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Ch 55: NES Middle Grades Math: Sets

About This Chapter

Work on your discrete mathematics skills with these lessons on sets as you prepare for the NES Middle Grades Mathematics test. Be sure to complete the quizzes and chapter test to measure your preparedness.

NES Middle Grades Math: Sets - Chapter Summary

Get ready for the National Evaluation Series (NES) Middle Grades Mathematics exam by refreshing your memory and ability to work with mathematical sets in statistics. These video-based lessons provide you with expert-level instruction on key concepts you are likely to encounter on test day, including discussions of:

  • Intersections, unions, and elements of mathematical sets
  • Types of subsets and cardinality
  • Cartesian products
  • Venn diagrams
  • Categorical propositions
  • Categorical-to-standard proposition changes

The lessons are video-based and designed to give you a thorough and memorable review experience, helping you to perform at your best on test day. The lesson quizzes and chapter exam act both as excellent test-taking practice as well as a measure of your progress and readiness for the test. Follow the links in the worksheet to review portions of the videos that contain material in which you are having the most difficulty.

NES Middle Grades Math: Sets Objectives

The NES Middle Grades Mathematics test has four content domains, including a Statistics, Probability, and Discrete Mathematics domain which includes about 25% of the overall content. The domain's Objective 0012 (discrete mathematics) is related to the content of this chapter. The national benchmark score of 220 is the minimum you must achieve to pass the test, which is scaled from 100-300.

Head to the NES website to find a testing center and date, register for the exam, and get a full breakdown of the test. There, they also publish a schedule for score report publication, so be sure to find out when to expect yours.

6 Lessons in Chapter 55: NES 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 NES Middle Grades Mathematics (203): Practice & Study Guide course

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