Topic/Skill
rea Under Definition/Tips
Graph and Gradient of Curve Example
1. Area Under To find the area under a curve, split it up
a Curve into simpler shapes – such as rectangles,
triangles and trapeziums – that approximate
the area.
2. Tangent to a A straight line that touches a curve at
Curve exactly one point.
3. Gradient of The gradient of a curve at a point is the
a Curve same as the gradient of the tangent at that
point.
1. Draw a tangent carefully at the point.
2. Make a right-angled triangle.
3. Use the measurements on the axes to
calculate the rise and run (change in y and
change in x)
4. Calculate the gradient.
Change∈ y
Gradient=
Change∈ x
16
¿ =8
2
Mr A. Coleman Glyn School
rea Under Definition/Tips
Graph and Gradient of Curve Example
1. Area Under To find the area under a curve, split it up
a Curve into simpler shapes – such as rectangles,
triangles and trapeziums – that approximate
the area.
2. Tangent to a A straight line that touches a curve at
Curve exactly one point.
3. Gradient of The gradient of a curve at a point is the
a Curve same as the gradient of the tangent at that
point.
1. Draw a tangent carefully at the point.
2. Make a right-angled triangle.
3. Use the measurements on the axes to
calculate the rise and run (change in y and
change in x)
4. Calculate the gradient.
Change∈ y
Gradient=
Change∈ x
16
¿ =8
2
Mr A. Coleman Glyn School
