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Print, laminate and cut out the cards (32 cards total – 4 cards per rational function group).
Each student gets one card. (Each card will have either a rational function, a pair of asymptotes, a card with domain, range, and y-intercept or a graph).
Let the students interact with each other for a time (I suggest 10-12 minutes), share the information from their card, and find a complete rational function group.
Let the students have 5-10 minutes in their group to fill out the card comparison student sheet.
In groups, have the students share out as to their thought processes on how they found their group. Have them emphasize the connections between the cards that justifies why their cards should be grouped.