Advanced Mathematical Decision Making

MAAD: Advanced Mathematical Decision Making

MAAD.A: Number and Operations

MAAD.B.2: use vectors and matrices to organize and describe problem situations; represent situations and solve problems using vectors in areas such as transportation, computer graphics, and the physics of force and motion; represent geometric transformations and solve problems using matrices in fields such as computer animations

MAAD.C: Geometry

MAAD.D: Data Analysis and Probability

MAAD.A.1: extend the understanding of proportional reasoning, ratios, rates, and percents by applying them to various settings to include business, media, and consumerism; use proportional reasoning to solve problems involving ratios; analyze and use averages, weighted averages, and indices; solve problems involving large quantities that are not easily measured; explain how identification numbers, such as UPCs, are created and verified

MAAD.B.3: use a variety of network models to organize data in quantitative situations, make informed decisions, and solve problems; solve problems represented by a vertex-edge graph, and find critical paths, Euler paths, and minimal spanning trees; construct, analyze, and interpret flow charts to develop an algorithm to describe processes such as quality control procedures; investigate the scheduling of projects using PERT; consider problems that can be resolved by coloring graphs

MAAD.B.4: create and analyze mathematical models to make decisions related to earning, investing, spending, and borrowing money; use exponential functions to model change in a variety of financial situations; determine, represent, and analyze mathematical models for income, expenditures, and various types of loans and investments

MAAD.B.5: analyze and evaluate the mathematics behind various methods of voting and selection; evaluate various voting and selection processes, which include polling biases voting to determine an appropriate method for a given situation; apply various ranking algorithms to determine an appropriate method for a given situation

MAAD.C.6: create and use two- and three-dimensional representations of authentic situations

MAAD.C.7: solve geometric problems involving inaccessible distances using basic trigonometric principles, including the Law of Sines and the Law of Cosines

MAAD.D.8: determine probability and expected value to inform everyday decision making; determine conditional probabilities and probabilities of compound events to make decisions in problem situations; use probabilities to make and justify decisions about risks in everyday life; calculate expected value to analyze mathematical fairness, payoff, and risk

MAAD.D.9: build the skills and vocabulary necessary to analyze and critique reported statistical information, summaries, and graphical displays

MAAD.D.10: apply statistical methods to design, conduct, and analyze statistical studies

MAAD.D.11: use functions to model problem situations in both discrete and continuous relationships; determine whether a problem situation involving two quantities is best modeled by a discrete relationship; use linear, exponential, logistic, piecewise and sine functions to construct a model