Page 122 - Mathematics

Each point on a plane is uniquely represented by means of an ordered pair of real
numbers called the coordinates of a point. The xy-plane is divided into four parts
called quadrants as shown in Figure 6.1. The first quadrant (I) has positive values
of x and y, the second quadrant (II) has negative values of x and positive values of
y. The third quadrant (III) has all negative values of x and y and the fourth quadrant
(IV) has x positive values and y negative values. Recall that, the positions of points
on the xy-plane are determined by using the x and y coordinates. For example,
for the point (4, 6), the first number 4 represents a distance from the origin along
the x-axis and 6 represents a distance from the origin along the y-axis. Engage in
Activity 6.1 to review the basic concepts in coordinate geometry.

Tanzania Institute of Education
Activity 6.1: Reading coordinates of points on xy-plane

1. Use your class sitting arrangement to locate at least 5 positions of different
students.
2. Use the positions of students in task 1 to take the following measurements:
(a) Measure the perpendicular distances from their position to both the
left and front walls.
(b) Record the measurements obtained in (a) in the form of (x, y) where
x represents the distance from the left wall and y represents the
distance from the front wall.
3. Repeat task 2 for all the positions of students identified in task 1.
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4. Represent the coordinates of the points in tasks 2 and 3 on the xy plane.

Example 6.1

Write the ordered pair for each point shown in the following figure.

y
H
4
I G
3
D C
2
Mathematics Form One -3 L -2 -1 E -1 0 0 M 1 A 2 3 K 4 B 5 F F x
1 1

J
-2

116

25/10/2024 09:51:43
Mathematics form 1.indd 116
Mathematics form 1.indd 116 25/10/2024 09:51:43