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
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
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
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.
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