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Ch 54: 6th-8th Grade Math: Sets

About This Chapter

These quick video lessons help middle-schoolers learn and review the basics of mathematical sets. Each video comes with a transcript, providing students an additional way to learn, and a short self-assessment to test their comprehension of the material.

6th - 8th Grade Math: Sets - Chapter Summary

Engaging, informative, and usually less than ten minutes long, these videos are designed to help your student understand and practice set theory in mathematics. Lessons explain Venn diagrams and two-way tables by showing students examples and guiding them through the process of interpretation. They make it easy to review the basics of mathematical set theory, explaining the terms your student has been learning in class. Video tags allow ease of access to the specific topics your student would like to explore.

Chapter Lessons and Objectives

Lesson Objective
Mathematical Sets: Elements, Intersections & Unions Learn the basics of sets and set notation.
Cardinality & Types of Subsets (Infinite, Finite, Equal, Empty) Define cardinality and learn about set types, including subsets, empty sets, and the infinite set.
How to find the Cartesian Product Discover the process of finding the Cartesian product of two different sets.
Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union Learn how to read a Venn diagram.
Categorical Propositions: Subject, Predicate, Equivalent & Infinite Sets Explore categorical propositions in mathematical sets.
How to Change Categorical Propositions to Standard Form Convert categorical propositions to standard form.
What is a Two-Way Table? Read two-way tables and learn to interpret them.

7 Lessons in Chapter 54: 6th-8th Grade Math: Sets
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.

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Other Chapters

Other chapters within the 6th-8th Grade Math: Practice & Review course

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