Sunday, April 27, 2014

Week 18 (28/4/2014 - 2/5/2014)

Date28/4/2014 (Monday)
Time7.05 a.m. -8.15 a.m.
Class6AS
SubjectMathematics T
TopicMaclaurin Series
Learning AreaMaclaurin Series
Learning OutcomeStudents should be able to find
  1. the first and second derivative of a function,
  2. the first four terms of the Maclaurin series of the function.
Activities
  1. Discussing Example 19 (textbook, page 168)
  2. Working out question no. 2 (textbook, page 170)
Teaching Aids
    STPM Mathematics T (Penerbitan Pelangi, Paper 2)
      ReflectionStudents have been able to the first derivative of a function, however, finding the second derivative seemed to be an uphill task for 6 out of 7 students. As a remedial action, the homework for today includes a similar question (no. 3, textbook, page 170) which will be discussed tomorrow.


      Date29/4/2014 (Tuesday)
      Time8.50 a.m. - 9.25 a.m.
      Class6AS
      SubjectMathematics T
      TopicNumerical methods
      Learning AreaNumerical solution of equations
      Learning OutcomeStudents should be able
      1. to locate a root of an equation approximately by means of graphical considerations and by searching for a sign change, and
      2. to use an iterative formula of the form xn+1 = f (xn) to find a root of an equation to a prescribed degree of accuracy.
      Activities
      1. Discussing Examples 1-5 (textbook, page 177)
      2. Working out questions no. 1a, 1b and 1c (textbook, page 178)
      Teaching Aids
      1. STPM Mathematics T (Penerbitan Pelangi, Paper 2)
      2. Numerical solutions' notes
      ReflectionWe only managed to discussed the examples; working out the questions will be done during the next class.


      Date30/4/2014 (Wednesday)
      Time9.45 a.m. - 10.55 a.m.
      Class6AS
      SubjectMathematics T
      TopicNumerical methods
      Learning AreaNumerical solution of equations
      Learning OutcomeStudents should be able to use an iterative formula of the form xn+1 = f (xn) to find a root of an equation to a prescribed degree of accuracy.
      ActivitiesWorking out questions no. 1a, 1b and 3 (textbook, page 178)
      Teaching Aids
      1. STPM Mathematics T (Penerbitan Pelangi, Paper 2)
      2. Numerical solutions' notes
      ReflectionThe main risk of using the iterative method: a student might be pondering too long, resulting in confusion when trying to identify x1, x2, x3 and so on. Question no. 4 is given as a homework to help them to hone the necessary skill.

      1/5/2014: Cuti Hari Pekerja

      Date2/5/2014 (Friday)
      Time7.05 a.m. - 7.40 a.m.
      Class6AS
      SubjectMathematics T
      TopicNumerical methods
      Learning AreaThe Newton-Raphson method
      Learning OutcomeStudents should be able to use the Newton-Raphson formula of the form
       xn+1 = xn − [f ( xn) ∕ f ' ( xn)] , f ' ( xn) ≠ 0
       to find a root of an equation to a prescribed degree of accuracy  .
      ActivitiesWorking out questions no. 1, 2 and 3 (textbook, page 185)
      Teaching Aids
      1. STPM Mathematics T (Penerbitan Pelangi, Paper 2)
      2. Newton-Raphson method
      3. Newton's method on wikipedia.com
      4. Newton's method in PDF format 
      ReflectionWorking out questions no. 2 and 3 has yet to be completed; the related discussion will be continued during the next class.

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