About This Chapter
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.
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.
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.
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.
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.
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.
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.
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.
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Other chapters within the SHSAT: Practice & Study Guide course
- Reading Comprehension Approaches
- Writing & Editing Written Work
- Practice Analyzing & Interpreting Texts
- SHSAT Math: Basic Arithmetic Operations
- SHSAT Math: Divisibility
- SHSAT Math: Number Properties
- SHSAT Math: Number Theory
- SHSAT Math: Factoring
- SHSAT Math: Estimation & Rounding
- SHSAT Math: Whole Numbers
- SHSAT Math: Simplifying Expressions
- SHSAT Math: Negative Numbers
- SHSAT Math: Absolute Value
- SHSAT Math: Integers
- SHSAT Math: Rational Numbers
- SHSAT Math: Inequalities
- SHSAT Math: Operations with Decimals
- SHSAT Math: Introduction to Fractions
- SHSAT Math: Operations with Fractions
- SHSAT Math: Percents
- SHSAT Math: Exponents & Exponential Expressions
- SHSAT Math: Roots & Radical Expressions
- SHSAT Math: Basic Algebraic Expressions
- SHSAT Math: Algebraic Distribution
- SHSAT Math: Simplifying & Solving Rational Expressions
- SHSAT Math: The Coordinate Graph
- SHSAT Math: Linear Equations
- SHSAT Math: Systems of Linear Equations
- SHSAT Math: Properties of Functions
- SHSAT Math: Graphing Functions
- SHSAT Math: Solving Word Problems
- SHSAT Math: Introduction to Geometric Figures
- SHSAT Math: Triangles
- SHSAT Math: Quadrilaterals
- SHSAT Math: Circles
- SHSAT Math: Circular Arcs & Measurement
- SHSAT Math: Polyhedrons & Geometric Solids
- SHSAT Math: Symmetry, Similarity & Congruence
- SHSAT Math: Triangle Theorems & Proofs
- SHSAT Math: Similar Polygons
- SHSAT Math: The Pythagorean Theorem
- SHSAT Math: Units of Measurement
- SHSAT Math: Perimeter & Area
- SHSAT Math: Data & Graphs
- SHSAT Math: Probability
- SHSAT Math: Statistics
- SHSAT Math: Rates, Ratios & Proportions
- SHSAT Math: Consumer Math
- SHSAT Math: Number Sequences
- SHSAT Flashcards