7adv.MATH.12.B
Differentiate between transformations that preserve congruence and those that do not.
Grade 7 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
transformationscongruencerotationsreflectionstranslationsdilations
Skills
- differentiate (transformations that preserve congruence and those that do not) #dok2
- identify (types of transformations: rotations, reflections, translations, dilations) #dok1
- explain (why certain transformations preserve or do not preserve congruence) #dok3
Learning Targets
- I can identify different types of transformations such as rotations, reflections, translations, and dilations. #dok1
- I can distinguish between transformations that preserve congruence and those that do not. #dok2
- I can explain why a transformation does or does not preserve congruence using mathematical language. #dok3
Big Ideas
- Some geometric transformations preserve the size and shape (congruence) of figures, while others do not.
- Understanding which transformations preserve congruence is foundational for exploring symmetry and similarity in geometry.
Essential Questions
- What does it mean for a transformation to preserve congruence?
- Which transformations always keep figures congruent, and which do not?
- How can you tell if a transformation preserves the size and shape of a figure?
- Why are some transformations classified as congruence-preserving while others are not?
- How does understanding congruence help you analyze geometric patterns and relationships?