Week 1: (8/17)

Thinking about being a mathematics teacher

Setting up electronic communications (email and LiveText)

Introduction and discussion of NCTM Principals & Standards

Introduction to the new Georgia Performance Standards for Mathematics 6-12.

Week 2: (8/22 & 8/24) Number and Operations

Introduction to GSP4, Excel and Graphing Calculators
Choose two of these Excel spreadsheet activities to explore!

Chapter 6 from Transforming Mathematics with GSP

The Slide Rule (download GSP Slide Rule)
Constructing a product of two numbers on a number line using dilation (connecting with transformational geometry) (download GSP sketch) (Download Numberline Tool)
Investigating arithmetic relations dynamically: Mystery Machines
Mystery Combinations

Week 3: (8/29 & 8/31) Characteristics of Functions

Chapter 7 from Transforming Mathematics with GSP

Dynamic algebraic functions using transformations
Constructing a linear function through dilation and translation
Constructing powers of x through dilation
Comparing Functions on parallel number lines

Exploring the behavior of functions with Dynagraphs
Composing functions using a sequence of Dynagraphs

Week 4: (9/5 & 9/7) Exploring Functions with GSP

From Dynagraphs to Rectangular Coordinates.
Investigating different functions using both Dynagraphs and Rectangular Coordinates

Operations on functions using multiple coordinate systems

Week 5: (9/12 & 9/14) Further Explorations of Functions with GSP

Transformations of the quadratic function graph
Using GSP4 as a function-grapher (Olive, 2002. Introduction to Functions with GSP4 )

Week 6: (9/19 & 9/21) Trigonometry of the unit circle with GSP

Chapter 9 from Transforming Mathematics with GSP

Week 7 (9/26 & 9/28) Investigating Functions

Sorting Functions
Conic functions through paper folding
GSP Simulation of paper folded conics

Week 8: (10/3) Midterm Practice Exam

Click here to download Dynagraphs_5.gsp

(10/5) Midterm Practice Review

Week 9: (10/10) Mid-Term Exam on Functions

(10/12) Experimental Labs

Collecting data from lab experiments

Week 10: (10/17) Representing and Analyzing Data from Experimental Labs

Line of best fit for a set of data pairs: Signed, Absolute and Squared deviations
Finding lines of best fit for your data from your lab experiments

(10/19) Visit to GCTM Annual Conference at Rock Eagle

Week 11: (10/24) Reporting on GCTM and the Results of your Data Explorations

Reports of sessions attended at GCTM

Group and individual Lab reports. Discussion of implications of labs for teaching

Activities from Unit 6 of Exploring Algebra 1 with Fathom
Download the Fathom file Escape Ramp.ftm

Activities from Unit 7 of Exploring Algebra 1 with Fathom
An example Integrated Mathematical Exploration

Geometric Probability and Curve Fitting using Fathom

Week 14: (11/14 & 11/16) Modeling with GSP

Chapter 8 from Transforming Mathematics with GSP

Using GSP to model physical situations and generate data:

The Biggest Box Problem
The Cardboard View-Tube Problem

Weeks 15 (11/21) Modelling with GSP (continued)

Weeks 16 & 17 (11/28, 11/30 & 12/05) Work on final projects 

Final Projects due on Monday, December 11 before 5:00 p.m.