8.MATH.10.A

Generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane.

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

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Vocabulary
propertiesorientationcongruencerotationsreflectionstranslationsdilationstwo-dimensional shapescoordinate plane
Skills
  • generalize (properties of transformations) #dok3
  • analyze (orientation and congruence in transformations) #dok2
  • identify (types of transformations: rotations, reflections, translations, dilations) #dok1
  • describe (how transformations affect two-dimensional shapes) #dok2
  • explore (transformations on a coordinate plane) #dok2
Learning Targets
  • I can identify the types of transformations, including rotations, reflections, translations, and dilations. #dok1
  • I can describe the effect of a transformation on a two-dimensional shape's orientation and congruence. #dok2
  • I can analyze how transformations change or preserve the properties of shapes on a coordinate plane. #dok2
  • I can generalize the properties that remain constant or change under each transformation. #dok3
Big Ideas
  • Transformations such as rotations, reflections, translations, and dilations each affect the orientation and congruence of two-dimensional shapes differently on a coordinate plane.
  • Understanding the properties of transformations helps us predict and explain how shapes change and what attributes are preserved during movement or resizing.
Essential Questions
  • How does each transformation affect the orientation and congruence of a two-dimensional shape?
  • What properties are preserved under rotations, reflections, translations, and dilations?
  • How can we generalize the patterns or rules for each type of transformation?
  • What is the difference between a shape’s orientation and its congruence after a transformation?
  • Why is it important to understand the properties of geometric transformations on the coordinate plane?