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.

      Sunday, April 20, 2014

      Week 17 (21-25/4/2014)

      21/4/2014 (Monday): Second Term Trial Exam (Chemistry)

      22/4/2014 (Tuesday): Second Term Trial Exam (Biology)

      23/4/2014 (Wednesday): Second Term Trial Exam (Mathematics T)

      24/4/2014 (Thursday): Second Term Trial Exam (MUET)

      25/4/2014 (Friday): Second Term Trial Exam (MUET)

      Sunday, April 13, 2014

      Week 16 (14-18/4/2014)

      Date14/4/2014 (Monday)
      Time8.15 a.m. - 9.25 a.m.
      Class6AS
      SubjectMathematics T
      TopicMaclaurin Series
      Learning AreaDifferentiation and integration of Maclaurin Series
      Learning OutcomeStudents should be able to perform differentiation and integration of Maclaurin Series.
      Activities
      1. Discussing Example 11 (textbook, page 163)
      2. Working out two questions originating from youtube.com
      Teaching Aids
      STPM Mathematics T (Penerbitan Pelangi, Paper 2)
      ReflectionStudents have been able to perform differentiation and integration of Maclaurin Series in the questions from youtube.com


      Date15/4/2014 (Tuesday)
      Time8.50 a.m. - 9.25 a.m.
      Class6AS
      SubjectMathematics T
      TopicMaclaurin Series
      Learning AreaDifferentiation and integration of Maclaurin Series
      Learning OutcomeStudents should be able to perform differentiation and integration of Maclaurin Series.
      Activities
      1. Discussing Example 11 (textbook, page 163)
      2. Working out Example 4 originating from cims.nyu.edu
      Teaching Aids
      STPM Mathematics T (Penerbitan Pelangi, Paper 2)
      ReflectionStudents have been able to perform differentiation and integration of Maclaurin Series in the question from cims.nyu.edu


      Date16/4/2014(Wednesday)
      Time9.45 a.m. - 10.55 a.m.
      Class6AS
      SubjectMathematics T
      TopicMaclaurin Series
      Learning AreaDifferentiation and integration of Maclaurin Series
      Learning OutcomeStudents should be able to perform differentiation and integration of Maclaurin Series.
      Activities
      1. Discussing Example 11 (textbook, page 163)
      2. Working out Example 5 originating from cims.nyu.edu
      Teaching Aids
      STPM Mathematics T (Penerbitan Pelangi, Paper 2)
      ReflectionStudents have been able to perform differentiation and integration of Maclaurin Series in the question fromcims.nyu.edu


      Date17/4/2014 (Thursday)
      Time9.45 a.m. - 10.55 a.m.
      Class6AS
      SubjectMathematics T
      TopicMaclaurin Series
      Learning AreaDifferentiation and integration of Maclaurin Series
      Learning OutcomeStudents should be able to use series expansions to find the limit of a function.
      Activity
      Working out questions no. 1c and 1d (page 169, textbook)
      Teaching Aids
      STPM Mathematics T (Penerbitan Pelangi, Paper 2)
      ReflectionStudents have been able to use series expansions to find the limit of a function in questions no. 1c and 1d.


      Date18/4/2014 (Friday)
      Time7.05 a.m. - 7.40 a.m.
      Class6AS
      SubjectMathematics T
      TopicMaclaurin Series
      Learning AreaDifferentiation and integration of Maclaurin Series
      Learning OutcomeStudents should be able to use Maclaurin's theorem to find the first three non-zero terms of a function.
      Activity
      Working out questions no. 1a and 1b (page 170, textbook)
      Teaching Aids
      STPM Mathematics T (Penerbitan Pelangi, Paper 2)
      ReflectionStudents have been able to use Maclaurin's theorem to find the first three non-zero terms of a function in questions no. 1a and 1b


      Sunday, April 6, 2014

      Week 15 (7-11/4/2014)

      Date7/4/2014 (Monday)
      Time7.05 a.m. - 8.15 a.m.
      Class6AS
      SubjectMathematics T
      TopicMaclaurin Series
      Learning AreaMaclaurin Series
      Learning OutcomeStudents should be able to use standard series to find the series expansions of the sums, differences, products, quotients and composites of functions.
      Activities
      1. Discussing Example 4 (textbook, page 159)
      2. Working out question no. 1a (textbook, page 162)
      Teaching AidsSTPM Mathematics T (Penerbitan Pelangi, Paper 2)
      ReflectionStudents have been able to use standard series to find the series expansions of the sums, differences, products, quotients and composites of functions in question no. 1a.


      Date8/4/2014 (Tuesday)
      Time8.50 a.m. - 9.25 a.m.
      Class6AS
      SubjectMathematics T
      TopicMaclaurin Series
      Learning AreaMaclaurin Series
      Learning OutcomeStudents should be able to use standard series to find the series expansions of the sums, differences, products, quotients and composites of functions.
      Activities
      1. Discussing Example 4 (textbook, page 159)
      2. Working out question no. 1b (textbook, page 162)
      Teaching AidsSTPM Mathematics T (Penerbitan Pelangi, Paper 2)
      ReflectionStudents have been able to use standard series to find the series expansions of the sums, differences, products, quotients and composites of functions question no. 1b.


      Date9/4/2014 (Wednesday)
      Time9.45 a.m. - 10.55 a.m.
      Class6AS
      SubjectMathematics T
      TopicMaclaurin Series
      Learning AreaMaclaurin Series
      Learning OutcomeStudents should be able to use standard exponential series to find the series expansions of the sums, differences, products, quotients and composites of functions.
      Activities
      1. Discussing Example 4 (textbook, page 159)
      2. Working out question no. 1c (textbook, page 162)
      Teaching AidsSTPM Mathematics T (Penerbitan Pelangi, Paper 2)
      ReflectionStudents have been able to use standard exponential series to find the series expansions of the sums, differences, products, quotients and composites of functions in question no. 1c.


      Date10/4/2014 (Thursday)
      Time9.45 a.m. - 10.55 a.m.
      Class6AS
      SubjectMathematics T
      TopicMaclaurin Series
      Learning AreaMaclaurin Series
      Learning OutcomeStudents should be able to use standard logarithmic series to find the series expansions of the sums, differences, products, quotients and composites of functions.
      Activities
      1. Discussing Example 10 (textbook, page 162)
      2. Working out questions no. 1a and 1b (textbook, page 162)
      Teaching AidsSTPM Mathematics T (Penerbitan Pelangi, Paper 2)
      ReflectionStudents have been able to use standard logarithmic series to find the series expansions of the sums, differences, products, quotients and composites of functions in questions no. 1a and 1b.


      Date11/4/2014 (Friday)
      Time7.05 a.m. - 8.15 a.m.
      Class6AS
      SubjectMathematics T
      TopicMaclaurin Series
      Learning AreaMaclaurin Series
      Learning OutcomeStudents should be able to use standard hyperbolic series to find the series expansions of the sums, differences, products, quotients and composites of functions.
      Activities
      1. Discussing Example 11 (textbook, page 163)
      2. Working out questions no. 1d and 1e (textbook, page 164)
      Teaching Aids
      1. STPM Mathematics T (Penerbitan Pelangi, Paper 2)
      2. Definition of hyperbolic functions on wikipedia
      3. Notes on mathcentre.ac.uk
      ReflectionStudents have been able to use standard hyperbolic series to find the series expansions of the sums, differences, products, quotients and composites of functions in questions no. 1d and 1e.