Lesson Plan

Define "constant percent rate" as a fixed percentage of the current value added or subtracted each period, and connect this to the base of an exponential function

Identify constant percent rate situations from verbal descriptions by recognizing key phrases such as "increases by 5%," "depreciates 12% per year," "doubles," "halves," and "grows by a factor of"

Convert a percent rate to a growth factor (1 + r for growth, 1 - r for decay) and write the corresponding exponential function

Distinguish constant percent rate situations (exponential) from constant rate situations (linear) in verbal descriptions

Explain why constant percent rate produces exponential behavior: each period, the AMOUNT of change is proportional to the current value, so larger values produce larger changes

Write and interpret exponential functions g(x) = a * b^x from constant percent rate descriptions, identifying a as the initial value and b as the growth/decay factor

HSF.LE.A.1.c

HSF.LE.A.1.c: Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.