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.
Texas Instruments
Texas Instruments: Transformations, Rotations, Dilations 1
This StudyCards stack tests students' understanding of translation, transformation, symmetry, dilation, and rotation of a point to form images. Teachers require TI StudyCards Creator Software and students will need the StudyCardApp on...
Purple Math
Purplemath: Symmetry About an Axis
Explains symmetry about a line, using animations to illustrate the "rotation" or "reflection" involved in this type of symmetry.
Khan Academy
Khan Academy: Practice: Rotate Points
In this exercise, students practice performing rotations on a coodinate plane. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions repeatedly.
Khan Academy
Khan Academy: Practice: Rotate Points
In this set of questions, students use an interactive tool to rotate objects on a Cartesian grid. Help is available through hints and videos.
Read Works
Read Works: Article a Day Set: Time
[Free Registration/Login Required] This Article-A-Day-Set provides six articles related to "time." Students will learn about the days of the week and months of the year.
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...
Illustrative Mathematics
Illustrative Mathematics: G Co Seven Circles Ii
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...
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 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,...
Illustrative Mathematics
Illustrative Mathematics: G Co Defining Rotations
The goal of this task is to encourage students to be precise in their use of language when making mathematical definitions. After working on this problem, they are asked to give a proper definition of a rotation by an angle about a...
Illustrative Mathematics
Illustrative Mathematics: 8.g Triangle Congruence With Coordinates
For this task, 8th graders explore congruence and transformations of two triangles on a coordinate grid. Aligns with 8.G.A.2.
Illustrative Mathematics
Illustrative Mathematics: 8.g Congruent Triangles
In this task, 8th graders investigate congruence and transformations of two triangles on a coordinate grid. Includes a GeoGebra worksheet that the teacher can use for demonstration purposes. Aligns with 8.G.A.2.
Illustrative Mathematics
Illustrative Mathematics: G Co Symmetries of a Quadrilateral I
Suppose ABCD is a quadrilateral for which there is exactly one rotation, through an angle larger than 0 degrees and less than 360 degrees, which maps it to itself. Further, no reflections map ABCD to itself. What shape is ABCD? Aligns...
Illustrative Mathematics
Illustrative Mathematics: G Co Symmetries of Rectangles
This task examines the rigid motions which map a rectangle onto itself. The emphasis here is on careful reasoning using the definitions of reflections and rotations. Aligns with G-CO.A.3.
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...
University of Georgia
University of Georgia: Inter Math: Transformation
This site defines transformation and lists several different examples of transformations. Be sure to follow the links to related terms, everyday examples, challenging problems, more information, and the interactive check point involving...
University of Georgia
University of Georgia: Inter Math: Angle of Rotation
This site gives a definition of angle of rotation and provides some examples. There is also an interactive activity in which a JavaSketchPad page is provided for you to explore rotations. In addition, be sure to follow the links to...
Math Planet
Math Planet: Geometry: Common Types of Transformation
Provides an explanation, examples, and a video lesson all related to the four common types of transformation. [1:00]
CK-12 Foundation
Ck 12: Geometry: Types of Transformations Study Guide
[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...
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: Composition of Transformations
[Free Registration/Login may be required to access all resource tools.] In this lesson students explore composite transformations. Students examine guided notes, review guided practice, watch instructional videos and attempt practice...
CK-12 Foundation
Ck 12: Geometry: Rotation Symmetry
[Free Registration/Login may be required to access all resource tools.] Find a figure's angle of rotation.
CK-12 Foundation
Ck 12: Geometry: Composition of Transformations
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to compose transformations and how to represent the composition of transformations as a rule. Students examine guided notes, review...