An applied example of the use of two points on a graph to develop a straight line function, then use the t estimate and predict. MCQ's are also used to develop student understanding of the uses of gradient and intercepts as well as the limitations of prediction.

Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

Drag points on a graph to the given Cartesian coordinates. There are points in each of the four quadrants and on each axis.

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

Customised for the Numbas demo exam

Motion under gravity. Object is projected vertically with initial velocity $V\;m/s$. Find time to maximum height and the maximum height. Now includes an interactive plot.

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$I$ compact interval, $g:I\rightarrow I,\;g(x)=ax^3+bx^2+cx+d$. Find stationary points, local and global maxima and minima of $g$ on $I$

This shows how to define a question variable whose value is a variable name with a few annotations added, so it's more convenient to use.

The question variable 'x' is defined to be the variable name vec:underline:x.

The student is given a value of $\cos(\theta)$ and has to find $\theta$.

Shows how to use subexpressions to represent randomly-chosen fractions of $\pi$ and surds, and have them displayed nicely.

Shows how to create a simplified JME subexpression, and substitute it into a string variable.

To prevent students from giving a trivial answer for a part which is used later in adaptive marking, you can consider it as invalid.

Part a of this question has a custom marking algorithm which marks an answer of zero as invalid. Any other answer is used in adaptive marking for part b.

Use the bareMatrices display flag to render a matrix without wrapping it in parentheses.

This question uses a "formatted text template" variable to define a long passage of text which is shown to the student after they submit a part. A custom marking algorithm adds the text as a comment after the standard marking algorithm has finished.

The gap-fill part in this question is only marked correct if both gaps are correct.

The feedback from the individual gaps is not shown.

A custom marking algorithm for a JME part estabishes whether the student's answer is equivalent to the expected answer, up to an arbitrary constant factor.

Partial differentiation question with customised feedback to catch some common errors.

Partial differentiation question with customised feedback to catch some common errors.

Partial differentiation question with customised feedback to catch some common errors.

Partial differentiation question with customised feedback to catch some common errors.

Differentiation questions (mostly partial differentiation) with customised feedback, with the intention of catching common errors.

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