Day 19 - Quiz 2.1 - 09.11.15 - Ozarka STEM

Calculus 1‎ > ‎S1 Calculus Lessons‎ > ‎Unit 2 - Differentiation‎ > ‎

Day 19 - Quiz 2.1 - 09.11.15

Update

Athlete of the Month

Bell Ringer

N/A

Review

Pre-calculus

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)

Tangent Line Graph

Derivative (video) (checkpoints)

Finding the derivative of polynomials using limits (example)

Basic Differentiation Rules

Constant Rule (video) (example)
Power Rule (video) (example)
Constant Multiple Rule (video) (example)
Sum and Difference Rule (video)
Derivative of Sine and Cosine Functions (checkpoints)

Lesson

Quiz 2.1

Exit Ticket

Posted on the board at the end of the block.

Homework

WNQ the following:

Product Rule (video)
Quotient Rule (video)

Lesson Objectives

Quiz 2.1

In-Class Help Requests

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.