These 18 task cards are a great way to challenge your Algebra students and assess their proficiency in dividing by a monomial, long division and synthetic division. There are 18 cards in total. The last five problems students must decide which method they will use to divide. The answers are included in two forms: as a list and also to be copied front and back for immediate feedback. This frees up more of the teacher’s time to walk around and help those students who need more help.
Suggested use of task cards: Print one set of task cards. Pair students together and set up a rotation so that each pair 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. Time the students (two to three minutes) and then have them switch the card by passing it to another pair of students in the rotation. With 18 task cards (unless you have a class of 36 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.
Common Core Standards
Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) +r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.
Check out the preview file to see the problems.