Your SlideShare is downloading. ×
Math(F5)  Gradient And Area Under A Graph
Upcoming SlideShare
Loading in...5
×

Thanks for flagging this SlideShare!

Oops! An error has occurred.

×
Saving this for later? Get the SlideShare app to save on your phone or tablet. Read anywhere, anytime – even offline.
Text the download link to your phone
Standard text messaging rates apply

Math(F5) Gradient And Area Under A Graph

4,336

Published on

Published in: Education, Technology
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
4,336
On Slideshare
0
From Embeds
0
Number of Embeds
1
Actions
Shares
0
Downloads
146
Comments
0
Likes
0
Embeds 0
No embeds

Report content
Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
No notes for slide

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

×