Discrete Mathematics · Graph Theory

Virginia SOL DM.GT.5

Virginia SOL DM.GT.5 is part of the Graph Theory strand in Discrete Mathematics (Math). Under this Standards of Learning objective, students use algorithms to schedule tasks and determine minimum project time. Below is what DM.GT.5 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice DM.GT.5 for the Virginia SOL test.

What SOL DM.GT.5 means

Use algorithms to schedule tasks and determine minimum project time.

Skills you’ll practice for DM.GT.5

  • Specify in a digraph the order in which tests are to be performed.
  • Identify the critical path to determine the earliest completion time (minimum project time).
  • Use the list-processing algorithm to determine an optimal schedule.
  • Create and test scheduling algorithms.

Key concepts covered by DM.GT.5

  • digraph scheduling
  • task ordering
  • directed graphs
  • critical path
  • project scheduling
  • earliest completion time
  • list-processing algorithm
  • optimal scheduling
  • task scheduling
  • scheduling algorithms
  • algorithm testing
  • project management

How to study and practice SOL DM.GT.5

Start with a quick diagnostic to see whether DM.GT.5 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.

  • DM.GT.1Represent problems using vertex-edge graphs and analyze graph properties.
  • DM.GT.2Solve problems using circuits, cycles, Euler paths, Euler circuits, Hamilton paths, and Hamilton circuits.
  • DM.GT.3Apply graphs to conflict-resolution problems such as graph coloring, scheduling, matching, and optimization.
  • DM.GT.4Recognize and apply algorithms to solve configuration, conflict-resolution, and sorting problems.

Frequently asked questions about SOL DM.GT.5

What is Virginia SOL DM.GT.5?

SOL DM.GT.5 is a Discrete Mathematics Standard of Learning in the Graph Theory strand. It expects students to use algorithms to schedule tasks and determine minimum project time.

What skills does SOL DM.GT.5 cover?

SOL DM.GT.5 is assessed on 4 skills: specify in a digraph the order in which tests are to be performed; identify the critical path to determine the earliest completion time (minimum project time); use the list-processing algorithm to determine an optimal schedule; create and test scheduling algorithms.

What strand of Discrete Mathematics is SOL DM.GT.5 in?

SOL DM.GT.5 belongs to the Graph Theory reporting strand of the Discrete Mathematics Virginia Standards of Learning.

How do I study and practice for SOL DM.GT.5?

Start with a diagnostic to see whether DM.GT.5 is already solid, then work the 4 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.