--- title: "LACS.PR.6: Markov Chains (Georgia Mathematics standard)" code: LACS.PR.6 cite_as: Georgia Standards of Excellence, Mathematics, LACS.PR.6 subject: math grades: - high-school language: en canonical_url: https://georgiahomeroom.org/standards/code/LACS.PR.6 md_url: https://georgiahomeroom.org/standards/code/LACS.PR.6.md alternate_language_url: https://georgiahomeroom.org/es/standards/code/LACS.PR.6.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 --- # LACS.PR.6: Markov Chains Using probabilistic and quantitative reasoning, solve contextual, mathematical problems using Markov chains to explain real-life phenomena. - Subject: Mathematics - Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md ## Expectations - **LACS.PR.6.1**: Model a finite random process using transition matrices in a Markov chain. - **LACS.PR.6.2**: Simulate the different stages of a Markov chain using random numbers. - **LACS.PR.6.3**: Use matrix algebra to calculate the probability of future states of a Markov chain. - **LACS.PR.6.4**: Determine the attractor for a regular Markov chain. - **LACS.PR.6.5**: Use transition matrices to identify absorbing states of a Markov chain. - **LACS.PR.6.6**: Apply Markov chains in context. - **LACS.PR.6.7**: Write a program to model the probabilities of real-life phenomena using a Markov chain. ## 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.