Bell Ringer
Find the critical values for the following function: f(x) = sin(x) + cos(x) on the interval [0, 2π]. π / 4 5π / 4 π / 4, 5π / 4 7π / 4 none of the above
Find all the relative extrema for the following function: f(x) = sin(x) + cos(x) on the interval [0, 2π]. Relative Max: (5π / 4, sqrt(2)); Relative Min: (π / 4, sqrt(2)) Relative Max: (π / 4, sqrt(2)); Relative Min: (π / 4, sqrt(2)) Relative Max: (π / 4, sqrt(2)); Relative Min: (5π / 4, sqrt(2)) Relative Max: (π / 4, sqrt(2)); Relative Min: (5π / 4, sqrt(2))  none of the above
Review Prerequisites
 Interval Notation
 Maxima/Minima
 Zero Product Property
 Finding Minima/Maxima Graphically
 Extrema
Lesson Rolle's Theorem (pronounced "rawls")
 Connecting Two Points without an Extrema Activity
 Walking in a Circle Activity
 Mean Value Theorem Checkpoints (page 176177)
Exit Ticket Posted on the board at the end of the class.
 Lesson Objective(s) How can Rolle's Theorem be used and applied to solve problems?
 How can Mean Value Theorem be used and applied to solve problems?
Standard(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
 #5  Use appropriate tools strategically
 #6  Attend to precision
 #7  Look for and make use of structure
 #8  Look for and express regularity in repeated reasoning
Past Checkpoints  Extrema (page 169)
 A  #4
 B  #6
 C  #18
 D  #22
 E  #34
