1.1 Introducing Calculus: Can Change Occur at an Instant?
- Syllabus
- 2020
- Topic
- 1.1
- Level
- —
CHA-1.A—Interpret the rate of change at an instant in terms of average rates of change over intervals containing that instant
- CHA-1.A Interpret the rate of change at an instant in terms of average rates of change over intervals containing that instant.
- CHA-1.A.1 Calculus uses limits to understand and model dynamic change.
- CHA-1.A.2 Because an average rate of change divides the change in one variable by the change in another, the average rate of change is undefined at a point where the change in the independent variable would be zero.
- CHA-1.A.3 The limit concept allows us to define instantaneous rate of change in terms of average rates of change.
- Enduring understanding CHA-1: Calculus allows us to generalize knowledge about motion to diverse problems involving change.
Objective notes
1 learning objectiveConceptAP Calculus AB