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

## Tuesday, 22 January 2013

## Wednesday, 16 January 2013

### Answers for pg 51 - 53 (Long and synthetic division)

The answers are:

remainder = 2

quotient = 6x^2 - 4x - 2

remainder = 0

quotient = 2x^4 + 3x^2 + 9

remainder = 0

Practice 8

(a) quotient = 2x^2 - x - 12

remainder = 0

(b) quotient = 3x^2 -12x + 6

remainder = 3

__Practice 5____quotient = 2x^2-x-12__

remainder = 2

__Practice 6__quotient = 6x^2 - 4x - 2

remainder = 0

__Practice 7__quotient = 2x^4 + 3x^2 + 9

remainder = 0

Practice 8

(a) quotient = 2x^2 - x - 12

remainder = 0

(b) quotient = 3x^2 -12x + 6

remainder = 3

## Tuesday, 15 January 2013

### Math Notes Part 1 Answers

#### Punishment for not knowing which Practice 02 in the math notes as homework :(

Practice 04 - Page 50 of Math Notes Sec 3 Part 1by Ryan Yeo

## Monday, 14 January 2013

### Polynomials Revision

BY MR JOHARI

source: http://www.regentsprep.org/Regents/math/ALGEBRA

Not to worry about the score - it is non evaluative for CA but would enable me to gauge your understanding and assist you.

source: http://www.regentsprep.org/Regents/math/ALGEBRA

**Attempt the following Quiz and post your score as a comment.**Not to worry about the score - it is non evaluative for CA but would enable me to gauge your understanding and assist you.

### Homework for 15 Jan 2013 (Polynomials Worksheet A01B)

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

Please complete them by tomorrow.

## Sunday, 13 January 2013

### 3 Things Learnt from Today

1. The image of a function is the output

2. f -> x = f(x)

3. Differentiate a function from non-functions.

Yeah!

Try and find what 1/9801 is equal to, the answer is amazing.

2. f -> x = f(x)

3. Differentiate a function from non-functions.

Yeah!

Try and find what 1/9801 is equal to, the answer is amazing.

## Wednesday, 9 January 2013

### Gotfried Wilheim Leibniz: Contribution as Mathematician

Leibniz was the first to employ function to denote any of several
geometric concepts derived from a curve, such as abscissa, ordinate,
tangent, chord, and the perpendicular. In the 18th century, "function"
lost these geometrical associations. Leibniz was the first to see that
the coefficients of a system of linear equations could be arranged into
an array, now called a matrix, which can be manipulated to find the
solution of the system, if any. This method was later called Gaussian
elimination.

### Daniel Bernouli: Bernouli's principle

In fluid dynamics, Bernoulli's principle states that for an inviscid flow, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid's potential energy. Bernoulli's principle is named after the Swiss scientist Daniel Bernoulli who published his principle in his book Hydrodynamica in 1738.

### Leonhard Euler

He is a Swiss mathmetician and physicist.

He is the one responsible for the "e" you see in your calculators. It is a constant that is approximately equal to 2.71828.

Basically it means this:

He is the one responsible for the "e" you see in your calculators. It is a constant that is approximately equal to 2.71828.

Basically it means this:

The base of the natural logarithm.

From "e" he derived "Exponential Function" from f(x) = e^x. It is used to model a relationship in which a constant change in the independent variable gives the same proportional change (i.e. percentage increase or decrease) in the dependent variable.

**WANNA SHARE:**

I've found this nice math video that is got to do with youtube:

## Tuesday, 8 January 2013

### FUNCTION (GRAPHICAL PERSPECTIVES)

by Mr Johari

The previous activities explicated the definitions of Relation and Function.

In the following task you have to use a suitable graphing tool to identify the graph and equation of

(1) a FUNCTION

(2) a Non FUNCTION

## 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.

### Math Olympiad and Math Italy Trip

Here are two programmes for your consideration.

1. Math Olympiad

- Saturday Morning for 15 weeks

**Please send me an email before this Friday, 11 Jan 2013, if you are interested.**

2. Math Italy Trip

- Mr Ingham has briefed you on the trip last year.

- June or Oct (not confirmed yet)

**Please send me an email before this Friday, 11 Jan 2013, if you are interested. More information may be obtained from Mr Ingham.**

Thank you.

## Sunday, 6 January 2013

### Mutual Swap between Math and SS & Chem

Dear students

As I will be away on course this Friday, 11 Jan 2013, your SS and Chemistry teachers have kindly agreed to swap their lesson with me.

11 Jan (Fri) Math 08 55 - 09 45 --> SS

11 Jan (Fri) Math 0945 - 1035 --> Chemistry

14 Jan (Mon) 10 45 - 11 35 Chemistry --> Math

15 Jan (Tues) 1155 - 1245 SS --> Math Thank you.

As I will be away on course this Friday, 11 Jan 2013, your SS and Chemistry teachers have kindly agreed to swap their lesson with me.

11 Jan (Fri) Math 08 55 - 09 45 --> SS

11 Jan (Fri) Math 0945 - 1035 --> Chemistry

14 Jan (Mon) 10 45 - 11 35 Chemistry --> Math

15 Jan (Tues) 1155 - 1245 SS --> Math Thank you.

## 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 Tes**t 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 monitorin**g 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

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