7adv.MATH.11.F
Use the Pythagorean theorem and its converse to solve problems.
Grade 7 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
Pythagorean theoremconverseproblems
Skills
- use (the Pythagorean theorem) #dok1
- use (the converse of the Pythagorean theorem) #dok1
- solve (problems involving the Pythagorean theorem and its converse) #dok2
- determine (if a triangle is right using the Pythagorean theorem or its converse) #dok2
Learning Targets
- I can use the Pythagorean theorem to find a missing side length in a right triangle. #dok1
- I can use the converse of the Pythagorean theorem to determine if a triangle is a right triangle. #dok1
- I can solve problems involving the Pythagorean theorem and its converse in real-world and mathematical situations. #dok2
- I can determine if a given triangle is a right triangle by applying the Pythagorean theorem or its converse. #dok2
Big Ideas
- The Pythagorean theorem and its converse provide tools to solve and verify right triangle relationships in a variety of contexts.
- Applying and interpreting the Pythagorean theorem and its converse are foundational for understanding geometric relationships and solving real-world problems.
Essential Questions
- How can the Pythagorean theorem be used to solve real-world problems?
- In what ways does the converse of the Pythagorean theorem help you classify triangles?
- What steps do you follow to determine if a triangle is a right triangle using side lengths?
- How can identifying right triangles be useful outside of mathematics?
- What is the significance of knowing when to use the Pythagorean theorem versus its converse?