Ch 49: ORELA Math: Set Theory

About This Chapter

The state of Oregon now administers the National Evaluation Series (NES) test for teacher certification rather than the ORELA Math test. Use this chapter's online video lessons to brush up on set theory, then apply what you've learned on the test.

ORELA Math: Set Theory - Chapter Summary

When you're ready to undertake the study of various kinds of mathematical sets and subsets, review the absorbing video lessons in this chapter. You'll be presented with information on set operations, complements and tables as well as equivalent sets. This material may already be familiar to you, but you can watch the lessons so that your understanding of the topics is clearer when you take the ORELA Math examination. The videos could assist you with:

  • Describing the relationships between elements, intersections and unions
  • Understanding cardinality as well as empty, finite and infinite sets
  • Creating Venn diagrams
  • Identifying the parts of categorical propositions
  • Reading two-way tables

The concepts in the video lessons are explained in detail. You'll learn from experienced educators who can answer your questions on set theory. As you watch the videos, you may keep pace by reading the text transcripts that accompany the lessons. When you've finished the lessons, take the short quizzes that follow as you get ready for the ORELA Math examination.

5 Lessons in Chapter 49: ORELA 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

Other chapters within the ORELA Mathematics: Practice & Study Guide course