Mathematical Demonstrations

Display the current time in both analogue and digital formats, or take control by dragging the clock hands to show a specific time.

Extend the learning beyond time-telling. Use the clock face to demonstrate angles, visualize fractions, and represent percentages in a clear, interactive way.

Practice estimating and classifying angles, including acute, obtuse and reflex. Explore problems involving angles in a right-angle (90°), on a straight line (180°), and at intersecting lines.

Drag the handles or use the random button to create a problem. Toggle the protractor to measure manually.

Explore fundamental angle rules, including complementary (90°), angles on a straight line (180°), angles at a point (360°), and vertically opposite angles.

Drag the interactive markers to see the relationships in real-time, or generate random problems and click the unknown letters to reveal their values and test your understanding.

This activity can be used to explore equivalence between fractions, decimals, and percentages.

Fractions are represented by layers of bricks which can be turned on or off. It is easy to show why, for example, one half is equal to two-quarters or four-eighths.

Create and manipulate various polygons by dragging their vertices.

Explore interior and exterior angles and watch them update in real-time as you reshape the polygon. You can also lock the vertices to a circle to investigate the properties of cyclic polygons.

Explore the relationship between a circle's circumference and its diameter. Drag the interactive handle to resize the circle and watch the corresponding values for the diameter and circumference update in real-time.

Use the slider to unroll the circumference into a straight line, visually demonstrating that it is always ~3.14 times longer than the diameter, and thus discovering the constant Pi (π).

Explore the area of a rectangle by dragging its corners to change its base and height. Toggle a grid of unit squares to visually count the area and prove the formula: Area = base × height.

Reveal the calculation step-by-step to see how the formula is applied. You can also generate a random rectangle to test your understanding.

Explore the area of a parallelogram to help discover that the area is the same as a rectangle with an equal base and height. Drag the vertices to manipulate the shape.

Rotate △ parts of the parallelogram to transform into a rectangle, visually proving Area = base × height. Generate random problems to find the base, height or area.

Explore how a triangle's area is exactly half that of a rectangle. Animate the triangle's two halves rotate to perfectly fill the remaining space, visually proving the formula: Area = ½ × base × height

Generate random problems and solve for the missing area, base, or height.

Explore the area of a trapezium to help discover that the area is the same as a rectangle with equal height and a width equal to the mean of the parallel sides. Drag the vertices to manipulate the shape.

Rotate and rearrange parts of the trapezium to transform into a rectangle, visually proving Area = ½(a + b) × height. Generate random problems to find the parallel sides, height or area.

Learning the times tables is extremely important. This activity can quickly demonstrate any tables value.

The visual representation allows children to grasp very quickly that multiplication is commutative, i.e., 3x4 is the same as 4x3.

The classroom timer is a general-purpose countdown timer for lessons. It can be used as an effective way to get a class to focus on the task at hand.

It has two modes: the 'seconds mode' for very quick tasks of less than 60 seconds, and the 'minutes mode' for longer activities of up to an hour.

The fractal explorer shows how a very simple pattern, when repeated, can produce an incredible range of images, from organic tree-like structures to rigid geometric forms.

Fun to use and involves lots of mathematical concepts.

This clock activity is great for teaching about time problems. The first clock shows the start time, while the second clock shows the end time. 

The duration between the times can be automatically calculated. Either clock or the duration can be hidden.

Divide a square or circle into a number of parts.

The slices or rectangles can be painted various colors, and these colors then represented as either decimals, fractions, or percentages.

The spinners can be used simply to generate random numbers. Or try the built-in activities. The first game requires children to use their skills to reach a target number by adding, subtracting, or multiplying the spinner values.

More advanced activities require calculation and/or algebraic substitution using the spinner values.

Named after the Greek Mathematician, this classic method of finding prime numbers is also great for teaching about factors and multiples.

The Visnos sieve allows for multi-colored squares, which helps in the identification of any number's prime factors.

Teaches addition and subtraction facts up to twenty using animated penguins.

The penguins jump between two icebergs to show addition facts for the given total. For subtraction facts, the penguins dive off the iceberg into the water below.

A number line represents the number facts.

A spinner creates a random number. The class then has one minute to multiply the value by percentages, fractions, or decimal values.

Makes a great lesson starter to get brains active. Also provides discussion for various ways of getting the answers.

Visually divide numbers and display the calculation to show the remainder, fraction, or decimal value.

Test if a number is triangular or square. Run automated tests for divisibility, factor pairs, or prime factors.