Benchmark 11D:
Common Themes : Scale
(grades 9-12, page 279)
Representing large numbers in terms of powers of ten makes it easier to
think about them and to compare things that are greatly different. (1 of
3)
Standard 6-5 page 154, Grades 9-12
Analyze the effects of parameter changes on the graphs of functions
Because different properties are not affected to the same degree by changes
in scale, large changes in scale typically change the way that things work
in physical, biological, or social systems. (2 of 3)
Standard 6-5 page 154, Grades 9-12
Analyze the effects of parameter changes on the graphs of functions
As the number of parts of a system grows in size, the number of possible
pair-wise interactions increases much more rapidly, roughly with the square
of the number of parts. (3 of 3)
Standard 6-2 page 154, Grades 9-12
Represent and analyze relationships using tables, verbal rules, equations,
and graphs
Standard 1-4 page 137, Grades 9-12
Apply the process of mathematical modeling to real-world problem situations
