SOLVING SET PROBLEMS USING VENN DIAGRAM IN 2 SIMPLE WAYS (Tagalog)
82This is a Module based lesson for MATH 7 with the topic INTRODUCTION TO VENN DIAGRAM and 2 SIMPLE WAYS OF SOLVING PROBLEMS INVOLVING SETS USING VENN DIAGRAM for Quarter 1 Week 2.
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Lesson Goals and Targets
Define a Venn Diagram
Illustrate in Venn Diagram the difference of Union and Intersection.
Solve problems involving sets using the Venn Diagram
Lesson Flow:
0:00 Sneak Peek Preview
2:18 Introduction
2:49 Lesson Goals and Targets
3:09 Concepts you should know first: Union
6:02 Concepts you should know first: Intersection
10:20 How to make a Venn Diagram?
14:55 Three sets Venn Diagram
16:04 Union and Intersection illustrated in Venn Diagram
19:14 Universal Set
20:24 Problem Solving using Venn Diagram
20:54 Example #1 Easy
28:24 Example #2 Easy
34:24 Example #3 Challenge
44:19 Closing Message and References
Check out the previous video:
MELC Math 7 Week 1 https://youtu.be/2E-lUPv6-Bo
Video Highlights:
In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.
The union of two sets A and B is the set of elements which are in A, in B, or in both A and B. In symbols,
Interestingly, Union is a data type in C programming that allows different data types to be stored in the same memory locations. A union is used almost in the same way you would declare and use a structure.
For example, if A = {1, 3, 5, 7} and B = {1, 2, 4, 6, 7} then A ∪ B = {1, 2, 3, 4, 5, 6, 7}.
In mathematics, the intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B (or equivalently, all elements of B that also belong to A).
The intersection of two sets A and B, denoted by A ∩ B, is the set of all objects that are members of both the sets A and B.
That is, x is an element of the intersection A ∩ B if and only if x is both an element of A and an element of B.
a diagram representing mathematical or logical sets pictorially as circles or closed curves within an enclosing rectangle (the universal set), common elements of the sets being represented by the areas of overlap among the circles. Each friend is an "element" (or "member") of the set. It is normal to use lowercase letters for them. Volleball {alex, casey, drew, hunter}. Basketball {casey, drew, jade}
Volleball {alex, casey, drew, hunter}. Basketball {casey, drew, jade}. You can now list your friends that play Volleball OR basketball. Volleball ∪ basketball = {alex, casey, drew, hunter, jade}. This is called a "Union" of sets and has the special symbol ∪: Not everyone is in that set ... only your friends that play Volleball or basketball (or both). In other words we combine the elements of the two sets. "Intersection" is when you must be in BOTH sets. In our case that means they play both Volleball AND basketball ... which is casey and drew.
You can also use Venn Diagrams for 3 sets. Let us say the third set is “Tennis", which drew, glen and jade play: Badminton {drew, glen, jade} This is now the union of the 3 sets.
You can also "subtract" one set from another. For example, taking Volleball and subtracting basketball means people that play Volleball but NOT basketball ... which is alex and hunter. And this is how we write it: Volleball − basketball = {alex, hunter}
References
https://en.wikipedia.org/wiki/Union_(set_theory)
https://www.onlinemath4all.com/word-problems-on-sets-and-venn-diagrams.html
https://www.mathsisfun.com/sets/venn-diagrams.html
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tags:
#VennDiagram #Union #Intersections #Intersectionofsets #unionofsets #problemsolvingforset #solvingproblemsusingvenndiagram #whatisvenndiagram?#wordproblems #mathematics #math #math7 #melcmath7 #melcmathematics7 #makingvenndiagram #venndiagraminsolvingproblems #comment #powerpoint #share #DefineaVennDiagram #UnionandIntersection #Intersection #HowtomakeaVennDiagram? #ThreesetsVennDiagram #UniversalSet #module