GEOM.MATH.12.A
Apply theorems about circles, including relationships among angles, radii, chords, tangents, and secants, to solve non-contextual problems.
Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
theoremscirclesanglesradiichordstangentssecantsproblems
Skills
- apply (theorems about circles) #dok2
- identify (relationships among angles, radii, chords, tangents, and secants) #dok1
- solve (non-contextual problems involving circles and their parts) #dok2
- analyze (various circle relationships in relation to given theorems) #dok3
Learning Targets
- I can identify the parts of a circle, such as radius, chord, tangent, and secant. #dok1
- I can recall and state theorems related to circles. #dok1
- I can apply theorems about angles, radii, chords, tangents, and secants in circles to solve problems. #dok2
- I can solve problems involving relationships among angles, radii, chords, tangents, and secants in circles. #dok2
- I can justify the use of a specific theorem when solving circle problems. #dok3
- I can analyze a problem involving a circle to determine which theorem(s) apply to find the solution. #dok3
Big Ideas
- The properties and relationships among angles, radii, chords, tangents, and secants in circles can be understood and applied through the use of theorems.
- Applying circle theorems allows us to solve a wide range of geometric problems by connecting geometric concepts and reasoning.
Essential Questions
- What relationships exist among angles, radii, chords, tangents, and secants in a circle?
- How do theorems help us understand and solve problems involving circles?
- In what ways can the properties of circles be applied to solve real-world or mathematical problems?
- How can you determine which theorem is most appropriate for a given circle problem?
- What mathematical reasoning is required to connect different parts of a circle to find a solution?