- 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
- Pre-calculus
- 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
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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.
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