### Day 19 - Quiz 3 - 09.13.14

Bell Ringer
• 10 minutes to ask questions and prepare for the quiz!

Review
• Secant vs. Tangent Line
• Slope
• 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
• Quiz 3

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