Back to: MATHEMATICS JSS 2
Welcome to Class !!
We are eager to have you join us !!
In today’s Mathematics class, We will be revising some second term topics such as distancetime Graph and VelocityTime Graphs. We will also be looking at the Representation of reallife Situations on a Graph. We hope you enjoy the class!
CONTENT
Distance – Time graph
Velocity Time graph
Rerepresentation of reallife situations on graphs
Choosing scales.
Distance – Time Graph
Graphs are used to show the relationship between two quantities. A continuous graph is in the form of a continuous line and shows the relationship between the two quantities.
A distancetime graph shows the distance travelled against the time taken and is used to calculate speeds.
A distancetime graph is also called a Travel graph. In travel graph, the time is usually plotted xaxis and the distance on yaxis.
Example
The graph below shows a man’s journey from home to another town. Use the graph to find:
 The time taken to travel 75km
 The distance travelled in 3 hours
 The time taken to cover a distance of 175km
 The man’s speed in km/h
Solution with explanation
The horizontal (or xaxis) shows the time in hours.
2 units on the xaxis = 1 hour
So 1 unit = hr or 30 mins
The vertical axis (or yaxis) shows the distance in km.
2 units on the yaxis = 50km,
We can use a travel graph to find a distance and time at any point on the graph.
For example:
 The time taken to travel 75km is 1 h 30 mins (see the arrow)
 The distance travelled in 3 hours is 150km (see the arrow)
 It took the man 3 hours 30 mins to cover a distance of 175 km.
 In 3 hrs the man travelled 175km
= 50km/hr
EVALUATION
 A girl walks along a road at a speed of 100m per minute
 Copy and complete the table
Time(s)  0  1  2  3  4  5  6 
Distance(m)  0  100  200 
 Using a scale of 2cm to 1min on the horizontal axis and 2cm to 100m on the vertical axis draw the graph of the information
 Use the graph to find
 How far the girl has walked after 4.6mins
 How long it takes her to walk 380m
READING ASSIGNMENT
Essential Mathematics Chapter 16, pgs. 184187 AJS Oluwasanmi
Exercise 16.6 Nos 1 & 3 page 201
GRAPH OF REALLIFE SITUATION
Choosing Scale.
In choosing a scale, choose a big scale while drawing graphs. Refer to the given data to find the upper and lower limit of the scale. Always show the origin if possible on 2cm graph paper use scale of 2cm to 1, 2, 5, 10, 20, 50, 100
GENERAL EVALUATION:
 The labour charges preparing a television set consists of a standing charge of N500 on all bills and an hourly rate of N200 per hour.

 Make a table showing the total labour charges for jobs which take ^{1}/_{2}h, 1h, 2h, 3h, 4h,
 Choose a suitable scale and draw a graph of the information
 Find the total labour charge for a job which takes

 i. 2^{1}/_{2}hrs
 ii. 24min


Time(hr)  ^{1}/_{2}  1  2  3  4 
Standing  600  700  900  1100  1300 
READING ASSIGNMENT
New general mathematics, UBE Edition, chapter 122. Pages 105 – 107
Essential Mathematics by A J S Oluwasanmi, chapter 18, pgs. 187 – 191
WEEKEND ASSIGNMENT
 Which of the following statements is not true about the equation of the form y = Mx + c?
A. x and y are called the variables. B. only c is the constant term C. the graph of this equation is always a straight line D. the intercept of the graph on the yaxis is c.
The graph below shows the cost of cloth (in naira) and length of cloth (in metre). Use the graph to answer questions 2 to 5
 Find the cost of 12 metres of cloth. N2000 B. N2200 C. N2400 D. N2800
 Find the cost of 38 metres of cloth N7600 B. N7200 C. N7400 D. N7800
 How many metres of cloth can be bought for N4400? 20m B. 25m C. 24m D. 21m
 How many metres of cloth can be bought for N7800? 35m B. 37m C. 38m D. 39m
THEORY
 Essential mathematics bk. 2 exercise 16.6 number 1 page 201
 The table below shows the speed of a train at various times
Time (h)  0  2  4  6  8  10  14 
Speed (km/h)  0  15  15  35  35  40  0 


 Draw a velocitytime graph for the journey
 Find the acceleration during each stage of the journey
 Find the distance covered by the train in the first 4 hours.

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In our next class, we will be talking about Angles and Polygons. We are very much eager to meet you there.
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