Calculation of quadratic discriminants.

State nature of roots.

Calculation of quadratic discriminants.

State nature of roots.

Structured questions with instructions.

Use for coaching not assessment.

Questions asking for the factoring of simple case (a=1)

These first need to be changed to standard form.

Then use factors to solve.

Questions asking for the factoring of simple case (a=1)

Then using factors to find roots.

Questions asking for the factoring of simple case (a=1)

These first need to be changed to standard form.

Questions asking for the factoring of simple case (a=1)

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Factorise three quadratic equations of the form $x^2+bx+c$.

The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.

Some quadratics are to be solved by factorising

Apply the quadratic formula to find the roots of a given equation. The quadratic formula is given in the steps if the student requires it.

Solving quadratic equations using a formula,

Factorising basic quadratics into linear expressions

Solve for $x$: $\displaystyle ax ^ 2 + bx + c=0$.

Entering the correct roots in any order is marked as correct. However, entering one correct and the other incorrect gives feedback stating that both are incorrect.

Factorising further basic quadratics into linear expressions

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Compute a table of values for a quadratic function. A JSXgraph (the graph paper) plot shows the curve going through the entered values. The student input is now disconnected from the graph so that they slide the points usually after they input the values and the answer fields are not updated.

Horizontal and vertical shifts and scales of a random cubic spline

In this assignment, try and find the roots of a randomly generated polynomial, using the quadratic equation.

A test assignment to see if it integrates properly into Canvas.

A simple question to find the roots of a quadratic. Using to test integration of NUmbas into Canvas.

Compute a table of values for a quadratic function. A JSXgraph plot shows the curve going through the entered values.

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Differentiate $\displaystyle \cos(e^{ax}+bx^2+c)$

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline

Horizontal and vertical shifts and scales of a random cubic spline