Bell Ringer
Review
 Precalculus
 Slope
 Equation of a Line
 Secant Line vs. Tangent Line (video)
 Tangent Line
 How can the slope of one point be found?
 Equation of a Tangent Line (video)
 Derivative (video) (checkpoints)
 Finding the derivative of polynomials using limits (example)
 Basic Differentiation Rules
Lesson
Exit Ticket
 Posted on the board at the end of the block.
Homework

Lesson Objectives
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.
