Day 15 - Secant and Tangent Lines - 09.08.14

Bell Ringer
  • New Chapter = New Table!
  • If you need to take/finish your test, please send me an email when you can take it and I will put it in the test center for you.

  1. What is the equation of the line with the following coordinates: (2, 3) and (3, -8)

    1. y = -11x + 25

    2. y = 11x - 25

    3. y = 11x + 25

    4. y = -11x - 25

    5. none of the above

  2. What is the equation of the line formed by x = 2 and x = 5 on the function f(x) = x2 - 1?

    1. y = 7x - 11

    2. y = 7x + 11

    3. y = -7x - 11

    4. y = -7x + 11

    5. none of the above

  3. What is the equation of the secant line formed by x = 0 and x = 3 on the function f(x) = x3 - x + 1?

    1. y = 8x + 1

    2. y = -8x - 1

    3. y = 8x - 1

    4. y = -8x + 1

    5. none of the above

  4. What is the equation of the tangent line at x = 2 on the function f(x) = x2 +x + 1?

    1. y = 5x - 3

    2. y = 5x + 3

    3. y = -5x - 3

    4. y = -5x + 3

    5. none of the above
Review
  • N/A
Lesson
  • Finding the equation of a tangent line
  • Tangent Line Practice
    • page 103 #1-3 (odds)
    • page 103 #5-9 (odds)
    • page 103 #25-31 (odds)
    • page 103 #33-37 (odds)
    • page 103 #39-41 (odds)
  • Derivative
    • page 103 #11-23 (odds)
Exit Ticket
  • Find the equation of the tangent line given in class.
    • Use the assignment submission to submit your response.
Lesson Objective(s)
  • How are secant lines and tangent lines related?
  • How do you find the equation of a tangent line?
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.

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
  • #7 - Look for and make use of structure