6adv.MATH.12.D
Write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships.
Grade 6 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
equationsgeometry conceptssum of the angles in a triangleangle relationships
Skills
- write (equations using geometric concepts) #dok2
- solve (equations using geometric concepts, including angle-related problems) #dok2
- apply (knowledge of sum of angles in triangles to set up equations) #dok2
- use (angle relationships to write and solve equations) #dok2
Learning Targets
- I can write equations using knowledge of the sum of angles in a triangle. #dok2
- I can write equations representing angle relationships in geometric figures. #dok2
- I can solve equations that involve angle sums or angle relationships within geometric figures. #dok2
- I can use geometry concepts, including the sum of a triangle's angles, to solve for unknown values. #dok2
Big Ideas
- Geometric relationships, such as the sum of a triangle's angles, can be represented and solved using equations.
- Writing and solving equations based on geometry concepts allows students to find unknown angle measures in various geometric contexts.
Essential Questions
- How can we use equations to represent relationships among the angles in geometric figures?
- Why does the sum of the angles in a triangle always equal 180 degrees, and how can this fact help us solve problems?
- What strategies can we use to write equations that model real-world problems involving geometric shapes?
- How do different types of angle relationships (such as complementary, supplementary, or vertical angles) influence the equations we write?
- What steps should we follow to check the solutions we find when solving geometry-based equations?