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Georgia standard · Mathematics

AFM.LR.2Mathematical Proof Methods

Apply methods of proof to prove or disprove mathematical statements; explain reasoning and justify thinking through mathematical induction when formulating mathematical arguments.

Appears in: Mathematics, High School

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Expectations

  • AFM.LR.2.1

    Use a counterexample to disprove a statement.

  • AFM.LR.2.2

    Prove statements directly from definitions and previously proved statements.

  • AFM.LR.2.3

    Prove statements indirectly by proving the contrapositive of the statement.

  • AFM.LR.2.4

    Apply the method of reductio ad absurdum (proof by contradiction) to prove statements.

  • AFM.LR.2.5

    Use the method of mathematical induction to prove statements involving the positive integers.

Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.