Unpacked Content
Knowledge
Students know:
- How to graph the families of functions.
- How to factor, simplify, and rationalize functions.
- How to evaluate functions at a given input value.
Skills
Students are able to:
- Identify continuity and discontinuity (if discontinuous, identify the type).
- Calculate limits.
Understanding
Students understand that:
- Functions have various types of continuity and discontinuity.
- That limits can be determined numerically, graphically, and algebraically.
- converging means that a limit exists, while diverging means that a limit does not exist.
Vocabulary
- Limit
- Convergent
- Divergent
- Continuous function
- Discontinuous function
- Discontinuity (infinite, jump, removable)
