G-CO - Domain
Congruence
High School Geometry · Common Core State Standards · Common Core 2010
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
transformationsplaneanglecircleperpendicular lineparallel lineline segmentpointlinedistancerectangleparallelogramtrapezoidpolygonrotationsreflectionstranslationsgeometric figuretracing papergeometry softwaresequence
Skills
- Know (precise definitions of geometric terms) #dok1
- Represent (transformations using tools) #dok1
- Describe (transformations as functions) #dok1
- Compare (transformations that preserve distance and those that do not) #dok2
- Develop (definitions of rotations, reflections, and translations) #dok2
- Draw (transformed figures using different tools) #dok2
- Specify (a sequence of transformations that maps one figure to another) #dok3
Learning Targets
- I can know the precise definitions of angle, circle, perpendicular line, parallel line, and line segment. #dok1
- I can represent transformations in the plane using geometry software. #dok1
- I can compare transformations that preserve distance and angle to those that do not. #dok2
- I can develop definitions of rotations, reflections, and translations using angles, circles, and lines. #dok2
- I can draw a transformed figure using graph paper or tracing paper. #dok2
- I can specify a sequence of transformations that will carry a given figure onto another. #dok3
Big Ideas
- Understanding transformations in the plane is foundational for recognizing congruence.
- Defining and representing basic geometric transformations is essential for developing more complex geometric reasoning.
Essential Questions
- What are the precise definitions of basic geometric terms, and why are they important?
- How can transformations be represented effectively in a plane?
- In what ways do different transformations impact distance and angles?
- How can we determine if a series of transformations results in congruent figures?
- What are the steps for drawing and describing geometric transformations using different tools?