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Learning Goal
Part of: Distinguish linear and exponential functions — 2 of 3 group items
Recognize constant rate situations
HSF.LE.A.1.b
**HSF.LE.A.1.b**: Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
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HSF.LE.A.1.b: Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
What you'll learn
- Define "constant rate of change" as a fixed amount added (or subtracted) per unit interval, and connect this to the slope of a linear function
- Identify constant rate situations from verbal descriptions by recognizing key phrases such as "per hour," "each month," "for every," and "at a steady pace"
- Distinguish constant rate situations (linear) from constant percent rate situations (exponential) when both are described in words
- Write a linear function f(x) = mx + b from a constant rate description, identifying the rate as slope and the starting value as y-intercept
- Interpret the rate and initial value in context, including correct units (e.g., "dollars per month," "miles per hour")
- Evaluate the reasonableness of a linear model by considering whether a constant rate assumption makes sense for the given context
Prerequisites
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Task-sets
Learning resource • 1 task-sets