7adv.MATH.12.A

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

Grade 7 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
properties of orientationcongruencerotationsreflectionstranslationsdilationstwo-dimensional shapescoordinate plane
Skills
  • generalize (properties of orientation of two-dimensional shapes under rotation, reflection, translation, and dilation on a coordinate plane) #dok3
  • generalize (congruence resulting from transformations on two-dimensional shapes on a coordinate plane) #dok3
  • identify (types of transformations applied to two-dimensional shapes on a coordinate plane) #dok1
Learning Targets
  • I can identify different types of transformations applied to two-dimensional shapes on a coordinate plane. #dok1
  • I can describe the properties of orientation and congruence after applying transformations to two-dimensional shapes. #dok2
  • I can generalize how rotations, reflections, translations, and dilations affect the orientation and congruence of two-dimensional shapes on a coordinate plane. #dok3
Big Ideas
  • Transformations on a coordinate plane can change the orientation and size of shapes, but some transformations preserve congruence or orientation while others do not.
  • A deep understanding of how each transformation affects a shape's orientation and congruence allows us to predict and analyze the results of multiple transformations.
Essential Questions
  • How do different transformations change the orientation of a two-dimensional shape on a coordinate plane?
  • Which transformations preserve congruence of shapes, and which do not?
  • In what ways do dilations differ from rotations, reflections, and translations in their effects on size and congruence?
  • How can understanding the properties of transformations help in analyzing geometric figures or solving problems involving coordinate geometry?
  • What real-world applications depend on understanding the effects of geometric transformations?