GEOM.MATH.5.A
Investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools.
Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
patternsconjecturesgeometric relationshipsanglesparallel linestransversaltriangle congruencespecial segmentstrianglesdiagonalsquadrilateralsinterior anglesexterior anglespolygonsspecial segmentsanglescirclestools
Skills
- investigate (patterns in geometric figures) #dok2
- make (conjectures about geometric relationships) #dok3
- analyze (angles formed by parallel lines cut by a transversal) #dok2
- identify (criteria required for triangle congruence) #dok1
- use (tools to explore properties of polygons and circles) #dok2
Learning Targets
- I can identify different types of patterns in geometric figures. #dok1
- I can use mathematical tools to explore and record patterns in geometric shapes. #dok2
- I can investigate angles formed by parallel lines cut by a transversal using drawings or models. #dok2
- I can identify and describe the criteria for triangle congruence. #dok1
- I can analyze the properties of diagonals of quadrilaterals. #dok2
- I can recognize relationships among special segments and angles of circles. #dok1
- I can construct and test conjectures about interior and exterior angles of polygons. #dok3
- I can use patterns to make conjectures about geometric relationships and justify my reasoning. #dok3
- I can formulate hypotheses about special segments of triangles and validate them using appropriate tools. #dok3
Big Ideas
- Geometric figures contain observable patterns that can be used to formulate and test conjectures about their properties and relationships.
- Exploration and investigation, supported by appropriate mathematical tools, deepen understanding of key geometric relationships and support logical reasoning.
Essential Questions
- How do patterns in geometric figures help us discover new relationships?
- What tools and methods can we use to investigate angles and segments in various geometric shapes?
- How can we use conjectures to validate geometric relationships in polygons and circles?
- Why is it important to identify and analyze special segments in triangles, quadrilaterals, and circles?
- What role do construction and investigation play in understanding and proving geometric properties?