Moorpark High School: Departments of Meteorology, Mathematics, Exterior Design and Disaster Preparedness

Copyright (c), 2008 Thomas R. Baker, M.S.

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Discrete Mathematics
Discrete Mathematics
Excursions in Modern Mathematics with Mini-Excursions
Sixth Edition - Peter Tannenbaum, Pearson Prentice Hall, New Jersey, 2007.
ISBN: 0-13-231913-6
Discrete Mathematics
ECLRs
Discrete Mathematics
August/September
1  The Mathematics of Voting
1.1  Preference Ballots and Preference Schedules
1.2  The Plurality Method
1.3  The Borda Count Method
1.4  The Plurality-with-Elimination Method (Instant Runoff Voting)
1.5  The Method of Pairwise Comparisons (Copeland's Method)
1.6  Rankings
Chapter 1 Test
Chapter 1 Vocabulary/Notes

September
2 Weighted Voting Systems
2.1  Weighted Voting Systems
2.2  Banzhaf Power Index
2.3  Applications of Banzhaf Power
2.4  The Shapley-Shubik Power Index
2.5  Applications of Shapley-Shubik Power
Chapter 2 Test
Chapter 2 Vocabulary/Notes

October
3  Fair Division
3.1  Fair-Division Games
3.2  Two Players: The Divider-Chooser Method
3.3  The Lone-Divider Method
3.4  The Lone-Chooser Method
3.5  The Last-Diminisher Method
3.6  The Method of Sealed Bids
3.7  The Method of Markers
Chapter 3 Test
Chapter 3 Vocabulary/Notes

October
4  The Mathematics of Apportionment
4.1  Apportionment Problems
4.2  Hamilton's Method and Quota Rule
4.3  The Alabama and Other Paradoxes
4.4  Jefferson's Method
4.5  Adam's Method
4.6  Webster's Method
Chapter 4 Test
Chapter 4 Vocabulary/Notes

November
5  Euler Circuits
5.1  Euler Circuit Problems
5.2  Graphs
5.3  Graph Concepts and Terminology
5.4  Graph Models
5.5  Euler's Theorems
5.6  Fleury's Algorithm
5.7  Eulerizing Graphs
Chapter 5 Test
Chapter 5 Vocabulary/Notes

November
6  The Traveling Salesman Problem
6.1  Hamilton Circuits and Hamilton Paths
6.2  Complete Graphs
6.3  Traveling Salesman Problems
6.4  Simple Strategies for Solving TSPs
6.5  The Brute-Force and Nearest-Neighbor Algorithms
6.6  Approximate Algorithms
6.7  The Repetitive Nearest-Neighbor Algorithm
6.8  The Cheapest-Link Algorithm
Chapter 6 Test
Chapter 6 Vocabulary/Notes

December
7  The Mathematics of Networks
7.1  Trees
7.2  Spanning Trees
7.3  Kruskal's Algorithm
7.4  The Shortest Network Connecting Three Points
7.5  Shortest Networks for Four or More Points
Chapter 7 Test
Chapter 7 Vocabulary/Notes

December
8  The Mathematics of Scheduling
8.1  The Basic Elements of Scheduling
8.2  Directed Graphs (Digraphs)
8.3  Scheduling with Priority Lists
8.4  The Decreasing-Time Algorithm
8.5  Critical Paths
8.6  The Critical-Path Algorithm
8.7  Scheduling with Independent Tasks
Chapter 8 Test
Chapter 8 Vocabulary/Notes

January/February
9  Spiral Growth in Nature
9.1  Fibonacci Numbers
9.2  The Golden Ratio
9.3  Gnomons
9.4  Spiral Growth in Nature
Chapter 9 Test
Chapter 9 Vocabulary/Notes

February
10  The Mathematics of Population Growth
10.1  The Dynamics of Population Growth
10.2  The Linear Growth Model
10.3  The Exponential Growth Model
10.4  The Logistic Growth Model
Chapter 10 Test
Chapter 10 Vocabulary/Notes

March
11  Symmetry
11.1  Rigid Motions
11.2  Reflections
11.3  Rotations
11.4  Translations
11.5  Glide Reflections
11.6  Symmetry as a Rigid Motion
11.7  Patterns
Chapter 11 Test
Chapter 11 Vocabulary/Notes

March
12  The Geometry of Fractal Shapes
12.1  The Koch Snowflake
12.2  The Sierpinski Gasket
12.3  The Chaos Game
12.4  The Twisted Sierpinski Gasket
12.5  The Mandelbrot Set
Chapter 12 Test
Chapter 12 Vocabulary/Notes

April
13  Collecting Statistical Data
13.1  The Population
13.2  Sampling
13.3  Random Sampling
13.4  Sampling: Terminology and Key Concepts
13.5  The Capture-Recapture Method
13.6  Clinical Studies
Chapter 13 Test
Chapter 13 Vocabulary/Notes

April
14  Descriptive Statistics
14.1  Graphical Descriptions of Data
14.2  Variables
14.3  Numerical Summaries
14.4  Measures of Spread
Chapter 14 Test
Chapter 14 Vocabulary/Notes

May
15  Chances, Probabilities, and Odds
15.1  Random Experiments and Sample Spaces
15.2  Counting Sample Spaces
15.3  Permutations and Combinations
15.4  Probability Spaces
15.5  Equiprobable Spaces
15.6  Odds
Chapter 15 Test
Chapter 15 Vocabulary/Notes

May
16  Normal Distributions
16.1  Approximately Normal Distributions of Data
16.2  Normal Curves and Normal Distributions
16.3  Standardizing Normal Data
16.4  The 68-95-99.7 Rule
16.5  Normal Curves as Models of Real-Life Data Sets
16.6  Distributions of Random Events
16.7  Statistical Inference
Chapter 16 Test
Chapter 16 Vocabulary/Notes
Discrete Mathematics
Chapter 1
Page/Problems:
1.1
W: 30/1, 3, 5, 7, 9
J: 38/51, 52, 61, 63

1.2
W: 32/11, 13, 15
W: 32/12, 14, 16

1.3
W: 32/17, 19, 21, 23, 25
W: 32/18, 20, 22

1.4
W: 34/27, 29, 31, 33
W: 34/28, 30, 32

1.5
W: 35/35, 37, 39
W: 36/36, 38, 40

1.6
W: 36/41, 43, 45, 47
W: 36/42, 44, 48

Chapter 2
Page/Problems:
2.1
W: 72/1, 3, 5, 7
W: 72/2, 4, 6, 8

2.2
W: 73/11, 13, 15, 17, 19
W: 73/12, 14, 16, 18

2.3
W: 74/23, 25, 27, 29
W: 74/24, 26, 28, 30

2.4
W: 74/35, 37, 39, 41
W: 74/36, 38, 40, 42

2.5
W: 75/43, 45
J: 76/47, 49, 51

Chapter 3
Page/Problems:
3.1
W: 111/1, 2, 5, 7, 9
W: 111/4, 6, 8

3.2
W: 113/11, 13, 15, 17
W: 113/12, 14, 16

3.3
W: 115/19, 21, 23, 25, 27
W: 115/20, 22, 24

3.4
W: 116/31, 33, 35, 37
W: 116/32, 34, 36

3.5
W: 118/41, 43, 45, 47
J: 123/69, 71

3.6
W: 120/51, 53, 55, 57
W: 120/52, 54, 56

3.7
W: 121/59, 61, 63
W: 121/60, 62, 64

Chapter 4
Page/Problems
4.1
W: 150/1, 3, 5, 7
W: 150/2, 4, 6, 8

4.2
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Chapter 5
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Chapter 6
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Chapter 7
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Chapter 8
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Chapter 9
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Chapter 10
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Chapter 11
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Chapter 12
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Chapter 13
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Chapter 14
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Chapter 15
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Chapter 16
Page/Problems:
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Discrete Mathematics
Friday Activities - First Semester
Notebook Format
Table of Contents
Summary Page
Grading Rubric

  1. Gaussian Distribution (4 dice)
  2. Hurricane Tracking (scatter plots for lat/long and central pressure/wind speed)
  3. Sierpinski Triangle (1 die)
  4. Koeppen Biome Location (climate scattergraph and chart)
  5. Stranded at Sea/Caught in a Snowstorm
  6. Probability - 2 dice (Addition and Multiplication)
  7. First Month Weather Statistics: Temperature, Standard Deviation, Temperature Graph
  8. First Month Weather Statistics: Humidity, Standard Deviation, Humidity Graph
  9. First Month Weather Statistics: Dew Point, Standard Deviation, Dew Point Graph
  10. Probability - 1 Deck of Cards
  11. Nuclear Holocaust
  12. Second Month Weather Statistics: Temperature, Standard Deviation, Temperature Graph
  13. Second Month Weather Statistics: Humidity, Standard Deviation, Humidity Graph
  14. Second Month Weather Statistics: Dew Point, Standard Deviation, Dew Point Graph
  15. Probability Lines -Tossing Two Coins
  16. Probability - 5 Coins
  17. Anamorphic Art, History, (black and white and color), Giraffe, Donkey, Mona Lisa
  18. Third Month Weather Statistics: Temperature, Standard Deviation, Temperature Graph
  19. Third Month Weather Statistics: Humidity, Standard Deviation, Humidity Graph
  20. Third Month Weather Statistics: Dew Point, Standard Deviation, Dew Point Graph
Friday Activities - Second Semester
Notebook Format
Table of Contents
Summary Page
Grading Rubric


  1. Alphabet Frequencies
  2. Algebra I, II, Geometry Review
  3. Entry Level Mathematics Review, ELM Sample
  4. Other Tree Diagrams   Binary Code
  5. Algebra I, II, Geometry Review
  6. Entry Level Mathematics Review, ELM Sample
  7. The Colorized Quantum Hand - Jason Padgett QH w/2 Degree Frequency
  8. International Morse Code
  9. Algebra I, II, Geometry Review
  10. Climographs for Selected US Cities
  11. Algebra I, II, Geometry Review
  12. Entry Level Mathematics Review, ELM Sample
  13. Algebra I, II, Geometry Review
  14. Temperature and Dew Point Scattergraph, Scattergraph Data Table
  15. Entry Level Mathematics Review, ELM Sample
  16. Temperature and Barometric Pressure Scattergraph, Scattergraph Data Table
  17. Temperature and Relative Humidity Scattergraph, Scattergraph Data Table
  18. The Sierpinski Rectangle
  19. The Sierpinski Pentagon
  20. The Sierpinski Hexagon
Discrete Mathematics
Discrete Mathematics Projects
  1. City Block
  2. Desert Scene, Sample Desert Photos
  3. Tessellation
  4. Remote Sensing with Random Numbers, Numbers Table, Color Graph, B/W Graph, Satellite Description
  5. Frieze Strip
  6. Fractal Coastline, Cloud, Mountain, Description of Mandelbrot
  7. Stock Market Investment
  8. City Design, Map Symbols, DOT Florida Symbols, Creating a Map Legend, USGS Topo Map Symbols, City Council Questions
  9. Line Design, Sample Line Designs, Definitions, Wikipedia Websites for Curves (1, 2, 3), Alphabet Letters
  10. Sports Statistics
  11. The US Census
  12. Random Numbers
Discrete Mathematics
Sample city designs from Discrete Mathematics
Discrete Mathematics
Algebra and Geometry Skills Maintenance (with and without a calculator)

Algebra 1 and 2 (some skills require graph paper and a straightedge)
Squares
Square roots
Quadratic equations
Fractions
Graphs
Graphing
Percentage
Ratios
Factorial
Decimals
Geometric mean
Arithmetic mean
Counting
Data tables
Reading graphs
Addition
Division
Multiplication
Subtraction
Mileage charts
Random numbers
Permutations
Combinations
Sequences
Series
Sudoku
Simple interest
Compound interest

Geometry (some skills require a compass/straightedge)
Induction
Deduction
Patterns
Graph coloring
Map reading
Constructions
Pythagorean formula
Distance formula
Midpoint formula
Slope formula
Network drawings
Symmetry
Fractals
Tessellations
Nets
Euler
Triangles
Rectangles
Polygons
Diagonals of Polygons
Flowcharts
Logic
Algorithms
Discrete Mathematics
Activities, Games, Experiments and Projects


Weather Data
Biome Location (Scattergraph)
Temperature/Humidity (Scattergraph)
Temperature/Barometric Pressure (Scattergraph)
Weather Statistics (Temperature)
Weather Statistics (Humidity)
Weather Statistics (Dew Point)
Probability
Chess
Checkers
Sudoku
Induction
Hurricane Tracking
Codes and Cryptography
Digital and Analog
Slot Machine Statistics
Tessellations
Probability
Earthquakes
Prime Numbers
Infection Tracking
GameTheory
Rock, Paper, Scissors
Sundials
Frieze Patterns
Fractals
Spiral of Archimedes
Pascal's Triangle
Matrices
Sales
Timetables
Counting
Trees
Graphs
Coloring Regions
The Lottery (Scratchers)
The Lottery (Lotto)

CSET Practice Tests - Algebra, Geometry, Calculus
Meteorology RADIO REBEL Film and TV Other Classes W6MHS Contact Archives Site Map    
(c) copyright 2011, Thomas R. Baker. All Rights Reserved.
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