Mathematics of Industry & Government

Deterministic Decision Making

Probabilistic Decision Making

Process Standards

Reading Across the Curriculum

Students will explore decision making through linear programming, optimal locations, and optimal paths.

Students will use normal and other (e.g.binomial, geometric, and Poisson) distributions as well as simulations to make appropriate decisions.

The following process standards are essential to mastering each of the mathematics content standards. They emphasize critical dimensions of the mathematical proficiency that all students need.

Students will enhance reading in all curriculum areas by:

Students will use advanced linear programming to make decisions.

Students will determine optimal locations and use them to make appropriate decisions.

Students will determine optimal paths and use them to make appropriate decisions.

Students will use properties of normal distributions to make decisions about optimization and efficiency.

Students will use properties of other distributions (e.g. binomial, geometric, Poisson) to make decisions about optimization and efficiency.

Students will use other probabilistic models to make decisions.

Students will use computer simulations to make decisions.

Students will solve problems (using appropriate technology).

Students will reason and evaluate mathematical arguments.

Students will communicate mathematically.

Students will make connections among mathematical ideas and to other disciplines.

Students will represent mathematics in multiple ways.

Reading in all curriculum areas

Discussing books

Building vocabulary knowledge

Establishing context

Distinguish among continuous, integer, and binary contexts.

Model a contextual problem with three or more variables.

Solve problems with three or more variables using technology.

Interpret the results.

Examine cause and effect of contextual changes.

Find the optimal median location in a one-dimensional context.

Find the optimal median location in a rectilinear context.

Find the optimal location given three equally weighted, non-collinear points.

Find the optimal location in a set covering context.

Relate context to a network representation.

Apply appropriate recursive algorithms for minimum spanning tree, shortest path, and critical path management.

Examine alternate decisions in response to contextual changes.

Calculate theoretical and empirical probabilities using standardized and non-standardized data.

Analyze and interpret the probabilities in terms of context.

Consider contextual factors and investigate issues within the decision-making process.

Apply techniques to quality control settings.

Calculate theoretical and empirical probabilities using standardized and non-standardized data.

Analyze and interpret the probabilities in terms of context.

Consider contextual factors and investigate issues within the decision-making process.

Use program evaluation review technique (PERT) to investigate completion times of a project.

Develop and apply transition matrices to make predictions using Markov Chains.

Apply queuing theory.

Consider contextual factors and investigate issues within the decision making process.

Use technology to simulate a real-world situation.

Analyze, evaluate, and interpret results.

Examine alternate decisions in response to contextual changes.

Build new mathematical knowledge through problem solving.

Solve problems that arise in mathematics and in other contexts.

Apply and adapt a variety of appropriate strategies to solve problems.

Monitor and reflect on the process of mathematical problem solving.

Recognize reasoning and proof as fundamental aspects of mathematics.

Make and investigate mathematical conjecture.

Develop and evaluate mathematical arguments and proofs.

Select and use various types of reasoning and methods of proof.

Organize and consolidate their mathematical thinking through communication.

Communicate their mathematical thinking coherently and clearly to peers, teachers, and others.

Analyze and evaluate the mathematical thinking and strategies of others.

Use the language of mathematics to express mathematical ideas precisely.

Recognize and use connections among mathematical ideas.

Understand how mathematical ideas interconnect and build on one another to produce a coherent whole.

Recognize and apply mathematics in contexts outside of mathematics.

Create and use representations to organize, record, and communicate mathematical ideas.

Select, apply, and translate among mathematical representations to solve problems.

Use representations to model and interpret physical, social, and mathematical phenomena.

Read a minimum of 25 grade-level appropriate books per year from a variety of subject disciplines and participate in discussions related to curricular learning in all areas

Read both informational and fictional texts in a variety of genres and modes of discourse

Read technical texts related to various subject areas

Discuss messages and themes from books in all subject areas.

Respond to a variety of texts in multiple modes of discourse.

Relate messages and themes from one subject area to messages and themes in another area.

Evaluate the merit of texts in every subject discipline.

Examine author's purpose in writing.

Recognize the features of disciplinary texts.

Demonstrate an understanding of contextual vocabulary in various subjects.

Use content vocabulary in writing and speaking.

Explore understanding of new words found in subject area texts.

Explore life experiences related to subject area content.

Discuss in both writing and speaking how certain words are subject area related.

Determine strategies for finding content and contextual meaning for unknown words.