Unpacked Content
Knowledge
Students know:
- Techniques to find key features of functions when presented in different ways.
- Techniques to convert a function to a different form (algebraically, graphically, numerically in tables, or by verbal descriptions).
Skills
Students are able to:
- Accurately determine which key features are most appropriate for comparing functions.
- Manipulate functions algebraically to reveal key functions.
- Convert a function to a different form (algebraically, graphically, numerically in tables, or by verbal descriptions) for the purpose of comparing it to another function.
Understanding
Students understand that:
- Functions can be written in different but equivalent ways (algebraically, graphically, numerically in tables, or by verbal descriptions).
- Different representations of functions may aid in comparing key features of the functions.
Vocabulary
- Algebraic expressions
- Polynomial functions
- Trigonometric functions (sine and cosine)
- Logarithmic functions
- Exponential functions
- Radical functions
- General piecewise functions
