Page 12 - Mathematics_Form_3

Relations

R Activity 1.1: Forming relations
among family members
0 In a group or individually, perform the

1 following tasks:
FOR ONLINE READING ONLY
1. Reflect on different ways of how
4 you relate with your families, such

9 as parents, children, uncles, aunts,
brothers, and sisters.

Figure 1.6: Pictorial diagram of a 2. Demonstrate that relation to other
one-to-many relation students. Use long sticks or rolled
Many-to-many relations papers as tools for connecting your
A many-to-many relation is the relation corresponding family members.
in which several elements of the first set Other students should observe and
are mapped onto more than one element create pictorial diagrams of the
of the second set. An example of a many- relations.
to-many relation is; 3. After the demonstrations, draw a
R = {(–2, –1), (–2, 0), (–1, –1), (–1, 0), pictorial diagram of the relation in

(–1, 2), (0, 1), (1, 0), (1, 2), (2, 1), task 2 on a large manila paper.
(2, 2)}. 4. Share your findings through a

A pictorial representation of the relation presentation for further inputs.
R is shown in the Figure 1.7.
R
Example 1.3

Let A = {0, 1, 2, 3, 4} and
B = {–2, –1, 0, 1, 2}. Draw an arrow
diagram to illustrate the relation which
connects each element of set A to its Mathematics for Secondary Schools
square in set B.

Solution
Place set A on the left hand side and set
Figure 1.7: Pictorial diagram of a B on the right hand side. 1 is a square
many-to-many relation
of 1 or –1, 4 is a square of 2 or –2 and
Engage in Activity 1.1 to familiarize so on. The pictorial diagram is shown
yourself on forming relations among in the following figure.
family members.

Student\s Book Form Three 5

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MATHEMATIC F3 SB.indd 5