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Math(F5)  Gradient And Area Under A Graph
 

Math(F5) Gradient And Area Under A Graph

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    Math(F5)  Gradient And Area Under A Graph Math(F5) Gradient And Area Under A Graph Presentation Transcript

    •  
    •  
    • GRADIENT AND AREA UNDER A GRAPH
    • Distance-Time Graph
      • How to draw a graph?
      • Recall previous knowledge
      • x axis represent time
      • y axis represent distance
      • Note :
      • When a distance-time graph is drawn, the gradient of the graph gives the speed.
    • Example
      • The following table shows the distance travelled and time taken by Amin to his office. Draw the distance-time graph made by Amin
      15 10 5 Distance (km) 0.3 0.2 0.1 Time (hours)
    • The Gradient of a Distance-Time Graph
      • What is gradient?
      • - Is the change of the quantity on the vertical axis with respect to the change of the quantity on the horizontal axis
    • How to find gradient?
      • Recall the formula of gradient :
      • m =
      • Example :…………..
      • What is the general equation of straight line?
      • The gradient of distance-time graph represent speed
      • Please do worksheet 1…Exercise 6.1 B and 6.1 C with your partner
      Exercise
    •  
    • How to find speed for a period of time from a distance-time graph
      • Notes:
    • The distance-time graph shows the distance covered by a boy from the starting point to another point and back. Example:
      • a) Find the speed for the first 15 seconds.
      • b) How long did he rest?
      • c) Find the speed where the boy back to starting point.
      • d) Find the average speed for the whole journey.
      From the graph,
    • a) Find the speed for the first 15 seconds. Answers:
      • a) Speed for the first 15 seconds:
    • Answers:
      • b) How long did he rest?
      • Time taken = 30 s – 15 s
      • = 15 seconds
      -He takes 15 seconds to rest
    • Answers:
      • c) The speed where the boy back to the starting point:
      Negative sign indicates the direction of the journey is reversed
    • Answers:
      • d)
      • Please do worksheet 1. Exercise 6.1 D
      Exercise
    • Answers for Worksheet 1 (6.1D)
      • a) Speed from technician workshop to the house of the first customer:
      • b) Speed from 1 st customer house to the 2 nd customer house (BC):
      • c)
      • Please do worksheet 2
      Exercise
      • Submit it after the
      • end of the class
    • SUMMARY
      • Gradient of a graph is the rate of change in the quantity on the vertical axis with respect to the change in the quantity on the horizontal axis.
      • Gradient of the distance-time graph represents the speed.
    • Formula used:
    • homework
      • (ex6.1(d) , no 3&4)
    • THE END