[Free Registration/Login may be required to access all resource tools.] Recognize transformations as the movement of a figure in a plane

The purpose of this task is to apply translations and reflections to the graphs of the functions f(x)=cos x and g(x)=sin x in order to derive some trigonometric identities. There are also rotations 180 degrees about points on the x-axis...

Kids who are able to think about a problem in a new way engage in flexible thinking, while kids who get stuck in their ways tend to engage in rigid thinking. Flexible thinking skills can be practiced at home and at school. Try a few of...

[Free Registration/Login may be required to access all resource tools.] In this online lesson students will begin to understand what is meant by a rigid body. Learn what torque is and how to use it in solving problems.

Given a description of the effect of a transformation, determine which rigid transformation it is. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

This task has students link their intuitive notions of symmetries of a triangle with statements proving that said triangle is unmoved by applying certain rigid transformations. The mechanism through which students do this is via...

Incorporating concepts in algebra, number sense, patterning, data collection, and geometry, this lesson engages learners in various hands-on activities to explore the relationship between regular polygons and the number of diagonals...

In this task, seven pennies are placed in a circle so that they are all touching one in the center and their neighbors. Students are asked to find as many rigid motions of the plane as they can which are symmetries of this configuration...

A collection of video lectures from a course introducing students to the mechanics of solids. Webpage includes forty-one lectures from a professor at the National Programme on Technology Enhanced Learning. Lectures vary in length and...

Virtual laboratory provides five hands-on experiments at rigid pendula.

Given a description of the effect of a transformation, determine which rigid transformation it is.

Background image of normal disc-shaped red blood cells from the University of Utah. Inset shows sickled red blood cells, curved and rigid, from the Virginia Medical College.

Experiment with a helium balloon, a hot air balloon, or a rigid sphere filled with different gases. Discover what makes some balloons float and others sink.

Given geometric figures on the coordinate plane, the student will apply the definition of congruence, in terms of rigid transformations, to identify congruent figures. The student will also identify and distinguish between reflectional...

This lesson shows elementary students how they can know that rigid motions like reflections, rotations, and translations create a shape congruent to the original.

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 lots of mathematical concepts involved.

Given a pair of figures in the coordinate plane, try to map one onto the other and determine whether they are congruent. Includes examples of glide reflections. Students receive immediate feedback and have the opportunity to try...

This MathWorld tutorial provides detailed overviews of the concepts and theorems associated with geometry. Most of the Math World sites are extensive and some require higher math knowledge to understand, links to terms and topics are...

This is a general Physics course from simple concepts such as the rectilinear movement to more complex as the energy bands of solids. Interactivity is achieved by the 646 applets embedded in web pages that are simulations of physical...

[Free Registration/Login may be required to access all resource tools.] In this online lesson young scholars will learn about Torque and how to calculate Torque in various situations.

This is a website not only on the mantle but also about all the layers of the earth.

Resources to supplement classroom instruction of transformations and reflection. Lesson pages offer definitions and examples of composition of transformations and glide reflections. A practice page has a nine-question quiz. There are...

[Free Registration/Login may be required to access all resource tools.] Transformations move and modify geometric shapes. There are several types of transformations that all transform figures in different ways. These transformations can...

In this activity, students will investigate the relationship among the three types of rigid transformations - translations, rotations, and reflections.