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Ch 49: NES Math: Set Theory

About This Chapter

This chapter's lessons offer a refresher session in set theory, including a look at Venn diagrams and two-way tables. Our videos can help you prepare for these types of questions on the NES Math exam.

NES Math: Set Theory - Chapter Summary

Let us help you review information about mathematical sets and subsets as you study for the NES Math exam. This chapter of our study guide offers lessons on topics such as:

  • Elements, unions and intersections
  • Types of subsets
  • Venn diagrams
  • Categorical propositions
  • Definition of a two-way table

You can explore these lessons whenever you have spare time. A computer, phone or tablet can be used for convenient access. All lessons are accompanied by a transcript with important concepts and terms highlighted. There's even a sheet of quiz questions that you can print and use for offline study.

NES Math: Set Theory Chapter Objectives

In several states, passing the NES Math exam is one of the conditions for certification to teach math at the secondary level. The exam's questions are categorized into content domains, and questions on the topics in this chapter are in the exam's Statistics, Probabilities and Discrete Mathematics content domain area. This part of the test accounts for 19% of the total score.

All questions on the NES Math exam are multiple-choice, like the questions on our lesson quizzes and chapter exams. In addition to providing practice in answering questions like you'll find on the exam, our tests indicate topics where extra study might be required.

5 Lessons in Chapter 49: NES 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.
Not Taken

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Other Chapters

Other chapters within the NES Mathematics (304): Practice & Study Guide course

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