Rate of change exploration
Credits to Michael Nolan for orginal work, with answers and additional related resources available on IBEN Exchange.
Find the gradient of the line
In this case, you should have divided the change in distance
by the change in time.
The graph below shows the distance travelled (metres) by a particle with respect to time (seconds). Find the gradient of this line
![](file:////Users/clfifpackman/Library/Group%20Containers/UBF8T346G9.Office/TemporaryItems/msohtmlclip/clip_image002.png)
By considering the variables, explain what you did to find the gradient of this line.Therefore, what does the gradient of this line tell us?
Consider the graphs below. What do they all have in common regarding the rate of change?
GRADIENTS AND RATES OF CHANGE
![](data:image/png;base64,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)
Think about. If the rate of change was not constant, what would you expect the graph to look like?
Describing the rate of change
Use the graph to complete the statements below.
![](data:image/png;base64,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)
Tha rate of change is zero at the point
Tha rate of change is constant at the point
The rate of change is greatest at point
The rate of change is decreasing at point
The rate of change is increasing at point
Find the rate of change
Find the rate of change at each of the points below.
At point A
At point B
Point C
Point D
Point E
Point F
Point G
Point H