 4) equivalent?

  6. Problem 4 Visit the SETL website, http://setl.org/setl-server.html, and answer the following questions: (Give both the answer and the SETL code that generated you this answer.) Note that sets are denoted by braces {}, the intersection operator for sets is denoted by *, and the union operator for sets is denoted + in SETL. Using parentheses, (), to denote a set is a more conventional notation than using braces, {}. A = (11, 4, 13, 4, 25, 6, (), (1, 2)), B = (1, 4, 25, 6, (), 17, 8, 9), and C = (4, 7, 8, 9, 10, (11, 12, 13), 12) (i) What is the set difference between A and B? (ii) What is the set difference between C and D = (11, 12, 13)?

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