Monday, April 27, 2015

Monday, April 20, 2015

Week 17 (20-24/4/2015)

Date20/4/2015 (Monday)
Time11.30 a.m. – 12.40 p.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.


Date21/4/2015 (Tuesday)
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. 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.


Date22/4/2015 (Wednesday)
Time7.05 a.m. – 8.15 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.


Date23/4/2015 (Thursday)
Time8.50 a.m. – 9.25 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.


Date24/4/2015 (Friday)
Time8.50 a.m. – 9.25 a.m. ; 10.40 a.m. – 11.40 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.


Monday, April 13, 2015

Week 16 (13-17/4/2015)

Date13/4/2015 (Monday)
Time11.30 a.m. – 12.40 p.m.
Class6AS
SubjectMathematics T
TopicDifferential equations
Learning AreaDifferential equations
Learning OutcomeStudents should be able to find the general solution of a first order differential equation with separable variables.
Activities
  1. Discussing Assignment B (Student's Manual 2013/2014, page 12)
  2. Working out question no. 5
Teaching AidsSTPM Mathematics T (Penerbitan Pelangi, Term 2)
ReflectionStudents have been able to find the general solution of a first order differential equation with separable variables in question no. 5.


Date14/4/2015 (Tuesday)
Time7.05 a.m. – 8.15 a.m.
Class6AS
SubjectMathematics T
TopicDifferential equations
Learning AreaDifferential equations
Learning OutcomeStudents should be able to construct a differential equation, with separable variables, related to acceleration.
Activities
  1. Discussing Assignment B (Student's Manual 2013/2014, page 12)
  2. Working out question no. 1
Teaching AidsSTPM Mathematics T (Penerbitan Pelangi, Term 2)
ReflectionStudents have been able to construct a differential equation, with separable variables, related to acceleration in question no. 1.


Date15/4/2015 (Wednesday)
Time7.05 a.m. – 8.15 a.m.
Class6AS
SubjectMathematics T
TopicDifferential equations
Learning AreaDifferential equations
Learning OutcomeStudents should be able to determine the expression of velocity in terms of time related to differential equation with separable variables.
Activities
  1. Discussing Assignment B (Student's Manual 2013/2014, page 12)
  2. Working out question no. 2
Teaching AidsSTPM Mathematics T (Penerbitan Pelangi, Term 2)
ReflectionStudents have been able to determine the expression of velocity in terms of time related to differential equation with separable variables in question no. 2.


Date16/4/2015 (Thursday)
Time8.50 a.m. – 9.25 a.m.
Class6AS
SubjectMathematics T
TopicMaclaurin Series
Learning AreaMaclaurin Series
Learning OutcomeStudents should be able to find the Maclaurin Series for a function and the interval of convergence.
Activities
  1. Discussing Example 1 (textbook, page 156)
  2. Working out questions no. 1 and 2 (textbook, page 159)
Teaching Aids
  1. STPM Mathematics T (Penerbitan Pelangi, Term 2)
  2. Finding a Maclaurin Series expansion on Youtube
  3. Maclaurin Series in wolfram.com
  4. Online notes on Maclaurin Series
  5. Ratio test on Wikipedia
  6. Ratio test on lamar.edu
ReflectionStudents have been able to find the Maclaurin Series for a function and the interval of convergence in questions no. 1 and 2


Date17/4/2015 (Friday)
Time8.50 a.m. – 9.25 a.m. ; 10.40 a.m. – 11.40 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. 1 (textbook, page 162)
Teaching AidsSTPM Mathematics T (Penerbitan Pelangi, Term 2)
ReflectionThe lesson, which has yet to be completed, will be repeated during the next class.


Monday, April 6, 2015

Week 15 (6-10/4/2015)

Date6/4/2015 (Monday)
Time11.30 a.m. – 12.40 p.m.
Class6AS
SubjectMathematics T
TopicDifferential equations
Learning AreaDifferential equations
Learning OutcomeStudents should be able to find the general solution of a first order differential equation with separable variables.
Activities
  1. Discussing Example 2 (textbook, page 128)
  2. Working out questions no. 3 and 4 (textbook, page 130)
Teaching AidsSTPM Mathematics T (Penerbitan Pelangi, Term 2)
ReflectionStudents have been able to find the general solution of a first order differential equation with separable variables in questions no. 3 and 4.



Date7/4/2015 (Tuesday)
Time7.05 a.m. – 8.15 a.m.
Class6AS
SubjectMathematics T
TopicDifferential equations
Learning AreaDifferential equations
Learning OutcomeStudents should be able to find the general solution of a first order linear differential equation by means of an integrating factor.
Activities
  1. Discussing Example 5 (textbook, page 131)
  2. Working out questions no. 1 and 2 (textbook, page 133)
Teaching AidsSTPM Mathematics T (Penerbitan Pelangi, Term 2)
ReflectionStudents have been able to find the general solution of a first order linear differential equation by means of an integrating factor in questions no. 1 and 2.


Date8/4/2015 (Wednesday)
Time7.05 a.m. – 8.15 a.m.
Class6AS
SubjectMathematics T
TopicDifferential equations
Learning AreaDifferential equations
Learning OutcomeStudents should be able to transform, by a given substitution, a first order differential equation into one with separable variables or one which is linear.
Activities
  1. Discussing Example 6 (textbook, page 132)
  2. Working out questions no. 3 and 4 (textbook, page 133)
Teaching AidsSTPM Mathematics T (Penerbitan Pelangi, Term 2)
ReflectionStudents have been able to transform, by a given substitution, a first order differential equation into one with separable variables or one which is linear in questions no. 3 and 4.


Date9/4/2015 (Thursday)
Time8.50 a.m. – 9.25 a.m.
Class6AS
SubjectMathematics T
TopicDifferential equations
Learning AreaDifferential equations
Learning OutcomeStudents should be able to use a boundary condition to find a particular solution.
Activities
  1. Discussing Example 7 (textbook, page 132)
  2. Working out questions no. 5 and 6 (textbook, page 133)
Teaching AidsSTPM Mathematics T (Penerbitan Pelangi, Term 2)
ReflectionStudents have been able to use a boundary condition to find a particular solution in questions no. 5 and 6.


Date10/4/2015 (Friday)
Time7.05 a.m. – 7.40 a.m. ; 10.40 a.m. – 11.40 a.m.
Class6AS
SubjectMathematics T
TopicDifferential equations
Learning AreaDifferential equations
Learning OutcomeStudents should be able to solve problems, related to science and technology, that can be modelled by differential equations.
Activities
  1. Discussing Example 8 (textbook, page 134)
  2. Working out questions no. 1 and 2 (textbook, page 136)
Teaching AidsSTPM Mathematics T (Penerbitan Pelangi, Term 2)
ReflectionStudents have been able to solve problems, related to science and technology, that can be modelled by differential equations in questions no. 1 and 2.