Principles and Standards for School Mathematics
Understand patterns, relations, and functions
Expectations (6 - 8)
identify functions as linear or nonlinear and contrast their properties from tables, graphs, or equations.
Expectations (9 - 12)
understand relations and functions and select, convert flexibly among, and use various representations for them;
analyze functions of one variable by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior;
understand and compare the properties of classes of functions, including exponential, polynomial, rational, logarithmic, and periodic functions;
Use mathematical models to represent and understand quantitative relationships
Expectations (6 - 8)
identify functions as linear or nonlinear and contrast their properties from tables, graphs, or equations.
model and solve contextualized problems using various representations, such as graphs, tables, and equations.
Expectations (9 - 12)
understand relations and functions and select, convert flexibly among, and use various representations for them;
analyze functions of one variable by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior;
understand and compare the properties of classes of functions, including exponential, polynomial, rational, logarithmic, and periodic functions;
identify essential quantitative relationships in a situation and determine the class or classes of functions that might model the relationships;
Recognize and apply mathematics in contexts outside of mathematics
Create and use representations to organize, record, and communicate mathematical ideas
Select, apply, and translate among mathematical representations to solve problems
Use representations to model and interpret physical, social, and mathematical phenomena