Georgia flagGeorgia: Mathematics Of Industry and Government Math Standards

40 standards · 11 domains

MIG.ARDDM

  • MIG.ARDDM.2.1 Use advanced linear programming to make decisions and interpret results in real-life contexts.
  • MIG.ARDDM.2.2 Distinguish among continuous, integer, and binary contexts
  • MIG.ARDDM.2.3 Model and interpret results of a contextual problem with three or more variables using linear programming.
  • MIG.ARDDM.2.4 Solve problems with three or more variables using technology and principles of linear programming.
  • MIG.ARDDM.2.5 Examine cause and effect of contextual changes.
  • MIG.ARDDM.3.1 Find the optimal median location in a one-dimensional context.
  • MIG.ARDDM.3.2 Find the optimal median location in a rectilinear context.
  • MIG.ARDDM.3.3 Find the optimal location given three equally weighted, noncollinear points
  • MIG.ARDDM.3.4 Find the optimal location in a set covering context.
  • MIG.ARDDM.4.1 Relate context to a network representation.
  • MIG.ARDDM.4.2 Apply appropriate recursive algorithms.
  • MIG.ARDDM.4.3 Examine alternate decisions in response to contextual changes.

ABSTRACT REASONING & DETERMINISTIC DECISION-MAKING – LINEAR PROGRAMMING

  • MIG.ARDDMa.2 Solve contextual, mathematical problems involving linear programming and use the mathematics as a model to make decisions about real life phenomena.

ABSTRACT REASONING & DETERMINISTIC DECISION-MAKING – OPTIMAL LOCATIONS

  • MIG.ARDDMb.3 Solve contextual, mathematical problems involving optimal locations and use the mathematics as a model to make decisions about real life phenomena.

ABSTRACT REASONING & DETERMINISTIC DECISION-MAKING – OPTIMAL PATHS

  • MIG.ARDDMc.4 Solve contextual, mathematical problems involving optimal paths and use the mathematics as a model to make decisions about real life phenomena.

MIG.ARPDM

  • MIG.ARPDM.5.1 Use properties of normal distributions to make decisions about optimization and efficiency.
  • MIG.ARPDM.5.2 Calculate, analyze and interpret theoretical and empirical probabilities using standardized and non-standardized data.
  • MIG.ARPDM.5.3 Consider contextual factors and investigate issues within the decision-making process.
  • MIG.ARPDM.5.4 Apply techniques to quality control settings.
  • MIG.ARPDM.6.1 Calculate theoretical and empirical probabilities using standardized and non-standardized data.
  • MIG.ARPDM.6.2 Analyze and interpret the probabilities in terms of context.
  • MIG.ARPDM.6.3 Consider contextual factors and investigate issues within the decision-making process.
  • MIG.ARPDM.8.1 Use technology to simulate a real-world situation.
  • MIG.ARPDM.8.2 Analyze, evaluate, and interpret results of simulations.
  • MIG.ARPDM.8.3 Examine alternate decisions in response to contextual changes of simulations.
  • MIG.ARPDM.9.1 Develop and analyze fair methods for voting.
  • MIG.ARPDM.9.2 Develop and analyze fair methods for apportioning representatives.
  • MIG.ARPDM.9.3 Develop fair methods for setting voting district boundaries.

ABSTRACT REASONING & PROBABILISTIC DECISION-MAKING – NORMAL DISTRIBUTIONS

  • MIG.ARPDMa.5 Solve contextual, mathematical problems with normal distributions to make appropriate decisions.

ABSTRACT REASONING & PROBABILISTIC DECISION-MAKING – BINOMIAL, GEOMETRIC, AND POISSON DISTRIBUTIONS

  • MIG.ARPDMb.6 Solve contextual, mathematical problems using other distributions (e.g., binomial, geometric, and Poisson) as well as simulations to make appropriate decisions.

ABSTRACT REASONING & PROBABILISTIC DECISION-MAKING – SIMULATIONS

  • MIG.ARPDMc.8 Use simulations to make appropriate decisions.

ABSTRACT REASONING & PROBABILISTIC DECISION-MAKING – FAIR REPRESENTATION

  • MIG.ARPDMd.9 Using quantitative reasoning, determine fair methods to reflect the wishes of a larger population with representatives.

MATHEMATICAL MODELING

  • MIG.MM.1.1 Explain contextual, mathematical problems using a mathematical model.
  • MIG.MM.1.2 Create mathematical models to explain phenomena that exist in the natural sciences, social sciences, liberal arts, fine and performing arts, and/or humanities contexts.
  • MIG.MM.1.3 Using abstract and quantitative reasoning, make decisions about information and data from a contextual situation.
  • MIG.MM.1.4 Use various mathematical representations and structures with this information to represent and solve real-life problems.

PROBABILISTIC REASONING – PROBABILISTIC MODELS

  • MIG.PR.7.1 Use program evaluation review technique (PERT) to investigate completion times of a project.
  • MIG.PR.7.2 Develop and apply transition matrices to make predictions using Markov Chains.
  • MIG.PR.7.3 Apply queuing theory
  • MIG.PR.7.4 Consider contextual factors and investigate issues within the decision-making process.
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