Assess your math students’ proficiency in finding removable points of discontinuity (holes) and non-removable points of discontinuity (vertical and horizontal asymptotes). There are 15 cards in total. I’ve included the answers and my work to make it easier for you to grade. I’ve also included a Graphing Rational Functions Steps to Success worksheet for your students to use. Students will practice factoring and graphing as well.
Suggested use of task cards: Print one set of task cards. Pair/group students together and set up a rotation so that each pair/group knows who they will hand off their task card to. Give each pair a task card and each student should have his/her own recording sheet to show work and record their answers. You can also give each pair/group or individual student a Steps to Success worksheet to serve as a guide when working on the problems.
Time the students (five or six minutes) and then have them switch the card by passing it to another pair of students in the rotation. With 15 task cards (unless you have a class of 30 or more), you’ll have task cards left over. I usually give the first group a task card from my pile of left-overs and then collect the last task card from the last group in the rotation so that the students don’t have to constantly get up from their seats. This will vary depending on your class size, seating arrangements, class configuration, etc.
You can also print a set per small group (of 3 or 4 students) and have them go through the task cards together. It’s completely up to you.
I encourage you to have several copies of the answers printed so that if they get stuck, you can rotate these too so that you can walk around and help those that are really struggling.
Common Core Standards:
HSF-IF.C.7d (+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.