# The Mathematics of Change

## Activities - Part I

TITLE WHAT TECH LEVEL
1 Outreach Workshop: Introduction to Mathematics of Change Simple presentation TI Teachers
2 Getting Started Using the Technology at your Disposal: One problem, three solutions TI,SS Algebra 1
3 Introduction to Predator-Prey Models Instructions for set-up, step by step TI,MCad,Stella A2 - Calc
4 Data Analysis in Algebra 2 Sample Lessons T,S A2 & above
5 Visualizing Rates of Change: Using Tanimate for the TI-82 Rates of change, tangents TI A2 to Calc
6 Potpourri of Problems Using the TI-82 Iterations, Statistics TI All High School
7 Simple Mathematical Dynamics with the TI-82 Devaney & TI-82 TI PC
8 The Clock Game: An Intro. to the Vocabulary of Dynamics     Pre-A
9 Scope & Sequence of Institute on Change Outline of summer   Us
10 Conjugacy in Dynamical Systems Complex dynamics P-nut PC
11 Spreadsheets in Pre-Algebra and Algebra Real life applications SS Pre-A & above
12 Fundamental Theorem of Calculus Euler's Method & Reimann Sums Spreadsheet Calc
13 Investigation Limits Polygons, sequences, series, functions SS A2 to Calc
14 Homework Spreadsheet A student look at grades SS 6 to 14
15 Introduction to Iteration Using the TI-82 Class activities for algebra 1 TI A1 / teachers
16 Iteration All Over Again 10 applications TI,SS Stu. or tchrs.
17 Iterative Solutions to Systems of Equations Solving systems SS,TI 9 to 14
18 Solving by Iteration: Insights Through Web Diagrams Solving Equations, Iterative systems TI PC
19 Introduction to the Mandelbrot Set Characteristics, number line, C-plane TI Pre-A to A2
20 Graphing Complex Numbers Multiply, rotate, dilate, iterate TI A2 to PC
21 Newton's Method in Precalculus Complex numbers, cube roots of 1 TI,SS,BASIC PC / Calc/A2
22 Fractals in Geometry Iteration in Geometry Fractograph Geometry or A1
23 Transformational Geometry Matrices, miras, mapping SKETCHPAD Geo to Trig
24 A Derivation of the Logistic Equation Logistic Equation   Calc
25 Age Specific Population Model Fibonacci's rabbits Spread,T A2 to PC

## Activities - Part II

TITLE WHAT TECH LEVEL
26 Calculus for the Twenty-first Century Wish list for the perfect calculus class   The world
27 Related Rates for Algebra I Balloon lab TI A1
28 Wind Chill Table Activity Data fitting SS,TI A2, PC
29 Simulation of the Battle of Trafalgar Euler's Method on Lanchester model SS,ST,MC,TI A2 to Calc
30 Experiments with Meandering Curves Sine-generated curves T,S Trig
31 A Rumor Can be Epidemic Modelling diseases TI-82 9 to 12
32 Dark Matter
33 Another Dinner with the Emperor Discussion, Writing, Experimentation T,S Basic to A1
34 Watching Your Step Chances of stepping on a crack TI 9 to 12
35 A Collection of Ideas and Activities   TI
36 Interdisciplinary Trails 3 discipline math trail   Family
37 Writing in Math Techniques to incorporate   7 to 12

### Acknowledgments

 This program was supported in part by the National Science Foundation under Grant TPE-9155263. This program was supported in part by a grant from the Pew Charitable Trusts. Opinions expressed are those of the authors and not necessarily those of the contributing organizations.

Woodrow Wilson Leadership Program in Mathematics lpt@www.woodrow.org
The Woodrow Wilson National Fellowship Foundation webmaster@woodrow.org
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