---
title: "AFM.LR.2: Mathematical Proof Methods (Georgia Mathematics standard)"
code: AFM.LR.2
cite_as: Georgia Standards of Excellence, Mathematics, AFM.LR.2
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/AFM.LR.2
md_url: https://georgiahomeroom.org/standards/code/AFM.LR.2.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/AFM.LR.2.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# AFM.LR.2: Mathematical Proof Methods

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

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## 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.