North Carolina

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Skills available for North Carolina high school math standards

Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.

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DCS.N Number and Quantity

DCS.F Functions

DCS.SP Statistics and Probability

DCS.GT Graph Theory

  • DCS.GT.1 Understand graph theory to model relationships and solve problems.

    • DCS.GT.1.1 Represent real world situations with a vertex-edge graph, adjacency matrix, and vertex-edge table.

    • DCS.GT.1.2 Test graphs and digraphs for Euler paths, Euler circuits, Hamiltonian paths, or Hamiltonian circuits.

    • DCS.GT.1.3 Interpret a complete digraph to determine rank.

  • DCS.GT.2 Apply graph theory to solve problems.

    • DCS.GT.2.1 Implement critical path analysis algorithms to determine the minimum project time.

    • DCS.GT.2.2 Implement the brute force method, the nearest-neighbor algorithm, and the cheapest-link algorithm to find solutions to a Traveling Salesperson Problem.

    • DCS.GT.2.3 Implement vertex-coloring techniques to solve problems.

    • DCS.GT.2.4 Implement Kruskal and Prim's algorithms to determine the weight of the minimum spanning tree of a connected graph.

DCS.L Logic

  • DCS.L.1 Evaluate mathematical logic to model and solve problems.

    • DCS.L.1.1 Construct truth tables that encode the truth and falsity of two or more statements.

    • DCS.L.1.2 Critique logic arguments (e.g., determine if a statement is valid or whether an argument is a tautology or contradiction).

    • DCS.L.1.3 Check 1s and 0s to determine whether a statement is true or false using Boolean logic circuits.

    • DCS.L.1.4 Judge whether two statements are logically equivalent using truth tables.