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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..."
==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|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|scatter graph]] is one where as x increases, y increases.
: A negative [[gradient]] on a [[Scatter Graph|scatter graph]] in one where as x increases, y decreases.
===Equation===
Gradient = (Change in y)/(Change in x)
<math>m=\frac{y_2-y_1}{x_2-x_1}</math>
Where:
<math>m</math> = The [[gradient]].
<math>y_2</math> = The final y value.
<math>y_1</math> = The initial y value.
<math>x_2</math> = The final x value.
<math>x_2</math> = The initial x value.
===Examples===
{| class="wikitable"
|-
|[[File:PositiveGradient.png|center|300px]]
|[[File:NegativeGradient.png|center|300px]]
|-
| 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]].
|}
==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|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|scatter graph]] is one where as x increases, y increases.
: A negative [[gradient]] on a [[Scatter Graph|scatter graph]] in one where as x increases, y decreases.
===Equation===
Gradient = (Change in y)/(Change in x)
<math>m=\frac{y_2-y_1}{x_2-x_1}</math>
Where:
<math>m</math> = The [[gradient]].
<math>y_2</math> = The final y value.
<math>y_1</math> = The initial y value.
<math>x_2</math> = The final x value.
<math>x_2</math> = The initial x value.
{| class="wikitable"
|-
|[[File:PositiveGradient.png|center|300px]]
|[[File:NegativeGradient.png|center|300px]]
|-
| 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]].
|-
|[[File:ScatterGraphCurve.png|center|300px]]
|[[File:ScatterGraphCurve2.png|center|300px]]
|-
| style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|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.
| style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] showing how [[temperature]] affects [[enzyme]] activity begins with a steep positive [[gradient]] but then changes to a steep negative [[gradient]].
|}
===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|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|scatter graph]] is one where as x increases, y increases.
: A negative [[gradient]] on a [[Scatter Graph|scatter graph]] in one where as x increases, y decreases.
===Equation===
Gradient = (Change in y)/(Change in x)
<math>m=\frac{y_2-y_1}{x_2-x_1}</math>
Where:
<math>m</math> = The [[gradient]].
<math>y_2</math> = The final y value.
<math>y_1</math> = The initial y value.
<math>x_2</math> = The final x value.
<math>x_2</math> = The initial x value.
===Examples===
{| class="wikitable"
|-
|[[File:PositiveGradient.png|center|300px]]
|[[File:NegativeGradient.png|center|300px]]
|-
| 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]].
|}
==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|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|scatter graph]] is one where as x increases, y increases.
: A negative [[gradient]] on a [[Scatter Graph|scatter graph]] in one where as x increases, y decreases.
===Equation===
Gradient = (Change in y)/(Change in x)
<math>m=\frac{y_2-y_1}{x_2-x_1}</math>
Where:
<math>m</math> = The [[gradient]].
<math>y_2</math> = The final y value.
<math>y_1</math> = The initial y value.
<math>x_2</math> = The final x value.
<math>x_2</math> = The initial x value.
{| class="wikitable"
|-
|[[File:PositiveGradient.png|center|300px]]
|[[File:NegativeGradient.png|center|300px]]
|-
| 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]].
|-
|[[File:ScatterGraphCurve.png|center|300px]]
|[[File:ScatterGraphCurve2.png|center|300px]]
|-
| style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|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.
| style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] showing how [[temperature]] affects [[enzyme]] activity begins with a steep positive [[gradient]] but then changes to a steep negative [[gradient]].
|}