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03/03/09

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List of Contributors

Part I

Euclidean Geometry Name
I-1.__

Constructions

I-1.1

Constructing Perpendiculars

Angela Hargrove

I-1.2

Constructing Triangles

Angela Hargrove

I-1.3 

Constructing Parallel and Perpendicular Lines

Kimberly Robey and Cigdem Oktem

I.1.4

Dividing a Line Segment into N Congruent Parts

Angela Hargrove

I.2.___   

Angles and Lines Properties

I.2.1

Exploring Parallel Lines and Related Angles 

Kimberly Robey and Cigdem Oktem

I.3.__ 

Triangles

I.3.1._     

Centers of a triangle

I.3.1.1

Perpendicular Bisector

 

I.3.1.2

Circumcenter & Circumcircle

 

I.3.1.3

 Angle Bisector

Angie Williams and Dr. Antonio Quesada

I.3.1.4

 Incenter & Incircle 

Angie Williams and Dr. Antonio Quesada

I.3.1.5 

Medians

 

I.3.1.6

Center of Mass   

Angie Williams and Dr. Antonio Quesada

I.3.1.7 

Orthocener

Angie Williams and Dr. Antonio Quesada

I.3.2.___

Similarity

I.3.2.1

 Discovery

Marcie Bail and Nathanael Honkomp

I.3.2.2

 SAS Similarity Theorem

Marcie Bail and Nathanael Honkomp

I.3.2.3

AA Similarity Theorem

Marcie Bail and Nathanael Honkomp

I.3.2.4       

Similar Triangles on the Coordinate Plane (SSS Theorem by Construction)

Marcie Bail and Nathanael Honkomp

I.3.2.5

SSA Similarity Theorem

Jenny Walls and Christopher Pashke

I.3.2.6

Area and Perimeter in Similar Polygons

L. Day

I.3.3.__

Isosceles Triangles

I.3.3.1

Properties

Bill Johnson

I.3.4

Midsegment of a Triangle

Cindy Barb

I.3.5

Heron's Formula for the Area of a Triangle

Chris Garrett

I.3.6

Exploring Harmonic Conjugates

Chris Pashke

I.3.7

Exploring Trigonometric Ratios

Christopher Pashke and Jenny Walls

I.3.8

45o/45o/90o and 30o/60o/90o triangles

DiLoreti and Darrah

I.3.9

The Minimal Distance Point from the Vertices of a Triangle

Dave Erb and Dave Wood

I.3.10

Minimum Perimeter of an Inscribed Triangle

Dave Erb and Dave Wood

I.3.11

Exploring the Hinge Theorem

Jenny Walls

I.3.12   

Triangle Inequality Theorems Investigation

M. Callhoun

I.4. 

Polygons

I.4.1

Quadrilaterals

I.4.1.1

Diagonals

Angela Hargrove and Lynn Roth

I.4.1.2 

Using Constructions to Explore Quadrilaterals

Angela Hargrove

I.4.1.3

Quadrilateral Discovery

Sean Cox and Lynn Roth

I.4.1.4

Parallelograms

Sean Cox and Lynn Roth

I.4.1.5 

Special Parallelograms

I.4.1.5.1

Rectangle  

Sean Cox and Lynn Roth

I.4.1.5.2 

Square

Sean Cox and Lynn Roth

I.4.1.5.3

Rhombus

Sean Cox and Lynn Roth

I.4.1.6

Trapezoids

Sean Cox and Lynn Roth

I.4.1.7

Kite

Sean Cox and Lynn Roth

I.4.2

Interior & Exterior angles

Angela Hargrove

I.4.3

Tessellations

DiLoreti and Darrah

I.4.4

Circumscribed Polygon

Dave Erb and Dave Wood

I.5. 

Areas

I.5.1

 Rectangle

Brian Mathews and Jennifer Morrison

I.5.2

Parallelograms

Brian Mathews and Jennifer Morrison

I.5.3

Triangles

Brian Mathews and Jennifer Morrison

I.5.3.1

Area of Triangles with same base and height

Cheryl Lafferty

I.5.4 

Trapezoids

Brian Mathews and Jennifer Morrison

I.5.5

Regular Polygons

Brian Mathews and Jennifer Morrison

I.5.6  

Irregular Polygons

Brian Mathews and Jennifer Morrison

I.6.  

Circles

I.6.1

Conjectures

Brent Neibecker and Jennifer Morse

I.6.2

Diameter and Pi

D. Hensley

I.6.3

Inscribed (cyclic) Quadrilaterals and Parallelograms

Rodney Rowell

I.7.

Locii   

I.7.1 

Locus Theorems

Brent Neibecker

 I.7.2

Getting Familiar with the Locus Theorems

Brent Neibecker

I.7.3

Compound Locus

Brent Neibecker

I.7.4

The Parabola as a Locus

Brent Neibecker

I.7.5

The Ellipse as a Locus

Brent Neibecker

I.7.6

The Hyperbola as a Locus

Brent Neibecker

I.8. 

Other Topics

 

I.8.1

Sequence of triangles with collinear circumcenters

Zahra Ebrahim

Part II

Modern Euclidean Geometry

 

II.1.

Nine-point Circle

Nathanael Honkomp

II.2

Pedal Triangle

Sean Cox

II.3

Napoleon Triangle

Sean Cox

II.4

Menelaus’s Theorem

Jennifer Morse and Marcie Bail

II.5

Ceva’s Theorem

Jennifer Morse and Marcie Bail

II.6

Exploring Special Line (Pappus, Desargues, Pascal’s Mystic Hexagram)

Jenny Walls

Part III

Plane Transformations

 

III.1.

Isometries

III.1.1.  

Reflections

Holly Dragomir

III.1.1.1

Composition of Reflections

John Markling

III.1.2.  

Translations

Holly Dragomir

III.1.3. 

Rotations

Holly Dragomir

III.2.   

Using Matrices

III.2.1.

Indentity and Scaling  

Matt Zuercher

III.2.2.  

Translations

Matt Zuercher

III.2.3.

Reflections

Matt Zuercher

III.2.4.

Rotations

Matt Zuercher

III.2.5.

Appendix

Matt Zuercher

Part IV

Combinatorial Geometry

 

IV.1

Pick’s theorem  

Angela Hargrove and Lynn Roth

IV.2.   

Euler’s theorem

Angela Hargrove and Lynn Roth

 

Part V

 Fractal Geometry

Soon

Part VI

 Non-Euclidean Geometries

 

VI.1.

Spherical geometry  

Brian Mathews

VI.2.

Hyperbolic geometry

Ike -James- Holzapfel

VI.2.1.

Does the Pythagorean Theorem hold true in Hyperbolic space?

 

VI.2.2.

Do the angles of a d-triangle sum to 180 degrees?

 

VI.2.3.

How can we find area of a d-triangle?

 

VI.2.4.

Do d-triangles have an Incenter?

 

VI.2.5.

Do d-triangles have a Circumcenter?

 

VI.3.

Projective geometry   

 

VI.4.

Finite Geometry Example

Gerald Fox

Part VII

Applications of Dynamic Geometry Software to teach Calculus & Algebra

 

VII.1.

Finding Maximum and Minimum

Angela Williams

VII.2.

Finding Absolute Maximum and Minimum

Angela Williams

VII.3.

Secant Line Approximations of the Tangent Line

Dave Erb and Dave Wood

Part VIII

Introduction to Starlogo

 

VIII.1.

Overview  

Travis Lutz

VIII.2.

Environment

Travis Lutz

VIII.3.

References

Travis Lutz

VIII.4.

Exploration

Travis Lutz

VIII.5.

Basics

Travis Lutz

VIII.6.

Variables

Travis Lutz

Part VIIII

   Additional Geometry Topics

    Properties of Parallelograms Kelly Fisher, Michael Bradac, Todd Bowers
    Pythagorean Theorems and Special Right Triangles (Nspire) John Hopkins, Angela (Hargrove) Nonno, Jill (Myers) Plank. 
    Perpendicular Bisectors of a Triangle Mary Becker, Michelle Flanagan, Elizabeth Niksa.
    Development and Application of the Distance Formula 2D and 3D
    Right Triangles and Trigonometry Bill Johnson, Rosemarie Millin and Michelle Wright
   

Community Geometry (Elementary Geometry)

Lodema Miller and Jon Short
   

Exploring Similarity (Elementary Geometry)

K. Nettling Yoak and D. Ellis
       
       
 

Pre-Algebra and Algebra I

    Slope of a Line Elaine Alexander, Minnie Harris, Linda Singer.
    An Inquiry Based Approach to Solving a System of Linear Inequalities Robert C. Kozenko, Velvet L. Mella, Tricia A. Mencin.
    Discovering Slope-Intercept Form Hoffland, Kirchendorfer, Salzgeber
   

Savings, Loans and Interest

Barbara Adler, Scott Waseman

   

Number and Number Relations

Sandra K. Bradbury
   

Number and Number Relations, Estimation and Mental Math with Fractions

Martin Meyer, Debbie Capper

   

Solving Two Step Equations

Mike Allred, Diane Farmer and Martin Meyer
   

Adding Integers using Integer Chips

Jackie Wolf, Pat Canterbury
   

Are You Getting the "Best" Deal ( Rate of Change)

Walter Calinger, Janine Janke
   

Area

Lisa Bee, Kelly Henninger, Tiffany Santana, Leslie Schafer
   

Circumference

Katie Joyce
   

Comparing and Ordering Fractions

Peggy Greiner, Robin Hobson, Pat Penchalk
   

Converting Within Metric System

Donna Massey and Julie Schlabaugh
   

Fraction Actions

Leana Benner and Julie Kupper
   

Relationship Between Decimal, Fractions and Percents

Dawn Joy, Irene Kresowaty, Beth Whitacre
   

Discovering Composite and Prime Numbers

Beth Collins, Frank Margida, Polly Tucker, & Lisa Benner
   

Discovering Similar Figures

Dawn Joy, Beth Whitacre, Sherri Nicodemus
   

Equations by Trial and Error

 
   

Patters

Erin Gibbs, Tiffany Veit
   

Equivalent Fractions

 
   

Estimating Profit

Walter Calinger, Julie Kupper, and Janine Janke
   

Linear Equations

Fred Saylor and Sherri Nicodemus
   

Math Puzzles

Polly Tucker
   

Square Roots

Jackie Wolf, Pat Canterbury, Joyce Soranno, Katie Jones
   

Using Rectangles and Squares to Introduce Factorization

 
   

Measuring Lengthin Metric Units

Beth Collins, Polly Tucker, & Frank Margida
   

Multiple Tower Multiplication and Division

Lisa Bee , Tiffany Santana
       
    Sixty Pennies in a Row (Problem Solving)  
       
       
 

Algebra II

    Introduction to Solving Quadratic Equations by Factoring

Barnes, Drake, Graham, Sharp

     Finding the Vertex of a Quadratic Function Bednar, Grossi, Polen, Krysty
     Systems of Equations Molly Bordenkircher, Jane Buehler, Stephanie Gonzi, Lester McCurdy
    Three Forms of a Quadratic Function Molly Breiding, Ike Holzapfel, and Arene Staszak
       
       
 

Discrete Math

    Cryptography Math Tech Students Spring 06 
    Scheduling: Constructing a Diagraph (three part lesson)  
    Functions  
    Markov Chains Brad VanHoozer, Jonathan Truex
    Network Matrices Van Thu Tran, Rhonda Renker
    Infinite Geometric Series Andrew Stephens, Janice Stebner Andrew Stephens, Janice Stebner
    Linear Programming Activities Nspire  
    Problems Discrete  
    Real-World Sequence and Series Scenarios Greg Koltas, Donna Langenderfer, Tom Lanning, Jeff VanArnhem
       
       
    Probability
    Experiments in Theoretical Probability – 6 part lessons  
    Multistage Probabilities  
    Rolling the Dice  
    Probability Spinners  
    Probability Problems  
    Venn Pizza  
   

Fair or Not

Lisa Bee, Kelly Henninger, Tiffany Santana, Leslie Schafer
   

Complementary Events

Cindy Johnston, Mary, Joyce Housley, Julie Schlabaugh, Donna Massey
   

Probability of Independent Events

Pat Canterbury Katie Jones Joyce Soranno Jackie Wolf
   

Spring Carnival - Games

Walter Calinger, Julie Kupper, and Janine Janke
 

Recursion

    Sequences Beverly Kuster, Antonio Preston, Martin Drexler, David Harter. 
    Interest and Loans Michael Allred and Marsha Ervin. 
    Fibonnachi (Nspire) Jeff Levine
    Rate of Growth of Populations Brandon Rodgers
   

Generating Sequences via Recursion I (Nspire)

Matthew Nicolosi

   

Generating Sequences via Recursion II (Nspire)

Jason Smith

   

Relative Growth Application (Nspire) Lina Tebcherini

Lina Tebcherini

   

Recursion Canadian Population

Rec Canadian Population

   

Recursive Finances TI 92

Antonio Quesada

   

Animal Pop Recursion (Nspire)

Courtney Pohly

   

Rumors Recursion (Nspire)

Katrina Moffett

   

Wheat Recursion (Nspire).

Amanda Warner

  Data Analysis
    IB Solar System  
    Least Squares and Best Fit  
    Outliers Effect  
    Regression With Music (TI 84)  
       
       
       
       
  Statistics
    Deviation and Standard Deviation  
    Statistical Plots  
    Using the mean and the median  
   

Evaluating Statistical Graphs

Dorene Ellis, Kim Nettling
   

Creating Graphs

Mary Meadows
       
       
     Precalculus/Foundations to Calculus
    The Monte Carlo Method for Estimating the Area Under the Curve Samantha Fales, Alane Malerick, Dave Meadows
       
    Inverses  
    Inverses Michelle Augusta, Connie Kramer, Michael Scott, Kim Schneider
    Analyzing the Relationship between a Logarithmic Function and Its Inverse (TI 84) Nan Csarny, Cindy Kamkutis, Daniel McKeen. 
       
    Modeling  
       
    Regression- Who is Missing from the Zoo?  (Nspire) Nick Ciulli, Linda Imhoff, Cathie Petrus, Andrea Cassidy (Novak)
    Modeling Max and Min (Nspire) Cable, Nieding, Banks, Pennington
       
    Trigonometry  
    Introduction to Tangent Lines using TI-nspire CAS Paul Dillick, Gerald Fox, Robert Redinger, Jenny Walls
    Applying Trigonometric Functions to Everyday Life Situations (Nspire) Matthew Brown, Alan Fox, Chris Schorsten
    Secant Parabola (Nspire) Antonio Quesada
       
    Inequalities  
    Linear Programming Inequalities. (Nspire) Scott Ayers, Antonio Quesada
    Compound Interest and e (Nspire) Scott Ayers, Antonio Quesada
       
    Global and End Behavior  
    Global Behavior (Nspire)

Jason Smith, Antonio Quesada

    Global Behavior/Jump Discontinuities (TI 84 notes) Mike Smith, Antonio Quesada
    End Behavior of Polynomials (Nspire) Chris Johnson, Antonio Quesada
    End Behavior of Powers of X (Nspire) Chris Johnson, Antonio Quesada
       
    Local Behavior  
    Local Behavior Scott Ayers, Antonio Quesada
    Local Behavior of Polynomials Scott Ayres
    Local Behavior of Rational Functions Todd, Quesada
       
    Polynomials  
    Polynomial Graph near a Zero (Nspire) Scott Ayres, Antonio Quesada
    Graphs of Polynomials Activity 1 (Nspire) Chris Johnson, Antonio Quesada
    Graphs of Polynomials Activity 2 (Nspire) Chris Johnson, Antonio Quesada
    Polynomial Shape According to Degree (Nspire) Scott Ayres, Antonio Quesada
       
    Relative Growth  
    Relative Growth Application  (Nspire) Lina Tebcherini, Antonio Quesada
       
    Limits  
    Base e (Nspire) Lina Tebcherini
    Limits with Recursion (Nspire) Jeffrey Levine
    Piecewise Limits Function (Nspire) Amanda Warner
    Linear Piecewise Functions (Nspire) Kimble, Silvasy, Willson
    Epsilon-delta limits I (Nspire) Jennifer Welsh
    Another look at Epsilon-delta limits (Nspire) Brandon Rodgers, Antonio Quesada
    Intervals (Nspire) Luke Varner
    Local Behavior (Nspire)  
    Sequences to Infinity (Nspire) Chris Few
    Interest Limits (Nspire) Scott Ayres
    Limit behavior sin(pi div nx) (Nspire) Chris Johnson, Matt Nicolosi
       
   

Optimization: (All Nspire)

 
    The Apple Orchard Scott Ayres, Matthew Nicolosi
    The Box Problem Amanda Warner, Luke Varner
    The Paper Problem Melissa Horak, Jeffrey Levine
    The Rectangle Problem Courtney Pohly, Chris Few
    The River Problem Chris Johnson, Lina Tebcherini
    The Rod and Corner Problem Jennifer Welsh, Brandon Rodgers
    The Two Towers Antonio Quesada
    The Window Problem Jason Smith, Katrina Moffett
       
    Transformations  
    Transformations (The Parent Trap) (Nspire) Cerny, Nebe, Weimer
    Scale Change Schroeder, Aring
    Another Look at Translations Schroeder, Aring
 

Problem-Solving

    The Census Problem
    Coffee and Milk
 
    Fit the Facts  
    The Pairing Problem  
    Sixty Pennies in a Row  
    Solving Problems by Trial and Answer  
    OMAP The Tournament Problem
 
    Tournament Pairing Problems
 
    Various Problems
 
    Venn Diagrams  
 
       
 
 
 
 
 

 

     

 

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