Unit Outline for Core Learning Goal 3:
Data Analysis and Probability
The following Unit Outline is offered as a first attempt to identify good sources of activities and background information for teachers who are preparing students to pass the Maryland State High School Assessment 1 (HSA 1) on Algebra and Data Analysis. The sources emphasize active student participation and the use of real data. A complete list of the references cited is given following the tables.
The student will demonstrate the ability to apply probability and statistical methods for representing and interpreting and communicating results, using technology when needed.
I. Measures of Central Tendency and Variability The student uses measures of central tendency and variability to solve problems and make informed decisions. (CLG 3.1.2) 




II. Proper and Improper Use of Statistics Given a set of data or statistics, the student will analyze and identify both proper and improper use of statistics. (CLG 3.2.3) 


III. Probability and Simulations Using data, the student determines the experimental or theoretical probability of an event. (CLG 3.1.3) 









Given data from simulation or research, the student makes informed decisions and predictions. (CLG 3.2.1)  

IV. Experimental Design The students will describe how they would do an investigation, select an investigation and defend their choice. Students will consider simple random sampling (SRS) techniques that may include sampling size, bias representation, and randomness.(CLG 3.1.1) 


V. Line of Best Fit The students will demonstrate his or her understanding of the process by finding a line of best fit and by using it to make predictions and/or interpret data (slope and intercepts) or by using a curve of best fit to make a prediction. (CLG 3.2.2) 


Books:
Burrill, Gail, et. al., Data Driven Mathematics: Exploring Regression, Palo Alto, California: Dale Seymour Publications, 1999
Burrill, Gail, et. al., Data Driven Mathematics: Mathematics in a World of Data, Palo Alto, California: Dale Seymour Publications, 1999
Coxford, Arthur, et al., Contemporary Mathematics in Context, A Unified Approach Course 1, Parts A and B, Chicago: Everyday Learning, 1997
Coxford, Arthur, et al., Contemporary Mathematics in Context, A Unified Approach Course 2, Part A, Chicago: Everyday Learning, 1998
Gnanadesikan, Mrudulla, et al., The Art and Techniques of Simulation. Palo Alto, California: Dale Seymour Publications, 1987
Hopfensberger, P., et al., Data Driven Mathematics: Probability through Data, Palo Alto, California: Dale Seymour Publications, 1999
Huff, Darrell, How to Lie with Statistics, Norton, W.W., New York, New York, 1993
Kranendonk, H., et al., Data Driven Mathematics: Exploring Centers, Palo Alto, California: Dale Seymour Publications, 1999
Landwehr, James M, et al., Exploring Surveys and Information from Samples. Palo Alto, California: Dale Seymour Publications, 1987
Landwehr, James M. and Anne Watkins, Exploring Data. Palo Alto, California: Dale Seymour Publications, 1986
Newman, Claire M, et al, Exploring Probability. Palo Alto, California: Dale Seymour Publications, 1987
Paulos, John Allen, A Mathematician Reads the Newspaper. New York: Basic Books, A Division of HarperCollins Publishers, Inc., 1995
Scheaffer, Richard L. et al, ActivityBased Statistics, New York: Springer, 1996
Tufte, Edward Rolf, Envisioning Information, Cheshire, Connecticut: Graphics Press, 1990
Tufte, Edward Rolf, The Visual Display of Quantitative Information, Cheshire, Connecticut: Graphics Press, 1983
Tufte, Edward Rolf, Visual Explanations, Cheshire, Connecticut: Graphics Press, 1997
Internet Resources:
Chance Website
http://www.dartmouth.edu/~chance
Contains statistics newsletters, activities, real examples of misuse of statistics.
Information Please Website
http://www.infoplease.com
Contains online dictionary, encyclopedia, almanac, and references containing current data sorted by category.
WWW Resources for Teaching Statistics
http://it.stlawu.edu/~rlock/tise98/onepage.html
Contains links to online resources for teaching statistics sorted by type.