Algebra

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Algebraic Expressions, Factorizing, Simplification and Expanding with Examples.

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Algebra

  1. 1. J. MBEDU 201246302 Authentic learning task for grade 10’s [Algebraic Equations] 2014/04/10J. MBEDU 201246302 1
  2. 2. Algebraic Equations
  3. 3. Basic Description of Equation constant variable exponent Equal Sign
  4. 4. Factorizing
  5. 5. Find factors of 8 1x8 2x4 4x2 8x4
  6. 6. Expanding
  7. 7. "Expanding" means removing the ( ). but you have to do it the right way! ( ) are called “Parentheses” or “Brackets” In Algebra putting two things next to each other usually means to multiply.
  8. 8. ℎ ℎ
  9. 9. Simplifying
  10. 10. One of the big jobs we do in Algebra is "simplification What is the Simplest Form? write it in the most compact or efficient manner, without changing the value of the expression. In general, it is simpler if it is easier to use, Simplifying uses much the same skills as solving equations.
  11. 11. Expand the top part first. Group the like (same) terms where possible
  12. 12. Real World Relevance Word Problems
  13. 13. 1. Lets say you need to buy a NEW Xbox 360. You have R800 to spend on everything. You know a new system costs R400 and extra controller R40. Assuming a game costs R60 how many games could you get?
  14. 14. 2. Bob has R1,000 budgeted to pay for a bonus for his assistant, Carol. He wants to pay her such that after the business pays her and pays for the taxes for her, he has spent exactly R1,000. The business must pay taxes in the amount of 7.45% of her bonus. How much of a bonus will she get? Using algebra, we can say that Carol's bonus (C) plus the company's tax liability (T) equals R1,000. C + T = 1000 We also know that the company's tax liability (T) equals 7.45% of Carol's bonus (C), so; T = 0.0745 x C Substituting, C + (0.0745 x C) = 1000 C = 930.67
  15. 15. To Attempt the next Questions You have to be able to: 4. Real world Problems
  16. 16. Multiple Choice Questions on Factorization the Expressions
  17. 17. A. C. D. B.
  18. 18. A. C. D. B.
  19. 19. A. C. D. B.
  20. 20. A. C. D. B.
  21. 21. A. C. D. B.
  22. 22. Multiple Choice Questions on Expanding the Expressions
  23. 23. A. C. D. B.
  24. 24. A. C. D. B.
  25. 25. A. C. D. B.
  26. 26. A. C. D. B.
  27. 27. A. C. D. B.
  28. 28. Multiple Choice Questions on Simplifying the Expressions
  29. 29. A. C. D. B.
  30. 30. A. C. D. B.
  31. 31. A. C. D. B.
  32. 32. A. C. D. B.
  33. 33. A. C. D. B.
  34. 34. Real World Relevance Word Problems
  35. 35. A. C. D. B. 1. In the Class of Professional 3A we have an unknown number of students who Passed the first assessment given that the total number of all students participated is 5 (five) times the unknown number of students who failed. Now determine the number of students failed if 55 Students Passed.
  36. 36. A. C. D. B. 2. Nomcebo and Samukelisiwe are carrying a huge bottle of Milk, they then decide to share the Milk but they don’t have a measuring cylinder Nomcebo Decide to pour the milk in her bottle measured 10 litres which 5 (five) times smaller than the huge bottle of milk.
  37. 37. A. C. D. B. 3. In the Class of Professional 3A we have an unknown number of students who Passed the first assessment given that the total number of all students participated is 5 (five) times the unknown number of students who failed. Now determine the number of students Passed if 95 Students Failed.
  38. 38. A. C. D. B. 1. In the Class of Professional 3A we have an unknown number of students who Passed the first assessment given that the total number of all students participated is 5 (five) times the unknown number of students who failed. Now determine the number of students failed if 55 Students Passed.
  39. 39. The next 3 slides contain videos which can help you out for the next 9 (nine) Long Questions
  40. 40. Factorizing Expressions Video
  41. 41. Real World Expressions Video
  42. 42. Simplifying Expressions Video
  43. 43. Since you watched the 3 Videos I now Conclude that you can Attempt every Algebraic Question
  44. 44. Now attempt these Long Questions and check your Ability Mixed Questions
  45. 45. For the Long Questions Hand Written Answers
  46. 46. 1.
  47. 47. 2.
  48. 48. 3.
  49. 49. 4.
  50. 50. 5.
  51. 51. 6.
  52. 52. 7.
  53. 53. 8.
  54. 54. 9.
  55. 55. FIND THE ATTACHED ASSIGNMENT WHICH IS DUE 3 DAYS FROM TODAY Algebraic_Standard_Form.docx
  56. 56. FOR YOUR ATTENTION
  57. 57. References https://secure.tes.co.uk/myAccountSettings.aspx www.yourteacher.com http://www.tes.co.uk/teaching- resource/ALGEBRAIC-EXPRESSIONS-6422801/

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