New Jersey: Linear, Quadratic, and Exponential Models Math Standards

7 standards · 2 domains

CONSTRUCT AND COMPARE LINEAR AND EXPONENTIAL MODELS AND SOLVE PROBLEMS

F-LE.A.1.a Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
F-LE.A.1.b Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
F-LE.A.1.c Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
F-LE.A.2 Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
F-LE.A.3 Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
F-LE.A.4 Understand the inverse relationship between exponents and logarithms. For exponential models, express as a logarithm the solution to ab^(ct) = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.

F-LE.B.5 Interpret the parameters in a linear or exponential function in terms of a context.