MathMUDtician

These exercises are compositions of rigid motions. All transformations are presented in function notation per common core standards. There are 3 pairs of commuted compositions. The students will be able to see that compositions of transformations are not commutative - order matters. The reflections are all presented in slope-intercept form.

This activity guides students to discover the angle pair properties when a transversal crosses a pair of parallel lines through the use of rigid motions as per common core standards. The activity requires the students to already be familiar with the terms corresponding angles, alternate interior angles, alternate exterior angles, and same-side interior angles. It also requires the students to know how to perform basic rigid motions (transformations).

This activity will give the students the ability to understand where the unit circle comes from. With this knowledge, they will not need to memorize the coordinates around the unit circle; they can just draw an appropriate triangle and evaluate their trig.

This is a group activity in which the students will practice how to rotate points and figures in the coordinate plane. They will rotate about the origin, as well as other centers of rotation. The activity uses function notation for rotations as outlined by the common core standards for Geometry.

This is an individual exercise that helps the students practice translating a figure, as well as combining translations. It includes the student version and the answer key. The translations are described using function notation as outlined by the common core standards for Geometry.