OGM.13.PRF
Open Global Math Standards 2026™ · 12th Grade
Mathematical Reasoning, Logic, Proof, and Problem-Solving Modeling
Grade12th Grade
SubjectMath
Levelstrand
Child standards (2)
- OGM.13.PRF.1Construct rigorous mathematical arguments and formal proofs using deduction, exhaustion, disproof by counterexample, and proof by contradiction (including the irrationality of √2 and the infinity of primes); apply number-theoretic principles to justify relations involving natural numbers.
- OGM.13.PRF.2Formulate, evaluate, and refine multi-step mathematical models across disciplines and contextual scenarios, applying structured problem-solving cycles, selecting appropriate digital and analytical tools, critiquing underlying assumptions, and communicating conclusions with precise mathematical notation and set language.