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;
Represent and analyze mathematical situations and structures using algebraic symbols
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;
understand the meaning of equivalent forms of expressions, equations, inequalities, and relations;
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;
understand the meaning of equivalent forms of expressions, equations, inequalities, and relations;
use symbolic expressions, including iterative and recursive forms, to represent relationships arising from various contexts;
draw reasonable conclusions about a situation being modeled.
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