Calculating the rate of change
I can calculate the gradient and interpret this as the rate of change for real life contexts.
Calculating the rate of change
I can calculate the gradient and interpret this as the rate of change for real life contexts.
Lesson details
Key learning points
- For straight-line sections of a graph, it is easy to calculate the gradient.
- The gradient tells us the rate that one quantity changes with respect to the other.
- The gradient gives the rate that the $$y$$ variable changes with respect to the $$x$$ variable.
- The gradient can be interpreted in context and should be for real life contexts.
Common misconception
Gradient is change in $$y$$ divided by change in $$x$$.
The gradient is calculated by considering the change in $$y$$ when moving one unit in the positive $$x$$ direction.
Keywords
Rate of change - The rate of change is how one variable changes with respect to another. If the change is constant, there is a linear relationship between the variables.
Gradient - The gradient is a measure of how steep a line is. It is calculated by finding the rate of change in the $$y$$-direction with respect to the positive $$x$$-direction.
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Video
Loading...