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Learning Goal
‹3 of 3 in this group
Recognize constant percent rate situations
Start lessonBegins with Percent rate and growth factors · Slides
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
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.
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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.
What you'll learn
- 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
Review first:
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
1
Percent rate and growth factors
✓ Start here2
Recognize language and write functions
Practice
Try it on your own
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