# CA II.3 The Meaning of the Derivative

**Purpose**: To further develop students ability to interpret the meaning of the derivative both in mathematical terms and in application situations.

**Classroom Procedure**: Students work on all of these questions in small groups. It is then important to have a whole class discussion - this could happen in the same class or you could collect all of the activities and have a whole class discussion in the next class. Students struggle in particular with Q1.

**Ideas this Activity Builds On**: Students work on the derivative/instantaneous rate of change in CA 2.1 and 2.2. Their understanding of the meaning of the derivative and its connection to average rates of change.

**Introduction/Motivation of the Activity**: This activity can be introduced as a check for students that they are understanding the meaning of the derivative.

**Need to Establish by the End of Activity/Wrap-Up**: It is important to highlight to students that if they struggled with this activity then they are not comfortable with the meaning of the derivative yet and they should work further/visit office hours etc to improve their understanding.

**Additional Notes**: There are no synthesis questions for this activity.