Ch 48: GACE Math: Set Theory

About This Chapter

When preparing for the GACE Mathematics assessment, complete the activities of this chapter to improve your understanding of set theory. Watch the lesson videos to reinforce what you've learned about mathematical sets, Venn diagrams and more.

GACE Math: Set Theory - Chapter Summary

The material in this chapter reviews information that you may see on the GACE Mathematics assessment regarding set theory. Once you have finished this chapter, you should be prepared for questions on:

  • Elements, intersections and unions of mathematical sets
  • Infinite, finite, equal and empty subsets
  • Construction of Venn diagrams
  • Components of categorical propositions
  • Uses of two-way tables

Take lesson quizzes to find any areas of weakness, then improve upon these areas by returning to the respective video segments using the video tags. If you need an alternative way of reviewing the chapter, try reading over the lesson transcripts that present the same material but in a written format.

5 Lessons in Chapter 48: GACE Math: Set Theory
Test your knowledge with a 30-question chapter practice test
Mathematical Sets: Elements, Intersections & Unions

1. Mathematical Sets: Elements, Intersections & Unions

Today we're going to explore mathematical sets, which are surprisingly simple! Sets are just collections of any objects or concepts, also known as elements, that can be related to each other through union or intersection.

Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty)

2. Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty)

In this video, we will add to our knowledge of sets. We will talk about cardinality, infinite, finite, equal and the empty set. I think you will find these very straightforward, so let's begin.

Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union

3. Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union

The Venn diagram was introduced by John Venn. Yes, the Venn diagram is named after a real person! His idea was to show sets in terms of pictures. The Venn diagram is now used in many fields, including mathematics. Let's take a look at John Venn's idea.

Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets

4. Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets

Watch this video lesson to learn how categorical propositions are written. You will also see what the subject and predicate are as well as learn about equivalent and infinite sets.

What is a Two-Way Table?

5. What is a Two-Way Table?

Do you believe in Martians? Do you watch football on television? A Two-Way Table or Contingency Table is a great way to show the results of all kinds of survey questions. In this video we will learn how to read a two-way table.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other chapters within the GACE Mathematics (522): Practice & Study Guide course

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