GR2
Degree Counting
度数统计
Graph / 图论Grades G5 - G8
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What It Looks Like
Recognition signals — when you see these, think of this structure:
- 1Dots connected by lines
- 2Network or connection diagram
- 3Questions about how many connections
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What It Really Tests
The core mathematical idea behind this structure:
A graph's structure becomes clear when you count each node's degree (number of connections).
给每个节点标上度数 (连接数), 图的结构就清晰了。
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Why Students Get Stuck
Common mistakes to watch out for:
- ⚠Judging by visual feeling instead of counting
- ⚠Missing one edge in the count
- ⚠Confusing nodes with edges
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Your First Step
How to begin thinking about problems with this structure:
Label every node with its degree number.
给每个节点标上它的度数。
Related Structures
These structures share similar patterns or thinking approaches: