Power point slide showing the different types of relations

1. Subject: Mathematics
Grade: 8
Date: February 2022
Topic: Relations

2. Objectives
1. Define Relations
2. Identify one to one relations
3. Graph one to one relations
4. Identify one to many relations
5. Graph one to many relations

3. A Relation is a relationship between sets of values in one group to sets of
values in another group.
In math, the relation is between the x-values and y-values of ordered pairs
(x, y).
The set of all x-values is called the domain
The set of all y-values is called the range or (co-domain).

4. 1. Teacher will write X on the board/slide to represent the domain and Y to represent
the range.
1. Three girls and three boys will volunteer to form two groups under label x or y.
Where the boys will form a line in the domain and girls in the range as labeled on
the board/slide.
1. Based on the line each boy will be given a string to connect to the girl standing
beside him in the next line.
Introductory Activity

5. Introductory Activity
(continued)
Questions
1. What type of relation is this?
1. Define the relation using everyday relation and mathematical terminologies.

6. 1. Teacher will write X on the board/slide to represent the domain and Y to represent
the range.
1. Three boys and six girls will volunteer to form two groups under label x or y.
Where the boys will form a line in the domain and girls in the range as labeled on the
board/slide.
1. Based on the line each boy will be given two strings to connect to the girls standing
beside him in the next line.
Introductory
Activity 2

7. Introductory Activity 2
(continued)
Questions
1. What type of relation is this?
1. Define the relation using everyday relation and mathematical terminologies.

8. Definition of Relations
A relation is defined as a set of ordered pairs (x, y) that obeys a particular
rule.

9. Types of relations
https://www.youtube.com/watch?v=0gKQAckFnNI
What did you learn from the video?
VIDEO

10. There are four types of relations
● One - to - one
● One - to - many
● Many - to - one
● Many - to - many
Types of Relations

11. X Y
1
2
3
4
2
4
6
8
One to one Relation
Can you tell the rule?
When one element in the domain maps to one element in the co-domain (range),
the relationship is called one-to-one.
Relation Diagram or
Mapping Diagram

12. One to one Relation
x 2 4 6 8
y 1 2 3 4
Chart

13. One to one
Relation
Ordered pairs
(2, 1)
(4, 2)
(6, 3)
(8, 4)

14. One to one Relation graph

15. Domain and Range as sets
The numbers are listed in order from lowest to lowest to highest separated by
commas, in set of curly brackets (sometimes called braces),
Domain: {2, 4, 6, 8}
Range: {1, 2, 3, 4}

16. X Y
3
2
4
1
5
0
1
2
One to Many Relation
When one element in the domain relates to tow or more elements in the co-
domain (range), the relationship is called one-to-many.
Relation Diagram

17. One to Many
Relation
x 0 1 1 2 2
y 3 2 4 1 5
Chart

18. One to Many Relation
Ordered pairs
(0, 3)
(1, 2)
(1, 4)
(2, 1)
(2, 5)

19. One to Many Relation
graph

20. Domain and Range as sets
The numbers are listed in order from lowest to lowest to highest separated by
commas, in set of curly brackets (sometimes called braces),
Domain: {0, 1, 2}
Range: {1, 2, 3, 4, 5}

21. ● Write how to identify one-to-one and
one-to-many relation.
● Draw diagrams of your own to
represent each type of relation.
ACTIVITY

22. X Y
4
1
0
0
1
2
3
4
Many to One Relation
When two or more elements in the domain map to one element in the co-domain
(range), the relationship is called many-to-one.
Relation Diagram

23. Many to one Relation
x 0 1 2 3 4
y 4 1 0 1 4
Chart

24. Many to One Relation
Order pairs
(0, 4)
(1, 1)
(2, 0)
(3, 1)
(4, 4)

25. Many to One
Relation
graph

26. Domain and Range as sets
The numbers are listed in order from lowest to highest, separated by commas, in
set of curly brackets (braces),
Domain: {0, 1, 2, 3, 4}
Range: {0, 1, 4}

27. X Y
-2
0
1
2
-2
0
1
2
Many to Many Relation
When two or more elements in the domain relate to two or more elements
element in the co-domain (range), the relationship is called many-to-many.
Relation Diagram

28. Many to Many
Relation
x -2 0 0 1 2
y 0 2 -2 1 0
Chart

29. Order pairs
(-2, 0)
(0, 2)
(0, -2)
(1, 1)
(2, 0)
Many to Many
Relation

30. Many to Many Relation graph

31. Domain and Range as sets
The numbers are listed in order from lowest to highest, separated by commas, in
set of curly brackets (braces),
Domain: {-2, 0, 1, 2}
Range: {-2, 0, 1, 2}

32. ● Write how to identify many-to-one
and many-to-many relation.
● Draw diagrams of your own to
represent each type of relation.
ACTIVITY