3. “ Simplified” means that there are no perfect square factors in the radicand.
4. Objective: Given 10 different radicals, students will be able to simplify at least 9 of them correctly.
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6. Prior knowledge: Name the perfect squares from 1 to 400. 1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400
7. Why are they called perfect squares? Because they are the areas of squares. 1 1 2 2 3 3 A = 1·1 A = 1 A = 2·2 A = 4 A = 3·3 A = 9 1 is a perfect square 4 is a perfect square 9 is a perfect square
18. That was way easy! Give me another one to work out. Simplify:
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20. Check for Understanding: Thumbs up or Thumbs down To simplify a radical, first rewrite the radicand into prime factorization. Why?
21. Guided practice: Simplify the following radicals. Fold a paper into fourths. Number each section from 1 to 4. Put the answer to each question in each of the sections. (Fill the section.) On the count of 3, show me the answer to #1. On the count of 3, show me the answer to #2. On the count of 3, show me the answer to #3. On the count of 3, show me the answer to #4.
22. You are now ready to add and subtract radicals!