Date | 29/4/2013 (Monday) |
Time | 8.15 a.m. - 9.25 a.m. |
Class | 6AS |
Subject | Mathematics T |
Topic | Maclaurin Series |
Learning Area | Maclaurin Series |
Learning Outcome | Students should be able to find
- the first and second derivative of a function,
- the first four terms of the Maclaurin series of the function.
|
Activities | - Discussing Example 19 (textbook, page 168)
- Working out question no. 2 (textbook, page 170)
|
Teaching Aids | STPM Mathematics T (Penerbitan Pelangi, Paper 2)
|
Reflection | Students 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. |
Date | 30/4/2013 (Tuesday) |
Time | 8.50 a.m. - 9.25 a.m. |
Class | 6AS |
Subject | Mathematics T |
Topic | Numerical methods |
Learning Area | Numerical solution of equations |
Learning Outcome | Students should be able
- to locate a root of an equation approximately by means of graphical considerations and by searching for a sign change, and
- 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 | - Discussing Examples 1-5 (textbook, page 177)
- Working out questions no. 1a, 1b and 1c (textbook, page 178)
|
Teaching Aids | - STPM Mathematics T (Penerbitan Pelangi, Paper 2)
- Numerical solutions' notes
|
Reflection | We only managed to discussed the examples; working out the questions will be done during the next class. |
1/5/2013: Cuti Hari Pekerja
Date | 2/5/2013 (Thursday) |
Time | 9.45 a.m. - 10.55 a.m. |
Class | 6AS |
Subject | Mathematics T |
Topic | Numerical methods |
Learning Area | Numerical solution of equations |
Learning Outcome | Students 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. |
Activities | Working out questions no. 1a, 1b and 3 (textbook, page 178) |
Teaching Aids | - STPM Mathematics T (Penerbitan Pelangi, Paper 2)
- Numerical solutions' notes
|
Reflection | The 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. |
Date | 3/5/2013 (Friday) |
Time | 9.40 a.m. - 10.40 a.m. |
Class | 6AS |
Subject | Mathematics T |
Topic | Numerical methods |
Learning Area | The Newton-Raphson method |
Learning Outcome | Students 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 . |
Activities | Working out questions no. 1, 2 and 3 (textbook, page 185) |
Teaching Aids | - STPM Mathematics T (Penerbitan Pelangi, Paper 2)
- Newton-Raphson method
- Newton's method on wikipedia.com
- Newton's method in PDF format
|
Reflection | Working 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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