Play Group, Pair, Solo for practice with Rationalizing Denominators. I have found this exercise to be very beneficial. This topic requires a lot of computational skills and it helps students to have the support of classmates while developing these skills. Place students in groups of four. Write the problem on the overhead or board. Use problems that are more sophisticated, similar to numbers 5, 6, 7, & 8, on the practice page. Have each group complete the problem. Peer collaboration allows the students to feed off of one another and work at the problem until the group arrives at the correct answer. Now, split the groups so that there are two students in each group. Have the students work through another problem. Split the group again so that students are now working on their own and pose another problem. Check student answers.
This would be a good time for a quiz. The students have had a good deal of practice and will usually perform quite well on a quiz. Be sure to vary the directions when asking questions regarding Rationalizing Denominators. Students can become confused about what information they are being asked to find.
* Remind students that whenever there is a radical
in the denominator,
* Remind students to FOIL
when there are two binomial terms in the fractions. * Remind students how to find the reciprocal of an expression.
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