**EMAT 3500, Fall 2008
**

Setting up electronic communications (email and network)

Introduction and discussion of NCTM

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

Sharing e-Examples from the NCTM Principles & Standards

Introduction toGSP4andExcel

Choose two of these Excel spreadsheet activities to explore!

Week 2: (08/26 & 08/28) Number
and Operations & *Characteristics
of Functions*

Week 3: (09/02 & 09/04)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 CombinationsChapter 7 from

Transforming Mathematics with GSPDynamic algebraic functions using transformations

Constructing a linear function through dilation and translation

Constructing powers of x through dilation

Comparing Functions on parallel number lines

Click on the following links to download GSP sketches for these activities:

Click here to download a starting dynagraph sketch

Exploring
the behavior of
functions with *Dynagraphs*

From

Investigating different functions using both

Dynagraphsand Rectangular Coordinates

Week 4: (09/09 & 09/11) *Further
Explorations of Functions with GSP*

Download Classwork from 9/11/07

Activity 7.4 fromTransforming Mathematics with GSP:Transformations of the quadratic function

Using GSP4 as a function-grapher

Week 5: (09/16 & 09/18) *Trigonometry
of the unit circle with GSP*

Chapter 8

fromTransforming Mathematics with GSPClick here to download a starter sketch for the trig functions based on a unit circle

Week 6 (09/23 & 09/25) *Investigating
Functions*

Sorting Functions

Conic functions through paper folding

Download Chapter 13 fromTransforming Mathematics with GSP: Conic Sections

GSP Simulation of paper folded conics

Week 7: (09/30) **Midterm Practice Exam**

Click here to download Dynagraphs_5.gsp

(10/02)

Midterm Practice Review

Week 8: (10/07) **Mid-Term Exam on
Functions**

(10/09) Example Data Investigations from Core-Plus, Course 1, Unit 2.

An introduction toFathom

Week 9: (10/14) Continue investigation from Core-Plus,
Course 1, Unit 2.

(10/16) Visit to GCTM Annual Conference at Rock Eagle

Week 10: (10/21, 10/24 & 10/25)

(10/21)
Reports of Visit to GCTM Conference

Discussion of
Experimental Labs

Week 11: (10/28 & 10/30) Using TI-nSpire and Fathom to Collect and Analyze Data

(10/28) Experimental Labs

Collecting data from lab experiments

Finding function graphs to fit your data from your lab experiments

(10/30) Representing and Analyzing Data from Experimental Labs

Activities from

Simulation of Radioactive Decay (pages 67-69 of Exponential Equations PDF)

Download
the TI-nSpire file Radioactive
Decay.tns

Line
of best fit for a set of data pairs: Signed, Absolute and Squared
deviations

Discussion of implications
of labs for teachingWeek 12: (11/04 & 11/06) Data Explorations & Probability

More
Activities from
*Discovering Algebra 1 with the
TI-nSpire
*Polynomial Factoring--Maximum Area of a Folded Triangle (pages
119-121 of Quadratics and Higher
Degree Polynomials PDF)

An example Integrated Mathematical ExplorationWeek 13: (11/11 & 11/13) Modelling with GSP

Geometric Probability and Curve Fitting using Fathom and/or TI-nSpire

Click here to download the Fathm activity.

Click here to download the TI-nSpire document Monte Carlo.tns

** **

Chapter 9 fromWeek 14: (11/18 & 11/20) Modelling with GSP (continued)Transforming Mathematics with GSP

UsingGSPto model physical situations and generate data:The Biggest Box Problem (click here to download a sophisticated sketch of the problem)

The Cardboard View-Tube Problem (Click here to download a starter sketch)

Discussion of simulations from the Biggest Box and View-Tube experiments

Proposals for Final
Projects due

Week 15: (12/02 & 12/04)

Final Projects due on Monday, December 8 before 5:00 p.m.

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