Recognising that $(x-a)^2+(y-b)^2=r^2$ is a circle of radius $r$ with centre $(a,b)$ 

Completing the square twice to determine the radius and centre of a circle.

Find the $x$ and $y$ intercepts of a circle.

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Identifying y=mx+b given two points

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

Given the graph of the line determine the equation of the line.

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Identifying gradient and $y$-intercept from $y=mx+b$.

A calculator to convert between Roman coin denominations: you specify how many of a denomination you've got, and what denomination you want to convert to, and it shows you the

This question aims at getting the students to demonstrate their ability to apply the Euclidean algorithm to find the GCD between two numbers.

We provide two randomly generated numbers and ask the students to enter the steps of the Euclidean algorithm, as well as the GCD between the numbers.

Friction

Gentle intro to modular arithmetic through quotients and remainders

Convert from degrees to radians

Convert from radians to degrees

Graphing $y=ab^{\pm x+d}+c$

Graphing $y=ab^x+c$

Graphing exponentials with a base between 0 and 1 and no transformations take place.

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.

More work on differentiation with trigonometric functions

More work on differentiation with trigonometric functions

More work on differentiation with trigonometric functions

Here you need to choose which formula you would use to find the red dashed value from the solid green values.  The view is three-dimensional and you can rotate it to get a better view.

Variable defintions in the formulas:
$\theta$ is an angle
Adj. is the length of the side adjacent to the known angle
Opp. is the length of the side opposite the known angle
Hyp. is the length of the hypotenuse


Your goal is to get twenty correct answers quickly. Incorrect answers show a highlight of the correct answer to select to continue.  The timer starts as soon as you choose your first answer and continues until you get 20 correct.  Select save answer after your results show in the applet.

Here you need to choose which trigonometric function is the red dashed side divided by the solid green side. Your goal is to get twenty correct answers quickly. Incorrect answers show a highlight of the correct answer to select to continue.  The timer starts as soon as you choose your first answer and continues until you get 20 correct.  Select save answer after your results show in the applet.

Here you need to choose the side of a right triangle relative to the indicated angle shown in green. Your goal is to get twenty correct answers quickly. Incorrect answers show a highlight of the correct answer to select to continue.  The timer starts as soon as you choose your first answer and continues until you get 20 correct.  Select save answer after your results show in the applet.jSpqP5QT

Here you need to choose which trigonometric function is the red dashed side divided by the solid green side. Your goal is to get twenty correct answers quickly. Incorrect answers show a highlight of the correct answer to select to continue.  The timer starts as soon as you choose your first answer and continues until you get 20 correct.  Select save answer after your results show in the applet.

Identifying some of the basic properties (intercepts, asymptotes, quadrants) of a rational function (quadratic over linear)

Identifying some of the basic properties (intercepts, asymptotes, quadrants) of a right hyperbola except this time the equation will be written like y=(ax+b)/(cx+d)

Identifying some of the basic properties (intercepts, asymptotes, quadrants) of a right hyperbola.

The easiest type of exponential to graph where the base is greater than 1 and no transformations take place.