This work sample illustrates a standardsetting
performance for the following parts of the standards:

a 
Function and
Algebra Concepts: Use linear patterns to solve problems. 
b 
Function and
Algebra Concepts: Build iterations of simple nonlinear patterns. 
a 
Mathematical
Communication: Use appropriate mathematical terms, vocabulary,
and language. 

a
Function and Algebra Concepts: The student
uses linear patterns to solve problems; that is, shows how one quantity
determines another in a linear (“repeating”) pattern,
i.e., describes, extends, and recognizes the linear pattern by its
rule, such as the total number of legs on a given number of horses
can be calculated by counting by fours.
The student explained what patterns are, and noted that a pattern
can be linear, i.e., that it “may or may not repeat itself.”
The student gave an example of a linear pattern and extended it.
b
Function and Algebra Concepts: The student
builds iterations of simple nonlinear patterns, including multiplicative
and squaring patterns (e.g., “growing” patterns) with
concrete materials, and recognizes that these patterns are not linear.
The student
explained what patterns are, and noted that a pattern can “grow
or lower itself,” i.e., be nonlinear.
