South Carolina: Discrete Mathematics Math Standards
24 standards · 4 domains
DATA, PROBABILITY, AND STATISTICAL REASONING
- DM.DPSR.1.1 Investigate and describe the results of various election methods.
- DM.DPSR.1.2 Explain fairness and equity in relation to the paradoxes of voting.
- DM.DPSR.1.3 Solve apportionment problems using a variety of methods.
- DM.DPSR.1.4 Compare voting methods to determine the most appropriate method for the situation.
- DM.DPSR.1.5 Determine power indexes for weighted voting systems.
MEASUREMENT, GEOMETRY, AND SPATIAL REASONING
- DM.MGSR.1.1 Distinguish between inductive and deductive reasoning.
- DM.MGSR.1.2 Determine statements and rephrase them symbolically.
- DM.MGSR.1.3 Use negation, disjunction, and conjunction to determine if statements are logically equivalent.
- DM.MGSR.1.4 Write statements in words and symbolically using converse, inverse, and contrapositive.
- DM.MGSR.1.5 Verify arguments and syllogisms.
- DM.MGSR.1.6 Represent real-world situations using a vertex-edge graph.
- DM.MGSR.1.7 Test graphs and digraphs for paths and circuits.
NUMERICAL REASONING
- DM.NR.1.1 Define basic terms and concepts in set theory.
- DM.NR.1.2 Compare sets with appropriate language and notation.
- DM.NR.1.3 Determine and explain the cardinality of sets.
- DM.NR.2.1 Perform arithmetic operations using modular arithmetic properties.
- DM.NR.2.2 Solve problems involving modular arithmetic in real-world situations.
- DM.NR.2.3 Explain and apply binary and hexadecimal number systems.
- DM.NR.3.1 Calculate combinations and permutations.
PATTERNS, ALGEBRA, AND FUNCTIONAL REASONING
- DM.PAFR.1.1 Use estimation to get an approximate answer in real-world situations.
- DM.PAFR.1.2 Perform operations on sets.
- DM.PAFR.2.1 Create mathematical induction proofs using the Principle of Mathematical Induction.
- DM.PAFR.3.1 Manipulate matrices using addition, subtraction, multiplication, inverse, and power properties.
- DM.PAFR.3.2 Write and evaluate matrices drawn from real-world situations.