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This activity is designed to be used for groups of 4 or 2 members. It practices solving radical equations, resulting in quadratics. The radical equations contain:

  • quadratic function under a radical symbol
  • a radical expression on one side of the equation and a number or/and linear function on the other side
  • radical expressions on the both sides of the equations (“radical equals radical”)

All the equations are set up to square both sides and require squaring once. Extraneous solutions are possible.

This group activity focuses on matching cards to their matching mini – cards.

Activity Directions: Partners are given two sets of different types radical equations (16 cards total). Each card contains two radical equations. Each member of a group chooses two or four cards of each set. The partners of a group look for their answers on 32 mini- cards given. They match each card to its two matching mini- cards. Students record their findings in tables on a group response sheet and show work on student recording sheets provided (solutions to the problems and verifying the solutions). This activity could be turned into competition between the groups. The first team that successfully completes all wins.

Answer keys are included.

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