2. STUDENT TEACHER NAME - I.INFINA.V.RAYAL
SCHOOL NAME - SPIC NAGAR HIGHER
SECONDARY SCHOOL,
SPIC NAGAR
SUBJECT - MATHEMATICS
CLASS - VIII A
LESSON TITLE - GRAPHS
TIME AND PERIOD - 45 MINUTES & V PERIOD
DATE - 27.11.2014
CLASS STRENGTH - 43
3. The Pupil
- Discuss the means to draw the graph.
- Recalls the axes in a graph and coordinates.
- Recognizes the method of drawing axes.
- Analyses the given problem.
- Use graph sheet with ease and accuracy.
- Draws the graph neatly.
- Recognizes to locate the points.
- Recognizes plotting the points.
7. The whole graph sheet is divided
into two axis.
The horizontal line is called as
X- axis. It is denoted by XOX’.
The vertical line is called as
Y-axis. It is denoted by YOY’.
8. The point of intersection of
X-axis and Y- axis is called
as ORIGIN.
9. The whole plane of
graph is divided into
four parts which we
call as QUADRANTS.
I quadrant – ( +,+)
II quadrant _ (-,+)
III quadrant _ (-,-)
IV quadrant _ (+.-)
10. PLOTTING OF POINTS IN THE GRAPH
SHEET
Plot the point A(4,2) on the graph sheet.
Solution:
Given point is A(4,2).
Here,
The X coordinate of A is 4.
The Y coordinate of A is 2.
Both are positive.
It lies in the FIRST quadrant.
PROBLEM 1
SCALE:
X axis 1 cm = 1 Unit
Y axis 1 cm = 1 Unit
11. Plot the point B(2,-4)on the graph sheet.
Solution:
Given point is B(2,-4).
Here,
The X coordinate of B is 2.
The Y coordinate of B is -4.
Both are positive.
It lies in the THIRD quadrant.
PROBLEM 2
SCALE:
X axis 1 cm = 1 Unit
Y axis 1 cm = 1 Unit
12. Drawing straight lines parallel to the
coordinate axes
PROBLEM 3
Draw a graph of X=3
Solution:
Here the X coordinate is 3.
To find Y the following table can be used.
Here the X coordinate does not change.
X 3 3
Y 3 -4
A(3,3)
B(3,-4)SCALE:
X axis 1 cm = 1 Unit
Y axis 1 cm = 1 Unit
13. A(5,7)
B( 2,3)
Drawing straight line using two points
PROBLEM 4
Draw the line joining the points
A(5,7) and B(2,3)
Solution:
Given A(5,7) B(2,3)
Here,
A lies on the first quadrant.
B lies on the first quadrant.
SCALE:
X axis 1 cm = 1 Unit
Y axis 1 cm = 1 Unit
14. PROBLEM 5
Draw the line joining the points
A(-3,2),B(0,0) and C(3,-2)
Solution:
Given A(-3,2),B(0,0) ,C(3,-2)
A lies on the second quadrant.
B lies on the origin.
C lies on the fourth quadrant.
SCALE:
X axis 1 cm = 1 Unit
Y axis 1 cm = 1 Unit
A(-3,2)
B(0,0)
C(3,-2)
15. 1) Who is the FATHER OF GRAPH ?
2) What is origin?
3) In which quadrant the following points lies:
i) (6,2)
ii) (0,7)
iii) (-2,-6)
iv) (3,-5)
16. 1) Plot the following points on the graph sheet:
i) A(2,3) ii) B(0,6)
2) Plot the points and draw a line through the points:
i) (2,7) (-2,-3) ii) (-5,-3) (5,1)