Batch's Boundless Boutique

When to Use Use this activity as an introduction to the unit on curve  sketching before doing any of the algebra to determine  intervals of increasing, decreasing, and so on. How to Use Put students in pairs so they have one another to discuss the  questions with. This is an excellent resource to use as a point  of discussion and for students to notice patterns.

Students are to use their knowledge of curve sketching, first derivatives, and second derivatives to determine various characteristics of a graph. Students must use both equations and graphs to glean information. This can be used as a review towards the end of the unit or as an assessment.

Use this activity as an introduction to continuity and discontinuity. Have students cut out all of the graphs and then put them in to groups based on what they notice. Have them come up with a label for each group. Share out their findings. Then give them labels “Continuous”, “Point Discontinuity”, “Jump Discontinuity”, and “Infinite Discontinuity”. Have them rearrange their graphs and share out. This works great as a partner activity. It can also be used to discuss limits in Calculus.

When to Use I’ve used this as a way to put together critical numbers,  critical points, intervals of increasing and decreasing, points  of inflection, and concavity as part of the same problem,  resulting in sketching the curve. When I use this resource, I  usually do the first curve with the students and have them do  the second one on their own. How to Use When I use this resource, I usually do the first curve with the  students and have them do the second one on their own, so as  more of an i

Students are to sketch the equation(s) and use the graphic organizer to set up the appropriate integral(s) to find the volume of the solid created when rotating the curve around an axis. Students have trouble when they have to set up two integrals. They also have trouble recognizing when to put the equation in terms of y.