Recitation 24

Recitation 24 (Graphical Antiderivatives)

Objectives:

• Students will be able to graph an antiderivative given the graph of a function.
• Students will recognize that the graph of the antiderivative gives the value of the area under a function.

Lesson Plan

• [ (5 minutes)] Welcome the class to recitation. Ask students if they have filled in the notes section of the packet. Tell students that they should be filling in the notes section before coming to recitation.

• [ (15 minutes)] Have students do problem 1. Again, some of the copies seem to have not been done properly. You should project an image on the board so that students can fill in values. Some students are going to try and find an equation for the line. Tell the students that the purpose is not to find an equation for the line, but to use geometry.

• [ (15 minutes)] Have students work through problem 2.

• [ (10 minutes)] Have students work on problem 3. Some students will get it right away. Other students are going to need you to explicitly show them the steps. Students will have a particularly hard time with part b when $F(0)=-2$.

• [ (15 minutes)] Have students work through problem 4. You should encourage them to graph the functions and then look at the shapes.

• [ (10 minutes)] Have students do problem 6.

• [ (5 minutes)] Go through problem 5 with the class, take your time and really show them what is going on. Many of your students will keep mixing $f(x)$ and $f(x)$. Make sure to really highlight what you are working with and what it means. I think a thorough explanation of this problem really will take 15 minutes.