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# Math(F5) Gradient And Area Under A Graph

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### Transcript

• 1.
• 2.
• 3. GRADIENT AND AREA UNDER A GRAPH
• 4. 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.
• 5. 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)
• 6. 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
• 7. 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
• 8.
• Please do worksheet 1…Exercise 6.1 B and 6.1 C with your partner
Exercise
• 9.
• 10. How to find speed for a period of time from a distance-time graph
• Notes:
• 11. The distance-time graph shows the distance covered by a boy from the starting point to another point and back. Example:
• 12.
• 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,
• 13. a) Find the speed for the first 15 seconds. Answers:
• a) Speed for the first 15 seconds:
• 14. Answers:
• b) How long did he rest?
• Time taken = 30 s – 15 s
• = 15 seconds
-He takes 15 seconds to rest
• 15. Answers:
• c) The speed where the boy back to the starting point:
Negative sign indicates the direction of the journey is reversed
• 16. Answers:
• d)
• 17.
• Please do worksheet 1. Exercise 6.1 D
Exercise
• 18. Answers for Worksheet 1 (6.1D)
• a) Speed from technician workshop to the house of the first customer:
• 19.
• b) Speed from 1 st customer house to the 2 nd customer house (BC):
• 20.
• c)
• 21.
• Please do worksheet 2
Exercise
• 22.
• Submit it after the
• end of the class
• 23. 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.
• 24. Formula used:
• 25. homework
• (ex6.1(d) , no 3&4)
• 26. THE END