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Surds+1+number+sets.+simplify+surds

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  • 1. Title: Mar 3­04:08 p.m. (1 of 25)
  • 2. Surds By the end of the lesson you should be able to: • Distinguish between  the different sets of numbers. • Simplify expressions involving surds. • Rationalise fractions with surds in the denominator.Title: Mar 3­04:08 p.m. (2 of 25)
  • 3. Sets of numbers   = {1, 2, 3, 4,...}  Natural numbers = {...,­2,­1,0 , 1 ,2 ,3,...} Integer numbers = {any number that can be expressed as a fraction} Rational  numbers 0.2 50  terminating decimals whole  recurring decimals numbers fractionsTitle: Mar 3­04:08 p.m. (3 of 25)
  • 4. Irrational numbers: cannot be expressed as  fractions π 4.01001000100001... =  ∪ {Irrationals} Real numbersTitle: Mar 3­04:08 p.m. (4 of 25)
  • 5. Title: Mar 3­04:08 p.m. (5 of 25)
  • 6. Circle the irrational numbers: 1.3Title: Mar 3­04:08 p.m. (6 of 25)
  • 7. Rational or irrational?Title: Mar 3­04:08 p.m. (7 of 25)
  • 8. n = 3 Ring any of these which are rational when Title: Mar 3­04:08 p.m. (8 of 25)
  • 9. When a root cannot be found exactly, then the  root is called a surd. Surds or RadicalsTitle: Mar 3­04:08 p.m. (9 of 25)
  • 10. Irrational numbers on the number lineTitle: Mar 3­04:08 p.m. (10 of 25)
  • 11. Title: Mar 3­04:08 p.m. (11 of 25)
  • 12. Basic rules: If a and b are positive:Title: Mar 3­04:08 p.m. (12 of 25)
  • 13. Title: Mar 3­04:08 p.m. (13 of 25)
  • 14. Simplify:Title: Mar 3­04:08 p.m. (14 of 25)
  • 15. Title: Mar 3­04:08 p.m. (15 of 25)
  • 16. Title: Mar 3­04:08 p.m. (16 of 25)
  • 17. end first lesson:Title: Mar 3­04:08 p.m. (17 of 25)
  • 18. Title: Mar 3­04:08 p.m. (18 of 25)
  • 19. Title: Mar 3­04:08 p.m. (19 of 25)
  • 20. Title: Mar 3­04:08 p.m. (20 of 25)
  • 21. Simplification of surdsTitle: Mar 3­04:08 p.m. (21 of 25)
  • 22. Operations with surdsTitle: Mar 3­04:08 p.m. (22 of 25)
  • 23. Multiplication of surdsTitle: Mar 3­04:08 p.m. (23 of 25)
  • 24. http://www.mymaths.co.uk/gold/Alevel/core1/indices/indices4Surds1.html Surds worksheet.docTitle: Mar 3­04:08 p.m. (24 of 25)
  • 25. http://www.maths­bingo.com See next exercise at the end of the lessonTitle: Mar 3­04:08 p.m. (25 of 25)
  • 26. Attachments Surds worksheet.doc