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Illustrative Mathematics
Illustrative Mathematics: 8.g Triangle Congruence With Coordinates
In this task, 8th graders explore congruence and transformations of two triangles on a coordinate grid. Aligns with 8.G.A.2.
National Council of Teachers of Mathematics
The Math Forum: Analytic Geometry: Polar Coordinates
This site from The Math Forum provides great information on polar coordinates. You can access this information either by clicking on the coordinates link or just scrolling down, it is the first one listed on the page. Includes several...
University of Waterloo (Canada)
University of Waterloo: Cemc: Geometry and Spatial Sense: Transformations [Pdf]
Accompanied by links to online activities and demonstrations, middle schoolers learn about the different types of transformations on a coordinate grid through this lesson plan. The lesson is designed to match the Grade 7 Ontario...
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: Rotate Shapes: Center Does Not Equal (0,0)
Given a figure on the coordinate plane and the definition of a rotation about an arbitrary point, manually draw the image of that rotation.
Khan Academy
Khan Academy: Rotate Shapes
Given a figure on the coordinate plane and the definition of a rotation about the origin, manually draw the image of that rotation.
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.
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.
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...
Alabama Learning Exchange
Alex: Determine the Vertices of Transformed Images
This hands-on lesson uses exploration and discovery to help students determine the coordinates of the vertices of various figures when translated, rotated, or reflected in a coordinate plane. The exploration phase will access students'...
University of Illinois
University of Illinois Urbana Champaign: Chickscope Eggmath: The Shape of an Egg
An interactive page offering a view of a rotating egg, information on rotational symmetry, and definitions of related topics.
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...