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Radical, Dude

This guide covers essential mathematical concepts, including the radical rules that govern perfect squares, partial perfect squares, and the elimination of fractions under radicals. Learn about the geometric mean with a focus on positive numbers and similar triangles. Special emphasis is placed on remembering key trigonometric ratios using mnemonic devices like SOHCAHTOA. The agenda includes concept reviews, homework examples, and cumulative practice quizzes to reinforce learning. Perfect for mastering chapters on radicals, geometric means, and trigonometry.

ferdinand-joshua
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Radical, Dude

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  1. Radical, Dude • Thou shall not leave perfect squares under the radical! • Thou shall not leave partial perfect squares under the radical! • Thou shall not leave fractions under a radical! • Thou shall not leave radicals in the denominator!

  2. Geometric Mean – for any positive numbers a and b, the positive number x such that: b, x can not equal zero Geometric Mean

  3. Geometric Mean/Similar Triangles a b x z y c a=5, b=12

  4. Special Right Triangles 30 2x x x x

  5. Trigonometry 54 Hypotenuse Adjacent Side Opposite Side

  6. How do I remember all this? S O H C A H T O A Some Old Horse Caught Another Horse Taking Oats Again Sin Opp Hyp Cos Adj Hyp Tan Opp Adj

  7. Example

  8. Example

  9. Example

  10. Example

  11. Agenda • Concept Review • Homework Review • Practice, Practice, Practice • Homework

  12. Example

  13. 8-3 Enrichment

  14. 8-3 Study Guide

  15. 8-3 Practice

  16. 8-3 Practice

  17. 8-3 Practice

  18. 8-3 Practice Quiz

  19. 8-1 - 8-3 Practice Quiz

  20. 8-1 - 8-3 Practice Quiz

  21. 8-4 Study Guide

  22. 8-4 Practice

  23. 8-4 Practice

  24. Example

  25. Practice…

  26. Practice…

  27. Homework • Chapter 8 Cumulative Review • Chapter 8 Practice Test • Apollo 11 Extra Credit

  28. Answers Ahead

  29. Fill in the missing Information. C a b x B A z y c

  30. Fill in the missing Information.

  31. Fill in the missing Information. 45

  32. Fill in the missing Information. 60

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