8.MATH.10.C

Explain the effect of translations, reflections over the x-or y-axis, and rotations limited to 90°, 180°, 270°, and 360° as applied to two-dimensional shapes on a coordinate plane using an algebraic representation.

Grade 8 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
effecttranslationsreflectionsx-axisy-axisrotations90°180°270°360°two-dimensional shapescoordinate planealgebraic representation
Skills
  • explain (the effect of specific transformations) #dok3
  • use (algebraic representations to model transformations) #dok2
  • apply (translations, reflections, and rotations to two-dimensional shapes) #dok2
  • differentiate (between types of transformations by their effects) #dok2
Learning Targets
  • I can recognize translations, reflections, and rotations of two-dimensional shapes. #dok1
  • I can identify transformations on a coordinate plane. #dok1
  • I can use algebraic notation to describe translations, reflections, and rotations. #dok2
  • I can apply translations, reflections, and rotations to shapes on a coordinate grid. #dok2
  • I can explain how translations, reflections, and rotations affect two-dimensional figures using an algebraic representation. #dok3
  • I can justify how the position and orientation of a shape change under specific transformations. #dok3
Big Ideas
  • Algebraic representations can be used to precisely describe how geometric transformations affect figures on the coordinate plane.
  • Understanding the effects of transformations helps in analyzing and predicting the properties of geometric figures after movement.
Essential Questions
  • How does each type of transformation—translation, reflection, and rotation—change the position or orientation of a shape on the coordinate plane?
  • In what ways can algebraic representations be used to communicate geometric transformations?
  • What are the distinguishing characteristics of translations, reflections, and rotations on two-dimensional figures?
  • How do transformations affect the coordinates of points on a figure?
  • Why is it important to represent geometric transformations algebraically?