322 results authored by Christian Lawson-Perfect - search across all users.

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  • SageMath Cell

    Uses an extension to embed SageMath cells into content areas.

    Question Draft

    CC BY Published

    Last modified 18/10/2019 07:29

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  • MathJax v3

    This exam uses a theme which uses MathJax v3 to typeset mathematics.

    Exam (1 question) Draft

    CC BY Published

    Last modified 09/10/2019 15:35

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  • Mark the product of two matrices in a mathematical expression part

    A mathematical expression part whose answer is the product of two matrices, $X \times Y$.

    By setting the "variable value generator" option for $X$ and $Y$ to produce random matrices, we can ensure that the order of the factors in the student's answer matters: $X \times Y \neq Y \times X$.

    Question Draft

    CC BY Published

    Last modified 24/09/2019 15:27

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  • Interactive Newton-Raphson method

    by Picture of Christian Lawson-Perfect Christian Lawson-Perfect and 1 other

    Write down the Newton-Raphson formula for finding a numerical solution to the equation $e^{mx}+bx-a=0$. If $x_0=1$ find $x_1$.

    Included in the Advice of this question are:

    6 iterations of the method.

    Graph of the NR process using jsxgraph. Also user interaction allowing change of starting value and its effect on the process.

    Question Should not be used

    CC BY Published

    Last modified 15/09/2019 18:52

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  • Christian's copy of Numbas demo: motion on a slope

    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.

    Question Draft

    CC BY Published

    Last modified 09/09/2019 11:51

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  • Mark equations

    by Picture of Christian Lawson-Perfect Christian Lawson-Perfect and 2 others

    All the answers in this question are equations. In order to mark each equation, Numbas needs to pick some values that satisfy the equation and some that don't, and check that the student's answer agrees with the expected answer.

    Any equation with the same solution set as the expected answer will be marked correct.

    Question Ready to use

    CC BY Published

    Last modified 16/08/2019 12:31

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  • Ask for significand and exponent of a number in scientific notation separately

    by Picture of Christian Lawson-Perfect Christian Lawson-Perfect and 1 other

    This question shows how to ask for a number in scientific notation, by asking for the significand and exponent separately and using a custom marking algorithm in the gap-fill part to put the two pieces together.

    Answers not in standard form, i.e. with a significand not in $[1,10)$, are accepted but given partial marks.

    Question Draft

    CC BY Published

    Last modified 13/08/2019 20:21

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  • Complete the square and find solutions

    by Picture of Christian Lawson-Perfect Christian Lawson-Perfect and 1 other

    Solve a quadratic equation by completing the square. The roots are not pretty!

    Question Ready to use

    CC BY Published

    Last modified 13/08/2019 16:36

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  • Only mark a gap depending on the answer to a previous gap.

    by Picture of Christian Lawson-Perfect Christian Lawson-Perfect and 1 other

    Student is asked whether a quadratic equation can be factorised. If they say "yes", they're asked to give the factorisation.

    Question Should not be used

    CC BY Published

    Last modified 13/08/2019 11:54

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  • Pattern matching - factorise an equation

    by Picture of Christian Lawson-Perfect Christian Lawson-Perfect and 1 other

    The student is asked to factorise a quadratic $x^2 + ax + b$. A custom marking script uses pattern matching to ensure that the student's answer is of the form $(x+a)(x+b)$, $(x+a)^2$, or $x(x+a)$.

    To find the script, look in the Scripts tab of part a.

    Question Ready to use

    CC BY Published

    Last modified 13/08/2019 11:53

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