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STANDARDS

Math

Common Core Math

High School: Functions: Linear, Quadratic, and Exponential Models

HSF.LE.A

Construct and compare linear, quadratic, and exponential models and solve problems.

HSF.LE.A.1

Distinguish between situations that can be modeled with linear functions and with exponential functions.

HSF.LE.A.1.a

Not covered
Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
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HSF.LE.A.1.b

Mostly covered
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

HSF.LE.A.1.c

Fully covered
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

HSF.LE.A.2

Mostly covered
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).

HSF.LE.A.3

Mostly covered
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

HSF.LE.A.4

Fully covered
For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.

HSF.LE.B

Interpret expressions for functions in terms of the situation they model.

HSF.LE.B.5

Mostly covered
Interpret the parameters in a linear or exponential function in terms of a context.