Intersection and Union of Two Sets

Achievement Indicators:

2.2 Organize information such as collected data and number properties, using graphic organizers, and explain the reasoning.
2.3 Explain what a specified region in a Venn diagram represents, using connecting words (and, or, not) or set notation.
2.4 Determine the elements in the complement, the intersection or the union of two sets.
2.5 Explain how set theory is used in applications such as Internet searches, database queries, data analysis, games and puzzles.
2.6 Identify and correct errors in a solution to a problem that involves sets.
2.7 Solve a contextual problem that involves sets, and record the solution, using set notation.

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Discovery Based Learning:

1.  Click here for an interactive that shows a basic example of two sets that must intersect -- Basketball and Volleyball. (Tools4Teachers) You will need to have an account with Tools4teachers to access this interactive.

2.  Click here for a Venn Diagram Applet (Java Web Technology) 

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Lesson Links:

• Click here for ERLC Lesson Link. (Notebook) Please use this lesson as a framework for your own teaching environment.

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Assessment For Learning

1. Set Theory Worksheet -- Chang (Word document).  This worksheet is a great way for students to be creative and get a true understanding of sets and set notation. [V], [CN]  (Standard of Excellence)

2.  Virtual 3-set Venn Diagram Manipulative (Standard of Excellence) -- This is a nice tool to practice set notation and shading corresponding areas of the venn diagram.

      

3.  Exit Slip Questions

• • Have students draw Venn diagrams for P ∩ Q, P ∩ Q’, P’ U Q, P’ U Q’.  [V] (Acceptable Standard)

• • Venn diagrams are useful when three subsets are given. Construct such a diagram, given the subsets P, Q, and R.  Identify each of the eight resulting areas in terms of P, Q, and R.  Use the appropriate set theory symbols. [V, R] (Standard of Excellence)

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Extending Your Thinking

1.  The Egg Man -- Click here to link you to an activity that challenges students in the union and intersection of sets.  It is fun and creative.

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Videos:

General video for this lesson (Youtube)

Sets: Union and Intersection