Batch's Boundless Boutique

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.

On each page is an expression to be simplified at the top and simplified expression at the bottom, but they do not match. Students can begin at any problem and must simplify the expression at the top and find the simplified expression that matches their work on the bottom of a different page. Then students simplify the expression found at the top of that page, and so on. It makes one giant circuit so it doesn't matter where students start. This works great with students working in small groups.

Students are given 6 different trigonometric functions containing either sine or cosine as well as 21 leaves with characteristics describing amplitude, period, reflection, vertical shift, and range. They are to match each leaf with the appropriate tree. This can be used to assess students’ understanding of the content before graphing or as a review before a test.