Ch 55: MEGA Middle School Math: Sets

About This Chapter

Let us help you review facts about mathematical sets. The video lessons and self-assessment quizzes will help you prepare to answer questions about this subject found on the Missouri Educator Gateway Assessments (MEGA) Middle School mathematics exam.

MEGA Middle School Math: Sets - Chapter Summary

The lessons in this chapter are designed to help you develop a deeper understanding of different types of sets and subsets. Text is supported by illustrations of relevant mathematical symbols and operational functions. Topics covered in this chapter's lessons include:

  • Identifying types of mathematical sets
  • Defining terms used to describe types of subsets
  • Describing the process used to find the Cartesian product
  • Discussing the aspects and use of the Venn diagram
  • Detailing the terms of categorical propositions and changing them into standard form

Each lesson is explained in clear and simple language, with lesson reviews indicating major points discussed in the video. Quizzes help you gauge what you have retained from each lesson to optimize the learning experience.

MEGA Middle School Math: Sets Chapter Objectives

Review of the material in the Sets chapter can help you answer any relevant probability questions found on the MEGA Middle Grades math exam. Successfully completing this exam allows you to demonstrate your mastery of this topic and your readiness in teaching the concepts discussed in the lessons to middle-grade students in the state of Missouri. The math exam is computer-based and contains 80 multiple-choice questions.

MEGA exams are used to certify teachers in specific content areas. Current and aspiring teachers can also take general assessment and special education exams.

6 Lessons in Chapter 55: MEGA Middle School Math: Sets
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.

How to Find the Cartesian Product

3. How to Find the Cartesian Product

The Cartesian product allows us to take two sets of mathematical objects and create one new one. With one simple idea, the Cartesian product becomes quick and easy.

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

4. 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

5. 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.

How to Change Categorical Propositions to Standard Form

6. How to Change Categorical Propositions to Standard Form

Watch this video lesson to learn what categorical propositions are and how you can turn your statements into one of the four standard forms. Also, learn the names of these four standard forms and what they look like.

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 MEGA Middle School Mathematics: Practice & Study Guide course

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