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CH - 15, Introduction To Graph

The document contains information about the Cartesian coordinate system and line graphs. It includes: 1) The Cartesian coordinate system uses perpendicular x and y axes to locate points on a plane, with the origin at their point of intersection. It divides the plane into four quadrants. 2) Line graphs are charts that connect data points over time using line segments. Examples show patient temperature, sales figures, and distance traveled over time. 3) Questions assess reading line graphs to extract values, compute differences, identify trends, scaling, and derive conclusions about speed and stops from the slope and shape of the graphs.

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82 views3 pages

CH - 15, Introduction To Graph

The document contains information about the Cartesian coordinate system and line graphs. It includes: 1) The Cartesian coordinate system uses perpendicular x and y axes to locate points on a plane, with the origin at their point of intersection. It divides the plane into four quadrants. 2) Line graphs are charts that connect data points over time using line segments. Examples show patient temperature, sales figures, and distance traveled over time. 3) Questions assess reading line graphs to extract values, compute differences, identify trends, scaling, and derive conclusions about speed and stops from the slope and shape of the graphs.

Uploaded by

ange055751
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© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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SHARJAH INDIAN SCHOOL

MATHEMATICS WORKSHEET
GRADE:VIII
CH-15, INTRODUCTION TO GRAPH
CARTESIAN COORDINATE SYSTEM:
 Cartesian Coordinate System is the system used to describe the position of points and lines in a
plane.
Cartesian Plane and Coordinate Axes:
 A Cartesian Plane is formed by two perpendicular number lines, the horizontal line is called
x-axis and the vertical line is called y-axis. These two perpendicular lines together are called
Coordinate axes.
 The point of intersection of both the axes is called the Origin. It is denoted by O.
 The Coordinate axes divide the Cartesian plane into four parts known as Quadrants. Each part is
one-fourth of the Cartesian plane. Thus we have four quadrants numbered as quadrant I, II, III
and IV anticlockwise.
 The two coordinate axes help to plot any points on the Cartesian plane.
Cartesian Plane

A Line Graph:
 A line graph is a graphical representation of information that changes over a period of time.
It is a chart made by joining points using line segments.
Do the following Questions:
1. The following graph shows the temperature of a patient in a hospital, recorded every hour.
i) What was the patient’s temperature at 1 pm?
ii) When was the patient’s temperature 38.5 C?
iii) The Patient’s temperature was the same times during the period given?
iv) What was the temperature at 1.30pm? How did you arrive at your answer?
v) During which periods did the patient’s temperature showed an upward trend?

2. The following line graph shows the yearly sales figures for a manufacturing company.
i) What were the sales in (a) 2002 (b) 2006?
ii) What were the sales in (a) 2003 (b) 2005?
iii) Compute the difference between the sales in 2003 and 2006.
iv) In which year was there the greatest difference between the sales as compared to its previous
year?

3. The courier-person cycles from a town to a neighbouring suburban area to deliver a parcel to a
merchant. His distance from the town at different times is shown by the following graph.
i) What is the scale taken for the time axis?
ii) How much time did the person take for the town?
iii) How far is the place of the merchant from the town?
iv) Did the person stop on his way? Explain.
v) During which period did he ride fastest?
4. The given graph describes the distances of a car from a city P at different times when it is
travelling from City P to City Q, which are 350km apart. Study the graph and answer the
following questions.

i) What information is given on the two axes?


ii) From where and when did the car begin its journey?
iii) How far did the car go in the first hour?
iv) How far did the car go in (a) the 2nd hour (b) the 3rd hour?
v) Was the speed same during the first 3 hours? How do you know it?
vi) Did the car stop for some duration at any place? Justify your answer?
vii) When did the car reach the City Q?

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