Illustrative Mathematics
Illustrative Mathematics: F Tf, G Co, Trigonometric Identities and Rigid Motions
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...
Other
Nearpod: Transformations on Coordinate Planes
In this lesson on transformations on coordinate planes, 8th graders explore dilation, translation, reflection, and rotation of shapes within a coordinate plane.
Other
Nearpod: Introduction to Geometric Transformations
In this lesson, students will learn how to describe and identify reflections, rotations, translations, and dilations.
Shodor Education Foundation
Shodor Interactivate: Transmographer
Shodor Education Foundation provides an applet that "allows the user to explore the world of transformations, reflections, and rotations. It allows the user to translate triangles, squares, and parallelograms on both the x and y-axes."
Annenberg Foundation
Annenberg Learner: Learning Math: Symmetry
This presentation provides a tutorial on symmetry. In the tutorial, you will do the following: learn about geometric symmetry, explore line or reflection symmetry, explore rotation symmetry, and explore translation symmetry and frieze...
Texas Instruments
Texas Instruments: Traveling Shapes Motion Geometry
In this activity, students describe how to move a shape from one place to another in a plane. They learn about translations, rotations, and line reflections. [Requires Adobe Reader.]
Mathigon
Mathigon: Geometry: Symmetry Groups and Wallpapers
This lesson focuses on wallpaper groups. While there are infinitely many possible patterns, they all have one of just 17 different symmetry groups. These are called the Wallpaper Groups. Every wallpaper group is defined by a combination...
Mathigon
Mathigon: Geometry: Rigid Transformations
This lesson focuses on rigid transformations, a specific set of rules that convert one geometric figure into another one. There are many different types of transformations, like reflections or rotations. It provides several practice...
Shodor Education Foundation
Shodor Interactivate: Transmographer 2
Build your own polygon and transform it in the Cartesian coordinate system. Experiment with reflections across any line, rotations about any point, and translations in any direction.
Mangahigh
Mangahigh: Transtar: Reflections, Rotations, Dilations and Translations
For this geometry game, students must guide Transtar, an alien spaceship, across space by applying transformations to it. At the same time, there are dangers to avoid and the number of moves and tries are limited.
Math Open Reference
Math Open Reference: Plane Geometry: Transformations
Explore transformations of a polygon that include: 1) translation 2) rotation 3) reflection and 4) dilation.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Transformations of Graphs
Find a quick, concise explanation of the transformations of graphs: translations, reflections and rotations. Examples are given and clearly explained for each transformation.
Texas Education Agency
Texas Gateway: Making Conjectures About Congruence Transformations
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...
Other
Derivation and Classification of Groups
This gives examples of classification of the differences between rotation and translation.
Khan Academy
Khan Academy: Finish Your Scene!
This activity focuses on finishing the scene by arranging items with rotation. The items that just require translation and scaling are already in place. Now you can add items that also require rotation.
Shodor Education Foundation
Shodor Interactivate: Transformations
This lesson shows elementary students how they can know that rigid motions like reflections, rotations, and translations create a shape congruent to the original.
University of Georgia
University of Georgia: Transformations: Revisiting Congruence
This site presents information on the three basic transformations of figures in a plane: Reflections, Rotations, and Translations.
Texas Instruments
Texas Instruments: Geoboard App
Students use the Geoboard App to measure arcs, line segments, area, and perimeter, as well as rotate, reflect, and translate objects.
Illustrative Mathematics
Illustrative Mathematics: G Co Fixed Points of Rigid Motions
A rigid motion of the plane is a map of the plane to itself which preserves distances between points. The purpose of this task is to use fixed points as a tool for studying and classifying rigid motions of the plane, i.e., translations,...
Purple Math
Purplemath: Function Transformations
Generally, translation involves only moving the graph around. Squeezing or stretching a graph is more of a "transformation" of the graph. But these two topics are usually taught at the same time, and usually under the same name. Just be...
E-learning for Kids
E Learning for Kids: Math: Living in the Mill: 2 D Shapes
Students can use this interactive site to practice various geometric concepts such as rotations, reflections, translations, tesselations and geometric patterns.
CK-12 Foundation
Ck 12: Physics Simulation: Preschool Races
[Free Registration/Login Required] Learn about the relationship between rotational and translational kinetic energy, and how each are exchanged when objects roll down inclined ramps using this interactive simulation. A PDF worksheet and...
Other
P.u.e.m.a.c.: Galeria De Transformaciones
Enjoy constructions created by rotations, reflections and translations. [Requires Java.]
McGraw Hill
Glencoe Mathematics: Online Study Tools: Self Check Quiz on Transformations
Students show comprehension of advanced mathematics skills in Geometry. The questions check understanding on transformational geometry. Topics include translations, symmetry, and rotations.