Advanced Mathematical Decision Making
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Other Georgia Mathematics sets
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- Grade K - Learning Progressions
- Grade 1
- Grade 1 - Learning Progressions
- Grade 2
- Grade 2 - Learning Progressions
- Grade 3
- Grade 3 - Learning Progressions
- Grade 4
- Grade 4 - Learning Progressions
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Mathematical Practices
- 0
Display perseverance and patience in problem-solving. Demonstrate skills and strategies needed to succeed in mathematics, including critical thinking, reasoning, and effective collaboration and expression. Seek help and apply feedback. Set and monitor goals.AMDM.MP
- 0.1
Make sense of problems and persevere in solving them.AMDM.MP.1
- 0.2
Reason abstractly and quantitatively.AMDM.MP.2
- 0.3
Construct viable arguments and critique the reasoning of others.AMDM.MP.3
- 0.4
Model with mathematics.AMDM.MP.4
- 0.5
Use appropriate tools strategically.AMDM.MP.5
- 0.6
Attend to precision.AMDM.MP.6
- 0.7
Look for and make use of structure.AMDM.MP.7
- 0.8
Look for and express regularity in repeated reasoning.AMDM.MP.8
- 0.1
Mathematical Modeling
- 1
Apply mathematics to real-life situations; model real-life phenomena using mathematics.AMDM.MM.1
- 1.1
Explain contextual, mathematical problems using a mathematical model.AMDM.MM.1.1
- 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.AMDM.MM.1.2
- 1.3
Using abstract and quantitative reasoning, make decisions about information and data from a contextual situation.AMDM.MM.1.3
- 1.4
Use relevant information to create various mathematical representations and structures to solve real-life problems.AMDM.MM.1.4
- 1.1
Quantitative & Proportional Reasoning
- 2
Make decisions and solve problems using ratios, rates, and percents in a variety of real-world applications.AMDM.QPR.2
- 2.1
Apply proportions, ratios, rates, and percentages to various settings, including business, media, and consumerism.AMDM.QPR.2.1
- 2.2
Solve problems involving ratios in mechanical and agricultural contexts.AMDM.QPR.2.2
- 2.3
Use proportions to solve problems involving large quantities that are not easily measured.AMDM.QPR.2.3
- 2.1
- 3
Make predictions by analyzing averages and indices of large data sets through investigations of real-world contexts.AMDM.QPR.3
- 3.1
Use averages and weighted averages to make decisions.AMDM.QPR.3.1
- 3.2
Calculate and interpret indices.AMDM.QPR.3.2
- 3.1
Patterning & Algebraic Reasoning
- 4
Develop methods or algorithms to analyze discrete situations.AMDM.PAR.4
- 4.1
Create and verify identification numbers.AMDM.PAR.4.1
- 4.2
Analyze and evaluate the mathematics behind various methods of voting and selection.AMDM.PAR.4.2
- 4.3
Evaluate various voting and selection processes to determine an appropriate method for a given situation.AMDM.PAR.4.3
- 4.4
Apply various ranking algorithms to determine an appropriate method for a given situation.AMDM.PAR.4.4
- 4.1
- 5
Analyze the chances for success or failure in order to make decisions.AMDM.PR.5
- 5.1
Determine conditional probabilities and probabilities of compound events to make decisions in problem situations.AMDM.PR.5.1
- 5.2
Use probabilities to make and justify decisions about risks in everyday life.AMDM.PR.5.2
- 5.1
- 8
Create and analyze mathematical models to make decisions related to earning, investing, spending, and borrowing money.AMDM.PAR.8
- 8.1
Use exponential functions to model change in a variety of financial situations.AMDM.PAR.8.1
- 8.2
Determine, represent, and analyze mathematical models for income, expenditures, and various types of loans and investments.AMDM.PAR.8.2
- 8.1
- 11
Use functions to model problem situations in both discrete and continuous relationships.AMDM.PAR.11
- 11.1
Represent situations and solve problems using vectors, in areas such as transportation, computer graphics, and the physics of force and motion.AMDM.PAR.11.1
- 11.2
Represent geometric transformations and solve problems using matrices.AMDM.PAR.11.2
- 11.1
- 12
Make informed decisions and solve problems with a variety of network models in quantitative situations.AMDM.PAR.12
- 12.1
Solve problems represented by a vertex-edge graphs.AMDM.PAR.12.1
- 12.2
Construct, analyze, and interpret flow charts to develop an algorithm to describe processes such as quality control procedures.AMDM.PAR.12.2
- 12.3
Investigate the scheduling of projects using Program Evaluation Review Technique (PERT).AMDM.PAR.12.3
- 12.4
Consider problems that can be resolved by coloring graphs.AMDM.PAR.12.4
- 12.1
Probabilistic Reasoning
- 6
Model strategic interaction among rational decision-makers.AMDM.PR.6
- 6.1
Calculate expected value to analyze mathematical fairness, payoff, and risk.AMDM.PR.6.1
- 6.2
Analyze real-life situations involving strategic interactions using the mathematics of zero-sum games.AMDM.PR.6.2
- 6.3
Construct a mathematical model of probabilistic situations to make mathematical assumptions.AMDM.PR.6.3
- 6.1
Data & Statistical Reasoning
- 7
Conduct investigative research to solve real-life problems and answer statistical investigative questions involved in business and financial decision-making.AMDM.DSR.7
- 7.1
Apply statistical methods to design, conduct, and analyze statistical studies. Identify a contextual, real-life problem that can be answered using investigative research.AMDM.DSR.7.1
- 7.2
Build the skills and vocabulary necessary to analyze and critique reported statistical information, summaries, and graphical displays. Develop statistical investigative questions that can help solve a real-life problem involved in business and financial decision-making.AMDM.DSR.7.2
- 7.3
Create a statistical study using sound methodology to answer statistical investigative questions and to solve the real-life problem.AMDM.DSR.7.3
- 7.4
Explain how the sample size impacts the precision with which estimates of the population parameters can be made (i.e., the larger the sample size the more precision).AMDM.DSR.7.4
- 7.5
Recognize that random selection from a population plays a different role than random assignment in an experiment.AMDM.DSR.7.5
- 7.6
Incorporate random designs in data collection.AMDM.DSR.7.6
- 7.7
Describe ways in which big data can be used to make decisions in various business enterprises and in the context of business and financial decision-making.AMDM.DSR.7.7
- 7.8
Use distributions to identify the key features of the data collected.AMDM.DSR.7.8
- 7.9
Interpret results and make connections to the original research question.AMDM.DSR.7.9
- 7.1
Functional & Graphical Reasoning
- 9
Use functions to model problem situations in both discrete and continuous relationships.AMDM.FGR.9
- 9.1
Determine whether a problem situation involving two quantities is best modeled by a discrete or continuous relationship.AMDM.FGR.9.1
- 9.2
Use linear, exponential, logistic, and piecewise functions to construct a model.AMDM.FGR.9.2
- 9.1
Geometric & Spatial Reasoning
- 10
Use functions to model problem situations in both discrete and continuous relationships.AMDM.GSR.10
- 10.1
Create and use two-dimensional and three-dimensional representations to model authentic situations.AMDM.GSR.10.1
- 10.2
Solve problems involving inaccessible distances using basic trigonometric principles including extensions of right triangle trigonometry.AMDM.GSR.10.2
- 10.1
Frequently asked questions
- What grade levels do these standards cover?
- Grade 9, Grade 10, Grade 11, and Grade 12
- Where can I read the official document?
- Georgia’s K-12 Mathematics Standards-Implementation SY2023-2024
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