Start Date: Monday 18 Nov 2024
Dates: 18/11, 25/11, 2/12, 9/12, 30/12 (Total 5 lessons, 7.5 hrs)
Time Slot: Monday, 5.30 pm – 7.00 pm
Location: Online via Zoom or Blk 644, Bukit Batok Central, #01-68. S(650644).
Topics to be covered: TRIGONOMETRY & DIFFERENTIATION
Fee: $300 for all 5 lessons (can make-up if absence is informed at least 3 days in advance)
Registration fee: $30.
Focus: CONCEPTUAL UNDERSTANDING & APPLICATION OF SKILLS
Format: Teaching + Worksheets + Discussions
Target Group: Current Sec 3 students who wish to learn S4 A.Math so as to be better prepared for their O-level exams. Year 3 IP students are welcome to join.
Course Outline:
- Further Trigo Part 1
- Further Trigo Part 2
- Intro to Differentiation, Basic Rule.
- Power Rule
- Product Rule
Background of Tutor:
The tutor is a RI & RJC alumnus and a NIE-trained ex-teacher who has been teaching A.Math and JC Math for more than 10 years.
To register, sms <Student Name><S4AMHS> to 97860411 and pay the registration fee of $30 via Paylah or Paynow to 97860411.
For any queries, you may also talk directly to the tutor at 97860411.
If instead you need private 1-1 REVISION or RELEARNING of Sec 3 A.math topics, kindly message the tutor directly at 97860411, or click below to find out more:
SEC 3 A. MATH TOPICAL RELEARNING (Nov-Dec)
TUITION CLASSES:
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By EX-MOE TEACHERS & EXPERIENCED TUTORS
@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).
CALL 65694897 OR SMS 87762711.
Updates & Reflections on my Learn Ahead Programme (LAP) – A. Math & Physics
These are what I covered this week:
S4 A. Math: We started on Differentiation – Idea of limits and the derivative, dy/dx, power rule. Students find it interesting that we can determine the gradient at a point on a curve without drawing a tangent.
S4 Physics: We started on Static Electricity – the idea of charge, the coulomb, insulators, conductors, charging by friction, charging by induction, charging by contact, earthing, electric fields, applications of electrostatics. Unfortunately textbooks, don’t cover much about what happens when a charged insulator touches another insulator, when an insulator touches a conductor (either is charged), and when a conductor touches another conductor (either or both initially charged).
S3 A.Math: We revised the beginnings of Logarithms a bit as a new student has just joined. Conversion of index form to log form and vice versa, base e and base 10.
S3 Physics: We revised Kinematics because of a new student – distance vs displacement, speed vs velocity, deceleration vs negative acceleration, scalars and vectors, kinematics formulae.
Rgds,
Ilyasa (hp: 97860411)
Sec 4 A. Math Reflections 02/02/13 – Higher Derivative
Today I taught them the Higher Derivatives, using displacement, velocity and acceleration as real-life examples. I chose not to introduce the 2nd derivative as a means to test whether a turning point is a maximum or minimum, as I preferred to do that when teaching the application of differentiation in tangents and normals at a point in a curve.
Points to note:
(1) students must not write the 2nd derivative as dy^2/dx^2;
(2) d^2y/dx^2 is not the same as (dy/dx)^2;
(3) d^2y/dx^2 is the same as f”(x) or f^2(x);
(4) there may be product rule, quotient rule or chain rule involved when finding the higher derivatives.
Rgds,
Ilyasa, M.Ed, PGDE, ex-MOE Math and Physics teacher (hp: 97860411)
_______________________________________
TUITION CLASSES:
_______________________________________________________________
EDUCATIONAL SERVICES:
______________________________________________________________
By EX-MOE TEACHERS & EXPERIENCED TUTORS
@ BLK 644, BUKIT BATOK CENTRAL, #01-68. S(650644).
CALL 65694897 OR SMS 98530744 OR 97860411.
Sec 4 A. Math Reflections sat1415 19/01/2013 – Differentiation
This was our third lesson in Jan. We did the Product Rule for Differentiation after spending the last two sessions doing the Basic Rule and the Power Rule (a subset of the chain rule).
I told students to differentiate directly, in line, and not use the “let u = f(x) and v = g(x)” which is longer, more confusing and can cause more careless mistakes.
Now they are able to perform dy/dx = f(x)g'(x) + g(x)f'(x) quite quickly without introducing new variables such u and v which can be quite clumsy. Most of the time, finding dy/dx is part of a larger question, so it is unwise to make this part too long.
I ended the lesson with an intro to the Quotient Rule. Again, I don’t recommend the use of u’s and v’s and instead differentiate directly in line. We’ll be practising the Quotient Rule in the next session.
Again I tell students that Calculus is almost one-third of the A. Math syllabus, so if you want to get A1 you have to master Differentiation and Integration, which, in my opinion (and students hate it every time I say it), are amongst the easiest of topics in A.Math.
However, Integration at the A-Levels (H2 Math) can be quite difficult. But we’ll cross the bridge when we come to it. : )
Ilyasa, M.Ed, PGDE, ex-MOE teacher
(hp: 97860411)
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For our latest timetable, click here =>
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Sec 4 A. Math Headstart Programme – Differentiation
For our latest timetable, click here =>
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ORIGINAL POST (OUTDATED):
The details of the 2-day, 6-hr programme are as follows:
Date/Time (choose one pair of sessions only):
(1) Sat 10 Nov (10 am to 1 pm) and Sun 11 Nov (10 am to 1 pm);
(2) Thurs 22 Nov (4.30 pm to 7.30 pm) and Fri 23 Nov (4.30 pm to 7.30 pm);
(3) Thurs 6 Dec (4.30 pm to 7.30 pm) and Fri 7 Dec (4.30 pm to 7.30 pm);
Location: Blk 627, Bukit Batok Central, 07-640.
Class size: Max 6 students.
Investment amt: $150 total for both days (6 hrs).
Topics: Calculus – Differentiation & Its Applications
Tutor: Mr Ilyasa; M.Ed (NIE), PGDE (NIE), BSc (NUS), A-Level (RJC); ex-sch teacher, full-time tutor (8 years) of PSLE, O and A Level Math and Physics.
To book a place in the programme, sms to or call Mr Ilyasa at 97860411.