DISCM.MATH.2.C
Determine the valences of the vertices of a graph.
Discrete Mathematics for Problem Solving · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
valenceverticesgraph
Skills
- determine (valences of the vertices of a graph) #dok2
- identify (vertices in a graph) #dok1
- count (edges connected to a vertex) #dok1
- analyze (degree of a vertex in a graph) #dok2
Learning Targets
- I can identify the vertices in a given graph. #dok1
- I can count the number of edges connected to a vertex in a graph. #dok1
- I can determine the valence (degree) of each vertex in a graph. #dok2
- I can analyze and explain patterns in the valences across different graphs. #dok2
Big Ideas
- The structure and properties of a graph are closely related to the valence, or degree, of its vertices.
- Understanding vertex valence is essential for analyzing routes, circuits, and connectivity in graphs.
Essential Questions
- What does the valence of a vertex in a graph represent?
- How do you determine the valence of a vertex in a graph?
- Why is knowing the valence of each vertex important when analyzing a graph?
- How can analyzing vertex valences help solve real-world problems modeled by graphs?
- What patterns or insights can you gather by examining the valences in a given graph?