Use a clock face to develop angles representing standard position angles. The interactive allows pupils to create angles using the hands of a clock. Scholars discover that there is a difference in the angle formed using a clock face and...

Take a terminal side for a spin. Pupils use an interactive to investigate angles of rotation that share the same terminal side. Scholars create coterminal angles and calculate what other angle sizes share the same final position.

Spin through the trigonometric functions. Scholars determine the angle of rotation a snowboarding snowman makes at various distances in his jump. The class members then calculate the values of trigonometric functions for those angles.

Measure angles in more than one way. The interactive introduces the concept of measuring angles from 0 to 360 degrees. Scholars explore the relationships between the angle and reference angles along with coterminal angles.

When is the trigonometric value of a negative angle the same as the positive angle? Pupils compare the values of trigonometric functions for different angles and their negatives. The interactive resource provides a visual display to make...

Go around the unit circle and create triangles. Pupils move a point around the unit circles to visualize the triangle associated with the angle in standard position. The three main trigonometric functions are defined in terms of the legs...

Transform proofs using triangle rotations. By rotating a triangle around various points, class members develop proofs. Participants prove relationships of alternative interior angles formed by parallel lines and the sum of the interior...

Pupils use an interactive clock to set specific times. They apply math to an everyday task as they determine the measure of the angle formed by the hands in degrees and in radians. 

Use this during the season of teaching about the seasons! As Earth revolves around the sun, its tilt causes the weather to change. The graphics in this presentation show how Earth's position in space has an effect on the angle of...

Who needs a plan — let trigonometry protect you! Pupils determine the angle of an approaching enemy to a village wall. The scholars determine the exact value of trigonometric functions for the angle. Class members use trigonometry to...

Predict an equation that waves up and down. Pupils set the height, radius, and period of a Ferris wheel. The learners write a sine equation to match the graph of the height of a point on the wheel as a function of time. Running the...

The universe is full of sources of energy. Explore the energy of pulsars with your classes through a simulation. An interactive lesson allows learners to manipulate the angle of rotation of both the earth and the pulsars. A real-time...

How are arc lengths and radians related? An interactive resource demonstrates the relationship as pupils create arc lengths in a unit circle and compare them to the angle measurements. Questions ask individuals to build upon this...

Introducing ... the Transmographer. Young mathematicians investigate translations, reflections, and rotations. The applet lets users perform transformations on triangles, squares, and parallelograms.

Why do many tightrope walkers use a balancing pole? The simulation explores the benefits of balancing poles and the features that are most important. Pupils control the pole length, pole mass, pole stiffness, and the initial angle of...

If lines aren't parallel or perpendicular, then what are they? An interactive lets users rotate a line to change its orientation with respect to another line. It then indicates whether the lines are parallel, perpendicular, or...

Take a ride on a Ferris wheel. Using sliders to adjust the parameters of a Ferris wheel, pupils investigate the height of a point over time. The interactive traces out the curve on a time-height graph. Learners use what they learned to...

In molecules, bonds rotate about the nucleus due to the repulsion of subatomic particles. In a simulation, learners manipulate the bonds of a molecule to meet the atoms' needs. They can then see the specific molecular shapes of five...

How do the hydrophobic and hydrophilic regions of a protein affect its shape? Science scholars explore the molecular properties of protein molecules using a detailed interactive. The resource allows the user to rotate the protein, view...

What is the steepness of a hill before a unicyclist slides down it rather than pedaling down it? The simulation graphs the wheel speed versus the unicycle speed as the rider goes down a hill. Scholars control the mass of the rider,...

This interactive exercise looks at angles of rotation and rotational symmetry of a variety of figures.

Join the ladybug in an exploration of rotational motion. Rotate the merry-go-round to change its angle, or choose a constant angular velocity or angular acceleration. Explore how circular motion relates to the bug's x,y position,...

Visually inspect virtual molecules and their reactions to changes in energy levels and vibrations. Choose from 24 different molecules and adjust viewing angle, pace of simulation, and more. Create a presentation of your explorations as...