STATUS OF WORK TO DATE

BY Mr Johari

This is the latest record of assignments, tasks and assessment.

Appreciate if you could check for assignments marked 'not submitted'..

As we are working towards realising your dreams of achieving distinctions in Maths - you have to do your part in monitoring your own progression.

However, if you are not able to manage yourself then we would collaborate with your parents to assist you.

ACE LEARNING - ON-LINE QUIZ UPDATE

by Mr Johari

To date only the following students have attempted the on-line Quiz(es) - Quiz 1-3.

Much appreciate their Committed and Courage in building their Confidence in the subject. It speaks volume about their Performance Character.

For others, I am sure you have a VALID reason for not attempting and a lack of commitment is surely NOT one of them.

Do let me know should you have problem accessing the ACE Learning portal.

Notes - 24th January

Partial Fraction 

• Opposite of Simplifying
• Split complex algebraic fraction into multiple simplest form of the fraction

Technique use in Partial Fraction

For Linear Factor

For repeated Linear factor

For Quadratic factor which cannot be factorise

For Combination of Linear and repeated linear factor

Types of Fraction

Improper Fraction 






Proper Fraction






Mixed Number





* Must always convert Improper to Mixed Number unless stated in the question.

Mr Johari's Marking Scheme

Here is the link to the answer for Quiz 2 in case you miss it
http://www.mediafire.com/view/?77i4oj4hvh5pqoa

PARTIAL FRACTION -summary

BY MR JOHARI

PARTIAL FRACTION 

SUMMARY OF TYPES AS GUIDE

Source: ACE Learning

 

Mathematics Lesson Summary - January 23rd, 2013

Good evening, everyone.

First of all, I'm extremely sorry about the time at which this has been uploaded. I was extremely busy and have just finished editing today's notes. At any rate, here they are - fresh off the digital printing press.

You can download the notes for today in the form of a Microsoft Word document here, with hyperlinks enabled. If you don't have Microsoft Word or for some reason cannot open the file in Pages, you can download a PDF copy of the notes here. However, this version of the document does not include hyperlinks.

I hope the notes from today's mathematics lesson help you with your revision. If you have any suggestions regarding my note-taking, I'd be pleased to receive them over Facebook or through a comment on this post.

Once again, I apologize for the delay, and I wish you a pleasant evening.

Cheers,

Balram Sharma
#07

GRAPHIC CALCULATOR

Graphic Calculator TI84plus

All sec 3 students will be required to buy TI84plus.

estimated cost - $158 

Vendor will be coming on 24 January 2013.

Time: 2 -3 pm (Canteen)
Payment by Cash or Cheque.
If payment is by cheque, please make it payable to "Learning Interactive Pte Ltd"

For Students on Financial Assistance please email your Maths teacher

LEVEL TEST 1

WK 7/8

AM AND MD

2 PAPERS - 30 MARKS EACH

Lesson Notes

Basically the Remainder and Factor Theorem... Mostly was recap on the previous lessons, and notes for those are below..

PARTIAL FRACTION

BY MR JOHARI

A. Introduction to PARTIAL FRACTIONS

RESOURCE: PARTIAL FRACTIONS

TOWARDS DISTINCTION - QUIZ

BY MR JOHARI

Please attempt the following Topics/Questions from ACE Learning Maths Portal.

URL:  http://www.ace-learning.com/index.php

For first time User: 

Username: NRIC 

Password:  NRIC

[Please inform your Maths Teacher should you encounter any problem]

Task: Compulsory

Complete the following on-line Quizzes. Advice: Review topic(s) before attempting the Quiz(zes)

Quiz 1:Polynomials - Identity

Quiz 2:Remainder Theorem

Quiz 3:Factor Theorem

Must be attempted by end of Week 3. Marks will be recorded and reviewed. 

All the besr.

Notes for January 17 2013

(Sorry if it's blurred. The picture should be able to be enlarged if you click on it.)

Division - Long Division to Remainder Theorem

Please go the the following link and summarise the content as follows:

• What is the overall understanding that the author is trying to explicate from the explanation.
• What are the key concepts of Mathematics - Remainder Theorem that the author is emphasizing?
• If you are required to explain the linkages between Long Division, Synthetic Division and Remainder Theorem, how would you do it?

Work in groups not more than 3 and post it as a new entry.

Title: Division (exploration)

done by:  (group members' names)

Label: Polynomial


Time given: 15minutes.

Week 2 Lesson 2 - Idenity of Unknown Polynomials

When dividing, make sure to factorize first before dividing

Brackets are also important, a value with or without brackets can mean two different things

  Non-polynomials are when x is not an element of a natural number.

 

 A number in a polynomial will consist of :

(a) A coefficient ; It can be of any value, whether square root or a fraction

(x) A variable; It may change according to the situation

(n) A power above the variable

 When that three lines appear, it means that the Left hand side(LHS) and the right hand side(RHS) are of the same identity. This symbol can only be used when finding the identity.

Solution: Page 39. Practice 01. (3)

WK 2 Lesson 3 (16/1/13) Division of Polynomials

Revision on polynomials
Polynomial
▻ variable x is a mathematical expression involving a sum of terms, each in the form axⁿ (n ∈ ℤ⁺), where a is a coefficient to the power of n, a non-negative integers.

Method 1 - comparing coefficient
3x² + 4x = Ax² + (B + 1)x
compare coef.
A = 3 , B = 3

Method 2 - numerically
3x² + 4x = Ax² + (B + 1)x
if x = 1, 3 + 4 =  A + (B + 1) ---- 1
if x = -1, 3 - 4 = A - (B + 1) ---- 2


Division of polynomials
Dividend ≣ Divisor x Quotient + Remainder

Practice 1:

Another example:

Common 'mistake(s)'/something to be aware of:

*REMEMBER*

short quiz about division of polynomials next lesson(which is tomorrow)

comment if I left anything out

thank you ^^

WORKSHEET A01A (FUNCTION)

POLYNOMIAL - DIVISION

MODEL OF DIVISION

LONG DIVISION

LONG DIVISION to SYNTHETIC DIVISION

REMAINDER THEOREM

Inverse Functions-Lesson 14JAN2013

Basically, an inverse function is the opposite of a function.

If you have a function, f(x) = 2x + 3 = y, the inverse function of this would be (y-3)/2.

f(x)   = 2x + 3 = y
   x    = (y - 3)/2 (make x the subject)
f-1(x) = (y-3)/2

To write the inverse function of f(x) = 2x + 3, write it this way: f-1(x) = (y-3)/2

*Special Rules*
• The inverse function of an inverse function is the original one.
• Not all functions can be inversed, e.g. f(x) = x^2 = y, which becomes x = ±√y. This is not a function as x has two values, one negative and one positive. (Remember that one of the requirements for functions is for the x value to have only one y value.)

Also, don't forget to comment under Polynomials - Revisions 1 & 2, division, and read through the introduction. :)

Done by Dylaine Ho (02)

POLYNOMIAL - DIVISION

BY MR JOHARI
SOURCE: http://www.purplemath.com/modules/polydiv.htm

Recall past Knowledge

Understand the following concept.
(a) What makes it work?
(b) Is there a limit to the Domain? (does it work for all values?) Why?

Post your responses as comments

POLYNOMIAL - INTRODUCTION

BY MR JOHARI

SOURCE: http://www.mathsisfun.com/algebra/polynomials.html

POLYNOMIAL - REVISION2

BY MR JOHARI
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.

POLYNOMIAL - REVISION 1

QUICK REVISION 
SOURCE: http://www.regentsprep.org/Regents/math/ALGEBRA/AV2/sapplied.htm

 Post your responses as a comment