Benchmark
11C: Common Themes - Constancy and Change
(grades 9-12, page 275)
Graphs and equations are useful (and often equivalent) ways for depicting
and analyzing patterns of change. (4 of 7)
Standard 4-1 page 146, Grades 9-12
Recognize equivalent representations of the same concept
Standard 5-2 page 150, Grades 9-12
Use tables and graphs as tools to interpret expressions, equations,
and inequalities
Standard 6-3 page 154, Grades 9-12
Translate among tabular, symbolic, and graphical representations of
functions
Standard 8-1 page 161, Grades 9-12
Translate between synthetic and coordinate representations
Standard 8-2 page 161, Grades 9-12
Deduce properties of figures using transformations and using coordinates
In many physical, biological, and social systems, changes in one direction
tend to produce opposing (but somewhat delayed) influences, leading to
repetitive cycles of behavior. (5 of 7)
Standard 6-5 page 154, Grades 9-12
Analyze the effects of parameter changes on the graphs of functions
Standard 9-2 page 163, Grades 9-12
Explore periodic real-world phenomena using the sine and cosine functions
