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- 1. Radicals are rad!
- 2. I wonder if they can be simplified? Hmmmmm….
- 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.
- 5. Purpose: <ul><li>To be able to compute radicals and express the answer in simplest radical form </li></ul><ul><li>To do well on their assessments </li></ul><ul><li>quizzes </li></ul><ul><li>chapter test </li></ul><ul><li>final exam </li></ul><ul><li>CRCT </li></ul>Yeah! Way cool!
- 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
- 8. Is 8 a perfect square? No o o o o o !
- 9. What symbol is used to represent square root?
- 10. Name the parts: radical, radical sign,or square root sign
- 11. Name the parts: radicand
- 12. Simplify the following: 11 15 7 17
- 13. What if the radicand is not a perfect square? Huh?
- 14. 1) Rewrite the radicand using prime factorization. That’s easy!
- 15. 2) Use the following theorem: Why separate here? Because
- 16. 3) Replace the perfect square radicands with the whole number equivalent. Sikes!
- 17. Is Simplified? Yes! Because the radicand has no perfect square factors.
- 18. That was way easy! Give me another one to work out. Simplify:
- 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!

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