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STANDARDS

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US-NY

Math

New York Math

Algebra I: Functions - Linear, Quadratic, and Exponential Models

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

AI-F.LE.1

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

AI-F.LE.1.a

Mostly covered
Justify that a function is linear because it grows by equal differences over equal intervals, and that a function is exponential because it grows by equal factors over equal intervals.

AI-F.LE.1.b

Mostly covered
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another, and therefore can be modeled linearly.

AI-F.LE.1.c

Fully covered
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another, and therefore can be modeled exponentially.

AI-F.LE.2

Mostly covered
Construct a linear or exponential function symbolically given: i) a graph; ii) a description of the relationship; iii) two input-output pairs (include reading these from a table). (Shared standard with Algebra II)

AI-F.LE.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.

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

AI-F.LE.5

Mostly covered
Interpret the parameters in a linear or exponential function in terms of a context. (Shared standard with Algebra II)