Ch 50: GACE Middle Grades Math: Sets

About This Chapter

Watch these video lessons to re-familiarize yourself with mathematical sets. Our lessons, along with quizzes and a chapter exam, help you get ready to take the GACE Middle Grades Mathematics assessment.

GACE Middle Grades Math: Sets - Chapter Summary

In this chapter, our instructors introduce types of sets and subsets as well as examine the key concepts of mathematical sets. Lesson topics include the following:

  • Defining the elements, intersections and unions of sets
  • Identifying types of subsets
  • Finding the Cartesian product
  • Using Venn diagrams
  • Defining categorical propositions
  • Changing categorical propositions to standard form

The instructors, experts in the math field, offer content-rich lessons and engaging visuals to make studying mathematical sets fun. Each lesson is less than 10 minutes long and can be watched anytime on your computer, smart phone or tablet. Many videos include links to text lessons providing additional detail about key terms. Be sure to take the multiple choice quizzes to test yourself on how well you grasped lesson materials.

6 Lessons in Chapter 50: GACE Middle Grades 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 GACE Middle Grades Mathematics (013): Practice & Study Guide course

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