Algebra (NCTM)
Understand patterns, relations, and functions.
Represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules.
Connections to the Grade 8 Focal Points (NCTM)
Algebra: Students encounter some nonlinear functions (such as the inverse proportions that they studied in grade 7 as well as basic quadratic and exponential functions) whose rates of change contrast with the constant rate of change of linear functions. They view arithmetic sequences, including those arising from patterns or problems, as linear functions whose inputs are counting numbers. They apply ideas about linear functions to solve problems involving rates such as motion at a constant speed.