Standard 7: Set TheoryArchived

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Operate with sets, and use set theory to solve problems.
General Information
Number: MA.912.D.7
Title: Set Theory
Type: Standard
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 912
Body of Knowledge: Discrete Mathematics

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Independent

MA.912.D.7.In.a
Identify and sort elements in two sets, combine the sets to identify elements in either set to form a union, and identify the elements that are in both sets (intersection) using physical and visual models.
MA.912.D.7.In.b
Use Venn diagrams to represent the elements in both sets (intersection) of two sets.

Supported

MA.912.D.7.Su.a
Sort elements into two sets and combine elements in either set to form a union using physical and visual models.
MA.912.D.7.Su.b
Use physical models to identify elements from both sets that belong together (intersection).

Participatory

MA.912.D.7.Pa.a
Sort the common element in two sets of objects.

Related Resources

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Teaching Idea

Sets and The Venn Diagram (Beginner):

This lesson is designed to introduce students to sets, what it means to be part of a set, and how Venn diagrams relate to sets. This lesson provides links to discussions and activities related to sets and Venn diagrams as well as suggested ways to integrate them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one.

Type: Teaching Idea

Video/Audio/Animation

MIT BLOSSOMS - Taking Walks, Delivering Mail: An Introduction to Graph Theory:

This learning video presents an introduction to graph theory through two fun, puzzle-like problems:"The Seven Bridges of Königsberg" and "The Chinese Postman Problem". Any high school student in a college-preparatory math class should be able to participate in this lesson. Materials needed include: pen and paper for the students; if possible, printed-out copies of the graphs and image that are used in the module; and a blackboard or equivalent. During this video lesson, students will learn graph theory by finding a route through a city/town/village without crossing the same path twice. They will also learn to determine the length of the shortest route that covers all the roads in a city/town/village. To achieve these two learning objectives, they will use nodes and arcs to create a graph and represent a real problem. This video lesson cannot be completed in one usual class period of approximately 55 minutes. It is suggested that the lesson be presented over two class sessions.

Type: Video/Audio/Animation

Student Resources

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