Week 0: (8/18)
Thinking about being a mathematics teacher Introduction to NCTM Principals & Standards Setting up electronic communications (email and web page)
Week 1: (8/23 & 8/25)
Discussion of NCTM Principals & Standards Introduction to GSP4, Excel and Graphing Calculators Choose two of these Interactive Excel spreadsheets 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)
Week 2: (8/30 & 9/01) Number and Operations
Representing arithmetic operations dynamically on a number line (download GSP sketch)(download Numberline Tool)Investigating arithmetic relations dynamically: Mystery Machines Mystery Combinations
Week 3: (9/6 & 9/8) 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 linesExploring the behavior of functions with Dynagraphs Composing functions using a sequence of Dynagraphs
Week 4: (9/13 & 9/15) Exploring Functions with GSP
From Dynagraphs to Rectangular Coordinates. Investigating different functions using both Dynagraphs and Rectangular Coordinates
Week 5: (9/20 & 9/22) 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: (9/27 & 9/29) Trigonometry of the unit circle with GSP
Chapter 9 from Transforming Mathematics with GSP
Week 7 (10/04) Investigating Functions
Sorting Functions Conic functions through paper folding Download this GSP activity from Dr. Hatfield(10/06) Conic functions using Polar CoordinatesDownload a polar ellipse, Download a Polar Hyperbola
Week 8: (10/11)
Midterm Practice Exam Click here to download Dynagraphs_5.gsp(10/13) Midterm Practice Review
Week 9: (10/18) Mid-Term Exam on Functions
(10/20) Visit to the GCTM Annual Meeting at Rock Eagle
Week 10: (10/25) Data Exploration and Modeling
An introduction to Fathom: activities from Exploring Algebra 1 with Fathom
Week 11: (11/1 & 11/3) Exploring relations among data
Using Scatter Plots to display associations among data Linear Modeling (unit 2 from Exploring Algebra 1 with Fathom) Download Oxygen.ftm Exponential modeling (unit 4 from Exploring Algebra 1 with Fathom) Download 8 Countries.ftm
Week 12: (11/8 & 11/10) Representing relations among data
Experimental Labs: Collecting, representing and analyzing data pairs 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
Week 13: (11/15 & 11/17) Transforming Data
Linearizing quadratic data (Canadian birth rates) Linearizing exponential data (a return to the Slide Rule function)
Week 14: (11/22) Reporting the Results
Group and individual Lab reports due. Discussion of implications of labs for teaching
Week 15: (11/29 & 12/01) 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
Week 16: (12/08) Work on final projects
Final Projects due on Monday, December 12 before 5:00 p.m.
Final Exam: Thursday, December 15, 8:00-11:00 am