G-CO.1.5

Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.

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Formative Assessments
Formative Assessments
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Students are asked to describe the transformations that take one triangle onto another.
Indicate the Transformations
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Students are asked to rotate a quadrilateral around a given point.
Rotation of a Quadrilateral
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Students are asked to describe the transformations that take one triangle onto another.
Two Triangles
Virtual/Hands-on Manipulatives
Virtual/Hands-on Manipulatives
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In this manipulative activity, you can first get an idea of what each of the rigid transformations look like, and then get to experiment with combinations of transformations in order to map a pre-image to its image.
Combining Transformations
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Assessment Questions
Assessment Questions
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FSA Sample Question
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FSA Sample Question
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Videos of Expert Instruction
Videos of Expert Instruction
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Transform your understanding of 3D modeling when you learn about how shapes are manipulated to arrive at a final 3D printed form!
Reflections, Rotations, and Translations with Additive Printing
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A discussion of the applications of Knot Theory, replication of DNA, enzymes, and fluid dynamics.
The Geometry of DNA Replication
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Where will each shot hit the cushion - A, B, or C?
Pool Bounce
Math Literature
Math Literature
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Students begin by using the context of skytyping to create a message and translate it into a set of coordinates.
How Do Skytypers Write Messages?
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This lesson provides a real-life context for transformations including rotations, reflections, and translations which are the foundation for how the Common Core State Standards require students to understand congruence and similarity. Rather than begin the lesson by defining the terms and identifying them in the game, the goal is to let students initially describe the movements in their own words and then guide them towards a mathematically precise definition.
How Did They Make Ms. Pac-Man?
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This task is a reasonably straight-forward application of rigid motion geometry, with emphasis on ruler and straightedge constructions, and would be suitable for assessment purposes.
Reflected Triangles