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Grade 10 · unit review

Review: Model Graphs and Compare Routes

Compare two paper paths: A-B-D has costs 2+8 minutes; A-C-E-D has costs 3+2+2 minutes. State hop counts,time totals and one missing real-world factor.

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Unit review questions
1. Direct connections from A. Undirected edges A-B,A-C,B-D,C-E. Which direct-neighbor set is requested?
Need a hint?
  • Use the listed edges to identify direct neighbors.
  • Nearby labels on a diagram do not create an edge.
2. Vertex E. Undirected edges A-B,A-C,B-D,C-E,D-F. Start A. Which layer contains the requested vertex?
Need a hint?
  • Expand all current-layer vertices before moving to the next layer, marking discoveries once.
  • Fewest hops need not mean minimum travel time when edges have different costs.
3. Route has three edge costs 3,8,5 minutes. Total modeled time?
Need a hint?
  • Add edge costs along the supplied route, using one stated cost unit.
  • Count of edges is not the same as sum of weighted costs.
4. Stairs are not distinguished from ramps. Which omitted detail matters?
Need a hint?
  • Identify which missing model detail affects the requested decision.
  • A shortest modeled path is not automatically usable by every traveler.

The download contains your current choices and any checked feedback. Keep the separate transfer-task work in your own document; downloading its instructions does not mark it complete.

Use the skills in a new task

Compare two paper paths: A-B-D has costs 2+8 minutes; A-C-E-D has costs 3+2+2 minutes. State hop counts,time totals and one missing real-world factor.

Work on paper or in your own document. Explain the choices you made.

  • Use only supplied fictional inputs and state the relevant rule.
  • Include labeled steps or evidence for each decision.
  • Name one limitation or tempting mistake.
  • Check that the result meets the task and revise a justified error.
Compare with a model response

The first has 2 hops and 10 minutes. The second has 3 hops and 7 minutes, so fewer hops does not mean less modeled time. The model still needs current edge availability and applicable accessibility requirements.

A different response can also meet the criteria. Compare the evidence and reasoning, rather than copying the wording.