Overview
Learning Intentions (Objectives)
- Students will use the Pythagorean Theorem to classify triangles and identify the characteristics of different types of triangles (acute, obtuse, isosceles, equilateral).
- Students will prove the Triangle Inequality Theorem.
Lesson Components
- Explore
- Watch (Triangle Inequality Theorem)
- Try This! (Using Triangle Inequality)
- Watch (Classifying Triangles)
- Practice
Standards Addressed in the Lesson
HSG.CO.C.10. Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point.