G.2D.1.9 Use numeric, graphic and algebraic representations of transformations in two dimensions, such as reflections, translations, dilations, and rotations about the origin by multiples of 90 ĚŠ, to solve problems involving figures on a coordinate plane and identify types of symmetry.
In a Nutshell
Both rigid and nonrigid transformations will be presented in this unit. Students will explore reflections, translations, rotations and dilations.
Student Actions
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Teacher Actions
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Teachers will use and connect mathematical representations by showing a variety of examples of notation that can be used in transformation.
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Teachers will pose purposeful questions that require students to explain their reasoning or thought process when solving tasks dealing with transformations.
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Teachers will implement a variety of tasks that allow students to see and use all the types of transformations.
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Key Understandings
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Misconceptions
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Students understand how the different types of transformations of a figure in the plane will result in a congruent or similar figure.
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Students understand how some transformations can be accomplished by combinations of other types of transformations.
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Students, when using rotations, confuse whether to go clockwise or counterclockwise
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Students, when using translations, confuse the horizontal and vertical movement with which goes with the x-value and the y-value.
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Students, when using dilations, do not realize that reductions have a fractional factor.
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OKMath Framework Introduction
Geometry Grade Introduction
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