Maryland Math F.LE.B.5.a

MathGrades 9–12LINEAR, QUADRATIC, AND EXPONENTIAL MODELS

The Standard

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

Interpret the parameters in a logistic function in terms of a context.

Maryland College and Career Ready Standards for Mathematics (2025) · Interpret expressions for functions in terms of the situation they model.

Teacher's field guide

What Students Need to Do: Students connect the numbers in a logistic formula to a real situation. They explain the upper limit, how quickly the count rises, and what the formula says about the starting count or halfway time.
What Mastery Looks Like: Given P(t)=800/(1+e^(-0.4(t-6))) for signups after t weeks, a student explains that 800 is the limit and predicts 400 signups at week 6. They explain that 0.4 affects how sharply signups rise, not a fixed weekly percentage.
Common Misconceptions: Students may treat 800 as the starting count or assume the count reaches exactly 800. They may call week 6 the final week or read 0.4 as a constant 40% weekly increase.
How to Assess It: Exit ticket: A school models club signups by P(t)=600/(1+e^(-0.5(t-4))), where t is days. Explain what 600, 4, and 0.5 mean, then find P(4).

Lesson moves

Give pairs printed signup graphs with equations; have them place sticky notes at each limit, halfway time, and steepest point.
Ask partners: If signups reach 400 at week 6 and level off near 800, why is week 6 not the end?
Play a match-up game with logistic equations and cards showing signup limits, halfway weeks, and growth-speed values.
Show a library signup forecast P(t)=800/(1+e^(-0.4(t-6))), with t in weeks; ask when half the projected signups occur.

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