F-LE - Domain
Linear, Quadratic, & Exponential Models
High School Functions · Common Core State Standards · Common Core 2010
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
linear functionsexponential functionsarithmetic sequencesgeometric sequencesmodelsgraphdescriptioninput-output pairstablelogarithmparameterscontext
Skills
- Distinguish (linear and exponential functions) #dok1
- Recognize (constant rate of change) #dok1
- Recognize (growth or decay by constant percent rate) #dok1
- Construct (linear and exponential functions) #dok2
- Interpret (parameters in a context) #dok2
- Observe (exponential versus other functions using graphs and tables) #dok3
- Solve (using logarithms in exponential models) #dok4
Learning Targets
- I can distinguish between situations modeled by linear and exponential functions. #dok1
- I can recognize when a quantity changes at a constant rate. #dok1
- I can construct linear and exponential functions given various types of data. #dok2
- I can interpret the parameters of linear and exponential functions in different contexts. #dok2
- I can observe how an exponentially increasing quantity eventually exceeds other types of growth using graphs and tables. #dok3
- I can solve for unknowns in exponential models using logarithms. #dok4
Big Ideas
- Linear and exponential functions model real-world phenomena differently.
- Understanding function parameters helps interpret real-life situations.
Essential Questions
- What distinguishes a linear function from an exponential function?
- How can you recognize a constant rate of change in a function?
- How can linear and exponential functions be constructed from data?
- In what ways can exponential growth surpass other types of growth?
- How do the parameters of a function translate into real-world contexts?