Ch 50: SHSAT Math: Sets & Subsets

About This Chapter

Increase your knowledge of sets and subsets while improving your chances of success on the SHSAT. Watch short video lessons that explore mathematical sets, the Cartesian product, Venn diagrams and more.

SHSAT Math: Sets & Subsets - Chapter Summary

The engaging video lessons in this chapter are designed to help you understand more about sets and subsets. After reviewing the lessons, you'll be prepare for:

  • Showcasing knowledge of the elements, intersections and unions of mathematical sets
  • Understanding cardinality and types of subsets
  • Finding the Cartesian product
  • Exhibiting an understanding of Venn diagrams
  • Detailing how categorical propositions are written
  • Changing categorical propositions to standard form
  • Defining and reading the two-way table

Instructors in the lessons offer step-by-step guidance to ensure you understand how to perform operations associated with sets and subsets. If you need to revisit specific lesson topics to improve your comprehension of the subject, take advantage of timelines that allow you to skip around in the videos.

SHSAT Math: Sets & Subsets Chapter Objectives

In New York City, students in grades 8 and 9 who want to attend NYC specialized high schools are required to take the SHSAT, which stands for Specialized High School Admissions Test. Schools determine admission eligibility by taking composite scores from the exam and choosing students with the highest scores until they fill their attendance for the year. The test is composed of a verbal and mathematics section with the latter consisting of 50 multiple-choice word problems and computation questions. This section is 75 minutes in length.

Use this SHSAT Math: Sets & Subsets chapter to improve your chances of success on the test. In addition to watching the videos, take self-assessment quizzes that review the topics you learned in the lessons. If you answer a question incorrectly, you can click a link that takes you back to the related portion of the lesson to help you refresh your knowledge before retaking the quiz.

7 Lessons in Chapter 50: SHSAT Math: Sets & Subsets
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.

What is a Two-Way Table?

7. 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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