About This Chapter
Who's it for?
Anyone who needs help understanding integrated algebra material for the NY Regents Exam will benefit from taking this course. You will be able to grasp the subject matter faster, retain critical knowledge longer and earn better grades. You're in the right place if you:
- Have fallen behind in understanding cardinality and types of subsets or working with Venn diagrams.
- Need an efficient way to learn about sets.
- Learn best with engaging auditory and visual tools.
- Struggle with learning disabilities or learning differences, including autism and ADHD.
- Experience difficulty understanding your teachers.
- Missed class time and need to catch up.
- Can't access extra math learning resources at school.
How it works:
- Start at the beginning, or identify the topics that you need help with.
- Watch and learn from fun videos, reviewing as needed.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Submit questions to one of our instructors for personalized support if you need extra help.
- Verify you're ready by completing the Sets chapter exam.
Why it works:
- Study Efficiently: Skip what you know, review what you don't.
- Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
- Be Ready on Test Day: Use the Sets chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any relevant question. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students will review:
In this chapter, you'll learn the answers to questions including:
- How do the elements in mathematical sets relate to each other?
- What is the definition of cardinality?
- What are the different types of subsets?
- How does a Venn diagram work?
- What is the guiding principle behind the Cartesian product?
- How are categorical propositions written?
- What's the best way to read a 2-way table?
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.
8. Boundary Point of Set: Definition & Problems
This lesson covers a fairly advanced topic: the definition of the boundary points of a set. You will learn an intuitive way to visualize the boundary points and the precise definition of boundary point that is used in mathematics.
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Other chapters within the NY Regents Exam - Integrated Algebra: Help and Review course
- NY Regents - Number Theory & Basic Arithmetic: Help and Review
- NY Regents - Problems with Decimals and Fractions: Help and Review
- NY Regents - Problems with Percents: Help and Review
- NY Regents - Problems with Exponents: Help and Review
- NY Regents - Problems with Exponential Expressions: Help and Review
- Radical Expressions & Equations Problems: Help & Review
- Algebraic Expression & Equation Problems: Help & Review
- NY Regents - Distributing Terms in Algebra: Help and Review
- Inequalities & Linear Equations in Algebra: Help & Review
- NY Regents - Matrices and Absolute Value: Help and Review
- NY Regents - Overview of Functions: Help and Review
- NY Regents - Factoring with Variables: Help and Review
- NY Regents - Quadratics & Polynomials: Help and Review
- NY Regents - Rational Expressions: Help and Review
- NY Regents - Graphing Functions: Help and Review
- Ratios, Percent & Proportions: Help & Review
- NY Regents - Probability and Statistics: Help and Review
- NY Regents - Probability Mechanics: Help and Review
- NY Regents - Working with Data: Help and Review
- NY Regents - Well-Known Equations: Help and Review
- NY Regents - Intro to Trigonometry: Help and Review
- NY Regents - Measurement for Algebra Students: Help and Review
- NY Regents - Geometry for Algebra Students: Help and Review
- NY Regents Exam - Integrated Algebra Help and Review Flashcards