Data Analysis and Probability
Teacher tools
 Concepts  Data analysis  Probability 
 Concepts 912 from Science for All America s (SFAA) & National Assessment for Educational Progress (NAEP )
 Coordinate Graphing Notes
 Normal curves
 Frequency distribution examples with charts and graphs; Central tendency; Percentiles; and Correlations

Graphing sequence
 K  3 average, bar graph, concrete real object graph, data, grid, picture graph, table, tally, trial
 4  6 broken line graph, descriptive statistics, equally likely events, extrapolate, frequency, generalization, histogram, inference, interpret, interpolate, line graph, line plot, mean, media, midway, mode, ordered pair, outcome, probability, quadrant, random, range, ratio, sample, scale drawin,g simple event, statistics
 7  9 box plot, compound event, circle graph, error of measurement, extrapolate, mutually exclusive, outlier, quartile, scatter plot, skew, lines stem and leaf plot, whisker
 Rubber band stretch simulation
 Probability Rubric
 Vocabulary
 Probability concepts map
 Probability development with sample problem & explanation (experimental & theoretical)
Investigations & activities
 One die equal probability plan  linear outline
 One die equal probability plan  chart
 Sum of two six sided die unequal probability plan  linear outline
 Sum of two six sided die unequal probability plan  chart
 Tiles in a sock probability plan with three activities  short sequence  chart
 Sampling and chocolate chip cookies  linear outline
 Spinners  activities with spinners of equal sections and same and different numbers
 Bingo  how should I create my card for 09 addition
 Bingo  how should I create my card for 09 subtraction
 Body proportions
 Coin flips
 Six cards draw two to win
 Capture, release, and recapture  simulation activity to determine population of a particular animal
 Capture, release, and recapture simulation activity to determine populations of fish in a pond
 Frogs in a pond and Thinking Puzzles: Concrete and Formal Operational Thought Solutions
 The Case of the Carnival Probability Game
 Three coins
 Car keys sweepstakes
 Envelopes of cash or not
 Aces for dinner
 Sack lunches
 John Snow analysis for cholera in London, England
 Finding Pi with probability. Use a toothpick, nail, or needle & sheet of construction paper. Draw parallel lines that are spaced apart the length of the nail across the width of the paper for the length of the paper. Drop the needle from about a half meter above the paper and record if the toothpick lands on a line or not 50 times. Calculate the ratio and see how close it is to π (pi = 3.141592653589793...)
Ratio and Proportion information
Challenges:

Excellent source of ideas and problems:
The Power of Logical Thinking:
Easy Lessons in the Art of Reasoning... and Hard Facts About Its Absence
in Our Lives.
Marilyn Vos Savant (1996) ISBN 0312139853 Saint
Martin's Press: New York.

One of the universal customs that man has successfully established on earth is the
Hindu  Arabic numerals
to record numbers.

Data is just numbers. It needs an explanation or theory to make it data.



Read... Cell phone mathematics. The story of how Brad Parkinson used creativity and mathematics to enable the use of cell phones.