| Instructional
programs from prekindergarten through grade 12 should enable
all students to— |
In grades 6–8 all students should— |
| Understand
patterns, relations, and functions |
| • |
represent, analyze, and generalize a variety of patterns
with tables, graphs, words, and, when possible, symbolic
rules; |
| • |
relate and compare different forms of representation for
a relationship; |
| • |
identify functions as linear or nonlinear and contrast
their properties from tables, graphs, or equations. |
|
| Represent
and analyze mathematical situations and structures using
algebraic symbols |
| • |
develop an initial conceptual understanding of different
uses of variables; |
| • |
explore
relationships between symbolic expressions and graphs
of lines, paying particular attention to the meaning of
intercept and slope; |
| • |
use symbolic algebra to represent situations and to solve
problems, especially those that involve linear relationships;
|
| • |
recognize and generate equivalent forms for simple algebraic
expressions and solve linear equations |
|
| Use
mathematical models to represent and understand quantitative
relationships |
| • |
model and solve contextualized problems using various
representations, such as graphs, tables, and equations.
|
|
| Analyze
change in various contexts |
| • |
use graphs to analyze the nature of changes in quantities
in linear relationships. |
|
