Tuesday, 22 January 2013

Uses of Partial Fractions


Some links on the uses of partial fractions.

1. http://www.s-cool.co.uk/a-level/maths/advanced-algebra/revise-it/uses-of-partial-fractions

2. http://www.karlscalculus.org/calc11_5.html

3. http://www.sosmath.com/algebra/pfrac/pfrac.html

Thursday, 17 January 2013

Classwork for 18 Jan 2013

 Here's a file which you will find helpful in your revision and practice.


Please read page 352 - 355
for an overview of long division, synthetic division, remainder and factor theorems and also a real life application question.

page 356 provides good exercises, both written and mathematical, for revision.

page 366 requires factor theorem, so you are welcome to try it. Do not be too disturbed if you cannot do it for now.

Questions 55 - 62 are untypical questions, and are for those who love a little challenge.

Questions 63 - 65 are relevant for you and you should try them.

Lastly, on page 358, questions 70 - 82 are for those who need revision on the Sec 2 topics (expansion, simplication) and some of you who have been struggling with algebraic manipulation, you should do these.

Regards
Mrs Sin

Monday, 14 January 2013

Homework for 15 Jan 2013: Polynomials (worksheet A01B) pg 84

Here are the modifications for the homework.

Q3) (b) 3x^2-4x+20 = A(x-2)^2 + B(x+2) + C
 
       (c) 2x^3-x^2 - 7x+C = (2x-3) (x^2 + x - 2) +1


Tuesday, 8 January 2013

Quick review about history of Gottfried Wilhelm von Leibniz (By: Darren and Harindrar)


History of Gottfried Wilhelm von Leibniz

Gottfried Wilhelm von Leibniz, born on July 1, 1648, in Leipzig, Germany. (From July 1, 1648 - November 14, 1716) Leibniz was had many interest, mainly being Mathematics and philosophy. Leibniz started studying and reading advanced philosophy and theological works at the age of 6, and soon enrolled into his father’s university at the age of 15. After publishing his first book on philosophy at the age of 20, he soon met Dutch physicist, Christiaan Huygens and soon got interested in mathematics and physics, which soon led to his inventions of infinitesimal calculus independently of Isaac Newton and later his notations were widely used by people since published. He also became one of the prolific inventors in the field of mechanical calculators such as Pascal Calculators and Pinwheel Calculators.

The three mathematicians (By Darren and Harindrar)

Daniel Bernoulli was a Dutch-born member of the Swiss mathematical family. His most important work considered the basic properties of fluid flow, pressure, density and velocity, and gave the Bernoulli principle.

Gottfried Leibniz was a German mathematician who developed the present day notation for the differential and integral calculus though he never thought of the derivative as a limit. His philosophy is also important and he invented an early calculating machine.

Leonhard Euler  was a pioneering Swiss Mathematician and physicist. He made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of a mathematical function. He is also renowned for his work in mechanics, fluid dynamics, optics, and astronomy.

GCP - ITALY

Please complete this by 13 January 2013

Monday, 7 January 2013

What can you tell about these machines?

Coffee Making Machine

Chocolate wrapping Machine

Popcorn making machine
Tidbits vending machine

In groups of 2's or 3's, discuss and post your observation in this thread.

Sunday, 6 January 2013

Mutual Swap between Math and EL

Dear students

As I will be away on course this Friday, 11 Jan 2013, your EL teacher has kindly agreed to swap his lesson with me.

 11 Jan (Fri) Math 11 05 - 11 55 --> EL
 8 Jan (Tues) 11 55 - 12 45 EL --> Math

 Thank you.

Sec 3 Scheme of Work


Friday, 4 January 2013

BEGIN WITH THE END IN MIND

by Mr Johari

Welcome to an exciting year 2013
Success comes with adequate preparation and as a start do take note of the following.

1. Know your Syllabus for 2013.
    Elementary Mathematics 4016 (SEAB site)
    Additional Mathematics 4038 (SEAB site)

2. Right Resources.
    SST Maths Note (Sec 3 term 1)
    Optional Reference Book
    Calculator (with approved SST seal)
    SST Foolscap paper and graph papers (for assignments)
    ICT Resources (Class Maths Blog, ACE Learning, graphing tools etc)

3. Assessment for 2013
    Term 1   Level Test 1 + Authentic Assessment         10% + 10%
    Term 2   Common Test 1                                         20%
    Term 3   Level Test 2 + Authentic Assessment         10% + 10%
    Term 4   End of Year Summative Assessment          40%
  
4. Diagnostic Test will be conducted as Follows:
    Beginning of new topic
       - to assess prerequisite knowledge and linkages to new knowledge
    End of topic
       - to assess level of understanding and competency
    duration - 20 -30 minutes

5. Daily learning and monitoring platforms
    Class work -  in the form of activities and practice questions
    Assignment - to be done on SST foolscap papers
                         (or SST exercise books - pending style of teacher)
    all classwork to be completed within designated time

6. Character is Destiny
    Your destiny should begin with your daily routines
    A.   Be Present
    B.   Listen without Prejudice
    C.   Be Socially Aware (we are after all living in a gregarious community)
    D.   Manage your impulses
    E.   Know that the choice that you have chosen has its own consequences