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STANDARDS

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US-NC

Math

North Carolina Math

Discrete Mathematics for Computer Science: Number and Quantity

DCS.N.1

Apply operations with matrices and vectors.

DCS.N.1.1

Mostly covered
Implement procedures of addition, subtraction, multiplication, and scalar multiplication on matrices.

DCS.N.1.2

Fully covered
Implement procedures of addition, subtraction, and scalar multiplication on vectors.

DCS.N.1.3

Fully covered
Implement procedures to find the inverse of a matrix.

DCS.N.2

Understand matrices to solve problems.

DCS.N.2.1

Not covered
Organize data into matrices to solve problems.
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DCS.N.2.2

Not covered
Interpret solutions found using matrix operations including Leslie Models and Markov Chains, in context.
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DCS.N.2.3

Fully covered
Represent a system of equations as a matrix equation.

DCS.N.2.4

Fully covered
Use inverse matrices to solve a system of equations with technology.

DCS.N.3

Understand set theory to solve problems.

DCS.N.3.1

Fully covered
Recognize sets, subsets, and proper subsets.

DCS.N.3.2

Fully covered
Implement set operations to find unions, intersections, complements and set differences with multiple sets.

DCS.N.3.3

Not covered
Represent properties and relationships among sets using Venn diagrams.
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DCS.N.3.4

Not covered
Interpret Venn diagrams to solve problems.
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DCS.N.4

Understand statements related to number theory and set theory.

DCS.N.4.1

Not covered
Use the Euclidean Algorithm to determine greatest common factor and least common multiple.
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DCS.N.4.2

Mostly covered
Use the Fundamental Theorem of Arithmetic to solve problems.

DCS.N.4.3

Fully covered
Conclude that sets are equal using the properties of set operations.

DCS.N.4.4

Not covered
Explain theorems related to greatest common factor, least common multiple, even numbers, odd numbers, prime numbers, and composite numbers.
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