Activity I: Will Women Athletes Ever Catch and Surpass Their Male Counterparts? (Grade Level 58)
About Math Concepts 
Women Athletes 
Batting Averages and More 
Career Connections 
More Math Concepts
Standards
Standard 2: Patterns, Functions, and Algebra
Standard 5: Data Analysis, Statistics, and Probability
Standard 9: Connections
Objectives
 read, interpret, and reason from graphic representations
 fit straight lines to data
 determine the equation of a line
 determine the point of intersection of two straight lines
 find the yvalue of an equation for a given xvalue.
Activity I
The following graphs
are the simultaneous plots of the Olympic records for men and women in
the same event over the same years.
 Explain why the
plots for the 100meter freestyle decrease while the plots in the high
jump graph increase.
 Judging from the
graph, does it appear that the women will ever jump as high as the men
jump in the same year? Explain.
 Judging from the
graph, does it appear the women and men will ever swim the 100meter
freestyle in the same record time in the same year?
 Draw straight
lines on the high jump scatter plots, find their equations, and use
that information to support your arguments from problem 2.
 Draw straight
lines on the freestyle scatter plots, find their equations, and use
that information to support your arguments from problem 3.
 Use the equations
of the lines created in problem 5 to determine the year when the women
will swim the 100meter freestyle in the same time as the men. What
is that predicted time?
 Do you think
that the solution to problem 5 is a possible achievement? Explain
your reasoning.
*This activity
could be modified for an elementary level by eliminating problems 47.
This activity could also be modified for upper level students. Have
students determine if they find the "best" fit lines in problems 4
 7 to be least squares linear regression lines. Then have them determine
a model with a "better" fit and write a supporting argument for their
choice.
