Day 28 - Unit 2 Overview - 09.24.15

  • N/A

Bell Ringer
  • Posted on the board.

  • Pre-calculus
    • Slope
    • Equation of a Line
    • Secant Line vs. Tangent Line (video)
  • Tangent Line
    • How can the slope of one point be found?
    • Finding the derivative of polynomials using limits (example)
  • Basic Differentiation Rules
    • How can derivatives be calculated using basic differentiation rules?


Exit Ticket
  • Posted on the board at the end of the block.

  • N/A

Lesson Objectives
  • Unit 2 Overview

In-Class Help Requests

  • 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.
  • APC.9
    • Apply formulas to find derivatives.
      • Includes:
        • derivatives of algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions
        • derivations of sums, products, quotients, inverses, and composites (chain rule) of elementary functions
        • derivatives of implicitly defined functions