F-BF - Domain
Building Functions
High School Functions · Common Core State Standards · Common Core 2010
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
functionrelationshipquantitiesexpressionrecursive processcalculationcontextsequencearithmetic operationstemperatureheightatmosphereweather balloontimeinverse functionsexponentslogarithmscompositiongraphtableinvertible functiondomain
Skills
- Identify (function relationships) #dok1
- Recognize (sequence as a function) #dok1
- Write (a function expression) #dok2
- Determine (explicit expressions or recursive processes) #dok2
- Combine (functions using arithmetic operations) #dok3
- Compose (functions to form new functions) #dok3
- Verify (inverse functions via composition) #dok4
- Produce (invertible functions from non-invertible functions) #dok4
Learning Targets
- I can identify whether a sequence is a function. #dok1
- I can recognize a function and its relationship between two quantities. #dok1
- I can write a function that describes a relationship between two quantities. #dok2
- I can determine explicit expressions, recursive processes, or steps for calculation. #dok2
- I can combine standard functions using arithmetic operations. #dok3
- I can compose functions to build new models. #dok3
- I can verify by composition that one function is the inverse of another. #dok4
- I can produce an invertible function from a non-invertible function by restricting the domain. #dok4
Big Ideas
- Functions describe relationships between different quantities and can be represented in various forms.
- Inverse functions and composition allow for building complex functions from simpler ones.
Essential Questions
- What determines the type of function necessary to model a specific relationship?
- How can recursive processes be used to define sequences as functions?
- In what ways can arithmetic operations be used to combine functions?
- How are functions composed, and what applications do composed functions serve?
- How can inverse functions be verified and produced from a non-invertible function?