Unit Overview:
In this unit, students will analyze data and apply the appropriate model for the data. Students will synthesize and generalize what they have learned about a variety of function families. They will further their knowledge with exponential functions to include solving exponential equations using logarithms. Students will explore the effects of transformations on graphs of diverse functions and derive the fact that all transformations are the same regardless of the type of function.
Enduring Understanding:
Essential Questions:
In this unit, students will analyze data and apply the appropriate model for the data. Students will synthesize and generalize what they have learned about a variety of function families. They will further their knowledge with exponential functions to include solving exponential equations using logarithms. Students will explore the effects of transformations on graphs of diverse functions and derive the fact that all transformations are the same regardless of the type of function.
Enduring Understanding:
- Linear, quadratic, exponential, and radical functions have a parent function
- Transformation rules applied to all types of function are consistent.
Essential Questions:
- Why do we compare functions over time?
- Why do we consider inverse functions?
- How can visuals be useful when analyzing data or functions?