Unit 2: Chapter 2 - Limits and Derivatives
Duration of Days: 21
Students will understand the concepts of limits, continuity, derivatives, and applications of derivatives.
Students will apply limits and continuity in order to find the exact slope of a tangent line to a function (derivative) and apply derivatives to multiple types of functions.
Students will be able to demonstrate their knowledge of limits, continuity, and derivatives through collaboration with peers during class and performance on individual assessments.
| Lesson # | Lesson Title | Duration of Days |
|---|---|---|
| 1 | 2.1 The Tangent and Velocity Problems | 2 |
| 2 | 2.2 The Limit of a Function | 2 |
| 3 | 2.3 Calculating Limits Using the Limit Laws | 3 |
| 4 | 2.4 The Precise Definition of a Limit | 3 |
| 5 | 2.5 Continuity | 3 |
| 6 | 2.6 Limits at Infinity: Horizontal Asymptotes | 3 |
| 7 | 2.7 Derivatives and Rates of Change | 3 |
| 8 | 2.8 The Derivative as a Function | 2 |