lesson
Triangle Angle Sum: Euclidean vs. Spherical Geometry
Compare the sum of angles in a triangle in Euclidean geometry with that in spherical geometry.
Updated 1 month ago · 2 views
Premium Lesson
This lesson is part of a track
Public learning track
Geometric Arguments and Systems
8 lessons
Goal
Apply logical reasoning to evaluate geometric arguments, compare Euclidean and non-Euclidean geometric systems, and communicate geometric ideas precisely using diagrams, symbols, and written explanations.
8 lessons
0 of 8 done
- Identifying Valid and Invalid Geometric ArgumentsUp next
- Introduction to Euclidean GeometryNot started yet
- Parallel Lines: Euclidean vs. Spherical GeometryNot started yet
- Triangle Angle Sum: Euclidean vs. Spherical GeometryYou are here
- Comparing Geometries: Real-World ImplicationsNot started yet
- Using Diagrams to Communicate Geometric IdeasNot started yet
- Creating Representations to Organize Geometric RelationshipsNot started yet
- Justifying Geometric Arguments with Precise LanguageNot started yet
Learning standards covered
111.41(b)(4)(D)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradecompare geometric relationships between Euclidean and spherical geometries, including parallel lines and the sum of the angles in a triangle.
Open Global Standard:OGM.11.GEO.1
111.41(b)(1)(A)Texas Essential Knowledge and Skills (TEKS) · Math · 10th Gradeapply mathematics to problems arising in everyday life, society, and the workplace;
Open Global Standard:OGM.11.GEO.1
OGM.11.GEO.1