Excursion in Modern Mathematics (Discrete Math) - Standard Correlation
DM.1.1 Use Tree diagrams, Venn diagrams and other pictorial representations to determine the number of outcomes in a problem situation;
DM.4.5 Use Bin-packing techniques to solve problems; DM.4.8 Use Linear Programming to minimize or maximize a variable subject to constraints;
1st Quarter
PART 1: Social Choice
Matrices
Supplement
DoDEA Standard Correlations
DM.2.1 Model problems using matrices and apply
matrix operations(including row reduction and
inverses) to solve them;
Additional Resources to Support the DoDEA
Standards
Discrete Math
Supplement-Quarter One.docx
Discrete Math 1st Quarter Supplement
Supplement
DM.2.2 Use matrix representation to model
polygons, and transformations;
Basic Matrix
Geometric
matrices-ti83[1].pdf Transformations with
Operations Diagnostic.pdf
Transformations with Matrices.docx
Matrices.pdf
Matrices and
Tranformations.pdf
Game Theory
Supplement
DoDEA Standard Correlations
DM.5.1 Use game theory to analyze situations and
select strategies which obtain preferred outcomes
for players;
Additional Resources to Support the DoDEA
Standards
Inroduction to Game
Theory.pdf
Game Theory.pdf
SubtractionGames.p
Game
df
Theory_TicTacToe_SpreeII_final.pdf
Tutorials:
Introduction to Game Theory (Yale Open Course)
The Mathematics
of Voting
Lesson 1.1:
Preference Ballots and
Preference Schedules
(Pgs. 2-5)
Last Edit 10 June 2011
DoDEA Standard Correlations
Additional Resources to Support the DoDEA
Standards
DM.5.2 Use election theory techniques to analyze
election data;
The Mathematics pf The Mathematics of The Mathematics of The Mathematics of
Voting.ppt
Voting 1-2.ppt
Voting 1-3.ppt
Voting 1-4.ppt
Excursion in Modern Mathematics (Discrete Math) - Standard Correlation
DM.1.1 Use Tree diagrams, Venn diagrams and other pictorial representations to determine the number of outcomes in a problem situation;
DM.4.5 Use Bin-packing techniques to solve problems; DM.4.8 Use Linear Programming to minimize or maximize a variable subject to constraints;
Lesson 1.2:
The Plurality Method
(Pgs.6-9)
Lesson 1.3
The Borda Count Method
(Pg. 10-11)
Lesson 1.4:
The Plurality-withElimination Method
(Instant Runoff Voting)
(Pgs: 12-16)
Lesson 1.5:
The Method of Pairwise
Comparisons
(pg. 22-26)
Lesson 1.6:
Ranks
(pg. 16-21)
OPTIONAL – Time
Permitting
Chapter 1:
Conclusion, Key
Concepts, Exercises,
Projects and Papers
(Pgs: 27-41)
Chapter 2: The
Mathematics of
Power
DM.5.2 Use election theory techniques to analyze
election data;
DM.5.2 Use election theory techniques to analyze
election data;
The Mathematics of The Mathematics of
Journal
Voting 1-5.ppt
Voting 1-6.ppt
Question-election theory.doc
Tutorials:
DM.5.2 Use election theory techniques to analyze
election data;
The Alternative Election Theory
Election Theory (Flash Cards)
DM.5.2 Use election theory techniques to analyze
election data;
NCTM: Other Voting Methods
DM.5.2 Use election theory techniques to analyze
election data;
DoDEA Standard Correlations
Lesson 2.1:
Introduction to Weighted
Voting
(Pgs. 42-47)
DM.5.3 Use weighted voting techniques to decide
voting power within a group.
Lesson 2.2:
DM.5.3 Use weighted voting techniques to decide
Additional Resources to Support the DoDEA
Standards
Chapter 2.ppt
Web Resources:
Last Edit 10 June 2011
Excursion in Modern Mathematics (Discrete Math) - Standard Correlation
DM.1.1 Use Tree diagrams, Venn diagrams and other pictorial representations to determine the number of outcomes in a problem situation;
DM.4.5 Use Bin-packing techniques to solve problems; DM.4.8 Use Linear Programming to minimize or maximize a variable subject to constraints;
The Banzhaf Power Index
(Pgs. 47 - 54)
Lesson 2.3:
Applications of the Banzhaf
Power Index
(Pgs. 55-57)
Lesson 2.4:
The Shapley-Shubik Power
Index
(Pgs. 57-62)
OPTIONAL – Time
Permitting
Lesson 2.5:
Applications of the
Shapley-Shubik Power
Index
(Pgs. 63-64)
OPTIONAL – Time
Permitting
Chapter 2:
Conclusion, Key
Concepts, Exercises,
Projects and Papers
(Pgs: 65-75)
voting power within a group.
Weighted Voting System Calculator
DM.5.3 Use weighted voting techniques to decide
voting power within a group.
Computer Algorithms for Voting Power Analysis
Supports - DoDEA Process Standards
Supports - DoDEA Process Standards
2nd quarter
Chapter 3: The
Mathematics of
Sharing
Lesson 3.1:
Fair Division Games
(Pgs 76-80)
Lesson 3.2:
Two Players: The DividerChooser Method
Last Edit 10 June 2011
DoDEA Standard Correlations
Additional Resources to Support the DoDEA
Standards
DM.4.6 Use fair division techniques to divide
continuous objects;
DM.4.6 Use fair division techniques to divide
continuous objects;
Fair Division
Games.ppt
Web Resources:
Excursion in Modern Mathematics (Discrete Math) - Standard Correlation
DM.1.1 Use Tree diagrams, Venn diagrams and other pictorial representations to determine the number of outcomes in a problem situation;
DM.4.5 Use Bin-packing techniques to solve problems; DM.4.8 Use Linear Programming to minimize or maximize a variable subject to constraints;
(Pgs. 80-81)
Lesson 3.3:
The Lone-Divider Method
(Pgs. 82-86)
Lesson 3.4:
The Lone-Chooser Method
(Pgs. 87-89)
Lesson 3.5:
The Last-Diminisher
Method
(Pgs. 90-94)
Lesson 3.6:
The Method of Sealed Bids
(Pgs. 95-97)
Lesson 3.7:
The Methods of Makers
(Pgs. 97-100)
Chapter 3:
Conclusion, Key
Concepts, Exercises,
Projects and Papers
(Pgs: 101-121)
Last Edit 10 June 2011
The Fair Division Calculator
DM.4.6 Use fair division techniques to divide
continuous objects;
DM.4.6 Use fair division techniques to divide
continuous objects;
DM.4.6 Use fair division techniques to divide
continuous objects;
DM.4.6 Use fair division techniques to divide
continuous objects;
DM.4.6 Use fair division techniques to divide
continuous objects;
Fair Division: Method of Lone Divider