 New Seats!
 Remediation Procedure
 Class Radio
 Unit 1 Test
 Questions
Bell Ringer
What is a secant line? the instantaneous rate of change the average rate of change the slope of a line the equation of a line straight line joining two points of a graphed function
What is a tangent line? the instantaneous rate of change the average rate of change the slope of a line the equation of a line straight line based on the slope at one point
Find the slope of the line based on these two points: (0,1) and (3,4). 5/3 3/5 3/5 5/3 none of the above
Find the equation of the line based on these two points: (0,1) and (3,4).
none of the above
If the slope of a line is 4 and a point on the line is (4,3), what is the equation of the line?
 none of the above
Review
 Precalculus
 Slope
 Equation of a Line
 Secant Line vs. Tangent Line (video)
Lesson Equation of a Tangent Line (video)
 Derivative (video)
Exit Ticket
 Posted on the board at the end of the block.
Homework

Lesson Objectives
 How can the slope of one point be found?
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.
