Bell Ringer- 10 minutes to ask questions and prepare for the quiz!
Review- Secant vs. Tangent Line
- Definition of Derivative
- Importance of Derivative
- What does it allow us to do?
- Drawing a Tangent Line on a Graph
- Basic Differentiation Rules
- Constant Rule
- Power Rule
- Sum and Difference Rule
Lesson
Exit Ticket- Exit Ticket will be posted on the board in class.
| Lesson Objective(s)- Using the derivatives, how can these be applied to solve problems?
Standard(s) - APC.5
- Investigate derivatives presented in graphic, numerical, and analytic contexts and the relationship between continuity and differentiability.
- The derivative will be defined as the limit of the difference quotient and interpreted as an instantaneous rate of change.
- APC.6
- The student will investigate the derivative at a point on a curve.
- Includes:
- finding the slope of a curve at a point, including points at which the tangent is vertical and points at which there are no tangents
- using local linear approximation to find the slope of a tangent line to a curve at the point
- defining instantaneous rate of change as the limit of average rate of change
- approximating rate of change from graphs and tables of values.
Mathematical Practice(s)- #1 - Make sense of problems and persevere in solving them
- #2 - Reason abstractly and quantitatively
- #3 - Construct viable arguments and critique the reasoning of others
- #4 - Model with mathematics
- #8 - Look for and express regularity in repeated reasoning
In-class Help RequestIn-class Help Request |
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