CK-12 Foundation
Ck 12: Defining Rotations
[Free Registration/Login may be required to access all resource tools.] In this tutorial, students learn about the rules that operate in the rotation of 2-D figures on a coordinate grid. Includes video, lots of examples, review...
Khan Academy
Khan Academy: Determine Reflections (Advanced)
Given two figures on the coordinate plane, find the formal definition of the reflection that takes one figure to another. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive...
Khan Academy
Khan Academy: Determine Rotations
Given a figure on the coordinate plane and a center of a rotation, find the angle for the rotation that maps one figure to the other. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...
Khan Academy
Khan Academy: Translate Shapes
Given a figure and a definition of a translation, draw the image. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Advanced Reflections
Find the reflection that maps a given figure to another and draw the image of a reflection. The lines of reflection in this exercise have a wide range of slopes. Students receive immediate feedback and have the opportunity to try...
Khan Academy
Khan Academy: Rotate Shapes: Center Not (0,0)
Given a figure on the coordinate plane and the definition of a rotation about an arbitrary point, draw the image of that rotation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video,...
Khan Academy
Khan Academy: Rotate Shapes
Given a figure on the coordinate plane and the definition of a rotation about the origin, draw the image of that rotation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or...
Khan Academy
Khan Academy: Reflect Shapes
Given a figure and a definition of a reflection, draw the image. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Texas Instruments
Texas Instruments: Rotations in the Plane
In this activity, students will explore the properties of rotations and the relationships between the original and image figures.
Texas Instruments
Texas Instruments: Rotations in the Plane Cabri Jr: Interactive
In this activity, you will explore the invariant properties of rotations and the results of rotations in the coordinate plane.
Texas Instruments
Texas Instruments: Connecting Translations, Reflection, and Rotations
In this activity, students will investigate the relationship among the three types of rigid transformations - translations, rotations, and reflections.
Khan Academy
Khan Academy: Sequences of Transformations
Given a description of a sequence of transformations, determine whether it preserves segment length or angle measure. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
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...
Illustrative Mathematics
Illustrative Mathematics: G Co Showing a Triangle Congruence: The General Case
Given distinct, congruent triangles, students are asked to show that congruence can always be shown with one, two, or three rigid motions. Aligns with G-CO.A.5.
Illustrative Mathematics
Illustrative Mathematics: G Co Showing a Triangle Congruence: A Particular Case
Given two congruent triangles, students are asked to analyze the effects of different transformations. Aligns with G-CO.A.5.
Illustrative Mathematics
Illustrative Mathematics: G Co Reflected Triangles
In this task, students must use a straightedge and compass to construct the line across which one triangle was reflected onto another. Aligns with G-CO.A.5 and G-CO.D.12.
CK-12 Foundation
Ck 12: Geometry: Rotations
[Free Registration/Login may be required to access all resource tools.] This concept introduces geometric rotations.
CK-12 Foundation
Ck 12: Geometry: Geometric Translations
[Free Registration/Login may be required to access all resource tools.] In this lesson, students learn how to translate a figure. They examine guided notes, review examples, watch instructional videos, and try practice problems.