Students are given a word problem with the distance travelled and the time taken by a cyclist. They need to choose the correct form for the linear equation, compute the gradient, and plot the line.

The distance travelled and time taken are randomised.

Speed, distance and time are all integer values.

Students are shown to intersecting lines in the context of comparing the costs of services from two companies. They are asked to identify the y-intercept, the gradients, the point of intersection and are asked to interpret the graphs in the context of the word problem.

Students are shown to intersecting lines in the context of a gym visiting program. They are asked to identify the y-intercept, the gradients, the point of intersection and are asked to interpret the graphs in the context of the word problem.

Find the gradient of  $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=a$

Gradient of $f(x,y,z)$.

Should include a warning to insert * between multiplied terms

Gradient of $f(x,y,z)$.

Should warn that multiplied terms need * to denote multiplication.

Find all points for which the gradient of a scalar field is orthogonal to the $z$-axis.

Should warn that multiplied terms need * to denote multiplication.

Given $f(x)=(x+b)^n$. Find the gradient and equation of the chord between $(a,f(a))$ and $(a+h,f(a+h))$ for randomised values of $a$, $b$ and $h$.

Find the equation of a straight line which has a given slope or gradient $m$ and passes through the given point $(a,b)$.

There is a video in Show steps which goes through a similar example.

Given the gradient of a slope and the coefficient of friction for a mass resting on it, use the equations of motion to calculate how it moves.

Includes a GeoGebra rendering of the model.

Given the gradient of a slope and the coefficient of friction for a mass resting on it, use the equations of motion to calculate how it moves.

Includes a GeoGebra rendering of the model.

Find the gradient of  $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=n$

Given the gradient of a slope and the coefficient of friction for a mass resting on it, use the equations of motion to calculate how it moves.

Includes a GeoGebra rendering of the model.

A quartic graph is given. The question is to determine whether the gradient is positive or negative at various values of x. Non-calculator. Advice is given.

Find the equation of a straight line which has a given gradient $m$ and passes through the given point $(a,b)$.

Find the gradient of  $ \displaystyle ax^b+\frac{c}{x^{d}}+f$ at $x=n$

Calculating gradients

Looking at gradients and values for x and y for straight-line graphs

Given one point and the gradient determine the equation of the line.

Calculating gradients

Identifying the gradient from a straight-line graph equation y=mx+c

Calculating gradients

Find the equation of a straight line which has a given slope or gradient $m$ and passes through the given point $(a,b)$.

There is a video in Show steps which goes through a similar example.

Identifying y=mx+b given two points

No description given

Given one point and the gradient determine the equation of the line.

Find the equation of a straight line which has a given gradient $m$ and passes through the given point $(a,b)$.

Tests the ability to find the gradient and intercept of a straight line graph.

A quartic is given and the student is asked whether the gradient is positive or negative at various values of x.