Day 13 - Secant and Tangent Lines/Derivatives - 01.26.15

  • New Seats! Sit in a different pod!
  • Unit 2 Test on Friday, 2/13!

Bell Ringer

  1. Find the slope of the line based on these two points: (0,1) and (3,-4).

    1. 5/3

    2. 3/5

    3. -3/5

    4. -5/3

    5. none of the above

  2. Find the equation of the line based on these two points: (0,1) and (3,-4).

    1. none of the above

  3. If the slope of a line is 4 and a point on the line is (4,-3), what is the equation of the line?

    1. none of the above



Exit Ticket
  • Posted on the board at the end of the block
Lesson Objectives
  • How are tangent lines related to secant lines?
  • How are derivatives related to tangent lines?
  • How are derivative calculated?

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.7
    • Analyze the derivative of a function as a function in itself.
      • Includes:
        • comparing corresponding characteristics of the graphs of f, f', and f''
        • ​defining the relationship between the increasing and decreasing behavior of f and the sign of f'
        • ​translating verbal descriptions into equations involving derivatives and vice versa
        • defining the relationship between the concavity of f and the sign of f "
  • APC.9
    • Apply formulas to find derivatives.
      • Includes:
        • derivatives of algebraic and trigonometric functions
        • derivations of sums, products, quotients, inverses, and composites (chain rule) of elementary functions
        • derivatives of implicitly defined functions
        • higher order derivatives of algebraic and trigonometric functions

Past Checkpoints
  • N/A