Mathematics of Industry and Government Version: 2011-2012


 
Scholastic Area that Course Is Active In: Mathematics

Strand: Process Standards


 
MMIGP2
Students will reason and evaluate mathematical arguments.
Element: MMIGP1.a
Build new mathematical knowledge through problem solving.
Element: MMIGP1.b
Solve problems that arise in mathematics and in other contexts.
Element: MMIGP1.c
Apply and adapt a variety of appropriate strategies to solve problems.
Element: MMIGP1.d
Monitor and reflect on the process of mathematical problem solving.
 

 
MMIGP2
Students will reason and evaluate mathematical arguments.
Element: MMIGP2.a
Recognize reasoning and proof as fundamental aspects of mathematics.
Element: MMIGP2.b
Make and investigate mathematical conjecture.
Element: MMIGP2.c
Develop and evaluate mathematical arguments and proofs.
Element: MMIGP2.d
Select and use various types of reasoning and methods of proof.
 

 
MMIGP3
Students will communicate mathematically.
Element: MMIGP3.a
Organize and consolidate their mathematical thinking through communication.
Element: MMIGP3.b
Communicate their mathematical thinking coherently and clearly to peers, teachers, and others.
Element: MMIGP3.c
Analyze and evaluate the mathematical thinking and strategies of others.
Element: MMIGP3.d
Use the language of mathematics to express mathematical ideas precisely.
 

 
MMIGP4
Students will make connections among mathematical ideas and to other disciplines.
Element: MMIGP4.a
Recognize and use connections among mathematical ideas.
Element: MMIGP4.b
Understand how mathematical ideas interconnect and build on one another to produce a coherent whole.
Element: MMIGP4.c
Recognize and apply mathematics in contexts outside of mathematics.
 

 
MMIGP5
Students will represent mathematics in multiple ways.
Element: MMIGP5.a
Create and use representations to organize, record, and communicate mathematical ideas.
Element: MMIGP5.b
Select, apply, and translate among mathematical representations to solve problems.
Element: MMIGP5.c
Use representations to model and interpret physical, social, and mathematical phenomena.
 

Strand: Probabilistic Decision Making


 
MMIGPD1
Students will use properties of normal distributions to make decisions about optimization and efficiency.
Element: MMIGPD1.a
Calculate theoretical and empirical probabilities using standardized and non-standardized data.
Element: MMIGPD1.b
Analyze and interpret the probabilities in terms of context.
Element: MMIGPD1.c
Consider contextual factors and investigate issues within the decision-making process.
Element: MMIGPD1.d
Apply techniques to quality control settings.
 

 
MMIGPD2
Students will use properties of other distributions (e.g. binomial, geometric, Poisson) to make decisions about optimization and efficiency.
Element: MMIGPD2.a
Calculate theoretical and empirical probabilities using standardized and non-standardized data.
Element: MMIGPD2.b
Analyze and interpret the probabilities in terms of context.
Element: MMIGPD2.c
Consider contextual factors and investigate issues within the decision-making process.
 

 
MMIGPD3
Students will use other probabilistic models to make decisions.
Element: MMIGPD3.a
Use program evaluation review technique (PERT) to investigate completion times of a project.
Element: MMIGPD3.b
Develop and apply transition matrices to make predictions using Markov Chains.
Element: MMIGPD3.c
Apply queuing theory.
Element: MMIGPD3.d
Consider contextual factors and investigate issues within the decision making process.
 

 
MMIGPD4
Students will use computer simulations to make decisions.
Element: MMIGPD4.a
Use technology to simulate a real-world situation.
Element: MMIGPD4.b
Analyze, evaluate, and interpret results.
Element: MMIGPD4.c
Examine alternate decisions in response to contextual changes.
 

Strand: Deterministic Decision Making


 
MMIGDD1
Students will use advanced linear programming to make decisions.
Element: MMIGDD1.a
Distinguish among continuous, integer, and binary contexts.
Element: MMIGDD1.b
Model a contextual problem with three or more variables.
Element: MMIGDD1.c
Solve problems with three or more variables using technology.
Element: MMIGDD1.d
Interpret the results.
Element: MMIGDD1.e
Examine cause and effect of contextual changes.
 

 
MMIGDD2
Students will determine optimal locations and use them to make appropriate decisions.
Element: MMIGDD2.a
Find the optimal median location in a one-dimensional context.
Element: MMIGDD2.b
Find the optimal median location in a rectilinear context.
Element: MMIGDD2.c
Find the optimal location given three equally weighted, non-collinear points.
Element: MMIGDD2.d
Find the optimal location in a set covering context.
 

 
MMIGDD3
Students will determine optimal paths and use them to make appropriate decisions.
Element: MMIGDD3.a
Relate context to a network representation.
Element: MMIGDD3.b
Apply appropriate recursive algorithms for minimum spanning tree, shortest path, and critical path management.
Element: MMIGDD3.c
Examine alternate decisions in response to contextual changes.
 

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