Difference between revisions of "Gradient"
(Created page with "==Key Stage 3== ===Meaning=== Gradient is how steep or shallow a line is compared to the horizontal. ===About Gradient=== : The gradient of a slope is how much th...") |
(→Equation) |
||
| Line 68: | Line 68: | ||
| style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] shows a positive [[gradient]]. | | style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] shows a positive [[gradient]]. | ||
| style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] shows a negative [[gradient]]. | | style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] shows a negative [[gradient]]. | ||
| + | |} | ||
| + | {| class="wikitable" | ||
|- | |- | ||
|[[File:ScatterGraphCurve.png|center|300px]] | |[[File:ScatterGraphCurve.png|center|300px]] | ||
Revision as of 10:38, 25 March 2019
Contents
Key Stage 3
Meaning
Gradient is how steep or shallow a line is compared to the horizontal.
About Gradient
- The gradient of a slope is how much the height increases as the horizontal distance increases. A steep slope has a large increase in height over a short horizontal distance.
- The gradient on a scatter graph is the rate at which the variable on the y-axis changes with a change on the x-axis.
- A positive gradient on a scatter graph is one where as x increases, y increases.
- A negative gradient on a scatter graph in one where as x increases, y decreases.
Equation
Gradient = (Change in y)/(Change in x)
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Where\[m\] = The gradient.
\(y_2\) = The final y value.
\(y_1\) = The initial y value.
\(x_2\) = The final x value.
\(x_2\) = The initial x value.
Examples
 |
 |
| This scatter graph shows a positive gradient. | This scatter graph shows a negative gradient. |
Key Stage 4
Meaning
Gradient is how steep or shallow a line is compared to the horizontal.
About Gradient
- The gradient of a slope is how much the height increases as the horizontal distance increases. A steep slope has a large increase in height over a short horizontal distance.
- The gradient on a scatter graph is the rate at which the variable on the y-axis changes with a change on the x-axis.
- A positive gradient on a scatter graph is one where as x increases, y increases.
- A negative gradient on a scatter graph in one where as x increases, y decreases.
Equation
Gradient = (Change in y)/(Change in x)
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Where\[m\] = The gradient.
\(y_2\) = The final y value.
\(y_1\) = The initial y value.
\(x_2\) = The final x value.
\(x_2\) = The initial x value.
|
|
| This scatter graph shows a positive gradient. | This scatter graph shows a negative gradient. |
 |
 |
| This scatter graph of Image Distance against Object Distance of a Lens begins with a steep negative gradient which becomes more shallow until the gradient is almost zero. | This scatter graph showing how temperature affects enzyme activity begins with a steep positive gradient but then changes to a steep negative gradient. |