Saturday, 22 February 2014

Class Work: Algebra (1) Substitution

We had discussed Q1 and Q4, and concluded that both were correct.





Class Work: Algebra (2) Solving Simple Equation

For Q2 and Q4: We did not get the time to discuss Q2 and Q3 during the lesson.
See the comments and additional notes below

Group 3: 4 points awarded


How we can approach this question (as a typical 'substitution' question)




Group 2: No point awarded


How it should look like:






6 AM Quiz: Let's Test FIDO out!

In this round of 6 am quiz, you will attempt to uncover the mystery behind Fido's Mind-Reading ability.

Fido claims that he can read our mind.
Click at the following link to test him out!!! :
http://www.digicc.com/fido/

There are several ways to explain Fido's trick, using mathematical reasoning. 
Make an attempt to use ALGEBRA to explain the "trick"?

Enter your thinking (algorithm) in Comments.

Friday, 21 February 2014

21 Feb 2014: Submission of Alternative Assessment (up to 1350h)

The following have already submitted.
If your name is not there, please submit your work as soon as possible.

TimestampNameRegister numberClass
2/19/2014 21:51:43Bhojwani Ria Manoj1S1-01
2/21/2014 12:47:31Everi Yeo Yi Yun3S1-01
2/20/2014 0:46:12Ho Matsuoka Evangelista Miyuki Sophia4S1-01
2/19/2014 22:10:40Nishtha Gupta5S1-01
2/19/2014 23:30:56Tang Jun Mei, Shanice6S1-01
2/16/2014 17:54:01Chiu Chen Ning8S1-01
2/20/2014 20:57:40Haw Jin Yu9S1-01
2/20/2014 20:37:23Joshua Wee Yu Shuen11S1-01
2/19/2014 22:11:37Kaung Htet Wai Yan12S1-01
2/21/2014 6:00:28Keith Tang Yi Heng13S1-01
2/17/2014 21:31:41Kuan Yew Chong14S1-01
2/20/2014 20:20:21Noel Lim16S1-01
2/20/2014 20:12:29Siddhartha jaruhar17S1-01
2/18/2014 23:48:54Xavien Teo MIng Rui19S1-01
2/16/2014 23:20:37Tham Kai Heng20S1-01
2/20/2014 20:07:19Wagle Prateek Shantanu21S1-01
2/16/2014 13:49:01WONG MIN QUAN22S1-01

Thursday, 20 February 2014

(Homework) Generalising: From Numbers to Algebra

This TASK is COMPULSORY.
To be completed by Sunday (23 Feb 2014)

Attempt the following:






Algebra... Which is larger? (I)



Which is larger in magnitude?
5 + n or  5n

Explain your answer clearly with examples.


Enter your response in Comments.
This question is compulsory.

Algebra... Which is larger? (II)


Jennifer says, "5x2  is always smaller than  (-5x)2. "

Do you agree? Explain your answer. 

Enter your response in Comments.

This question is compulsory.

Algebra... Help! What's Wrong?

Jane did the following:
  • 3a + b = 3ab
  • 2s + 4t = 6st
Do you think Jane is correct in her algebraic manipulations?
If yes, please write down examples to show that her answer is correct.

If not, explain to Jane her mistakes and help her to correct.

Enter your response in Comments.

Algebra... Different "Faces" of Algebra (I)

The total length of 4 roads is (3x - 1) km.
What are the possible lengths of the 4 roads in kilometres?

e.g. The length of the 4 roads are: x km, x km, x-7 km, 6 km
Check: x + x + (x - 7) + 6 = 3x - 1

Enter your suggested lengths in comments.

Algebra... Different "Faces" of Algebra (II)

The perimeter of a rectangle is (6x + 5y) cm.
Suggest 2 possible dimensions of the rectangle.

e.g.
Length of rectangle = 2x + 2y cm
Breadth of rectangle = x + 0.5y cm
Check:
Perimeter = 2 (2x + 2y) + 2 (x + 0.5y) cm
= 4x + 4y + 2x + y cm
= 6x + 5y cm


Enter your suggested dimensions in Comments

Wednesday, 19 February 2014

Support Programme (24 February)

Support Programme
Date: 24 Feb (Monday)
Time: 2.30 pm to 3.30 pm
Venue: S1-01 Classroom
2BISWAKARMA JAISHREE
3EVERI YEO YI YUN
9HAW JIN YU
8CHIU CHEN NING
11JOSHUA WEE YU SHUEN
13KEITH TANG YI HENG
14KUAN YEW CHONG
16NOEL LIM
17SIDDHARTHA JARUHAR
18TAY YONG KIAT, ROY
20THAM KAI HENG
21WAGLE PRATEEK SHANTANU
22WONG MIN QUAN
23YAP CLEMENT
Things to bring: Maths Workbook; Summative Assessment 1

Tuesday, 18 February 2014

Algebra: Variables & Constants



Click HERE to view the Spreadsheet.

Algebra: Equation vs Expression

(I) Algebraic Expressions vs Equations
The following are expressions
  • 3x
  • 5 - 2y
  • p + 2q - 45
  • mn
The following are equations:
  • 2x = 4
  • x + 8 = 20
  • x² = 36
  • 2x + y = 4
Can you tell the difference between an expression and an equation?

(II) Coefficients, Variables and Constants
In the following algebraic expressions:

(a) 6x
  • x is a variable
  • 6 is the coefficient of x
  • There is no constant
(b) 2y + 5
  • y is a variable
  • 2 is the coefficient of y
  • 5 is the constant
(c) 3m + 7n + 9
  • m and n are variables
  • 3 and 7 are coefficients of m and n respectively
  • 9 is the constant
(d) p + 2q - 45
  • p and q are variables
  • 1 and 2 are coefficients of p and q respectively
  • -45 is the constant
(e) 5a - 3b + 1
  • a and b are variables
  • 5 and -3 are coefficients of a and b respectively
  • 1 is the constant
(f) x - y
  • x and y are variables
  • 1 and -1 are coefficients of x and y respectively
  • There is no constant
When given an expression, are you able to pick out the variable(s), coefficient(s) and constant terms?
Click HERE to read more about these...


Let's learn more terms that are related to Algebra through the Hangman activity (select "Algebra")

Monday, 17 February 2014

Tasks assigned on 17 February

Dear S1-01

1. Homework (to be done in foolscap papers)
Remember to copy questions and write neatly:
  • Chapter 3: Approximation and Estimation
  • Workbook p26
    • Q26
    • Q27(a), (c), (e), (g), (i)
  • Q28
  • Q29
Deadline: Wednesday 19 February 2014

2. Preparation for next lesson
Study Notes 
  • Approximation & Estimation (p50); visit p43 (Let's Discuss)
  • Get ready Algebra
3. Diagnostic Test on Algebra

4. Summative Assessment for Chap 1 & 2 on 18 Feb (Tuesday)

  • After school - 30 minutes

5. 2012 Level Test Maths papers - for Practice
Suggested solution will be available in the GoogleSite from Saturday onwards

Algebra: The Mind Reader

Click at the LINK to get the Crystal ball reading your mind



Could you UNCOVER THE MYSTERY behind the crystal ball?
(in the Algebraic way!)
Submit your explanation under comments...

Thursday, 13 February 2014

Estimation: Pre-Lesson Preparation

On your own, go through the learning activity at
http://www.s-cool.co.uk/gcse/maths/approximations

  • Rounding 
  • Estimating
After this, look out for the Pre-Lesson Reading on Estimation at the AceLearning portal


Monday, 10 February 2014

What's the difference between "Estimate" and "Approximate"

Compose 2 sentences to illustrate what you think "Estimate" and "Approximate" mean?
The sentence should bring out the 'context' to demonstrate your understanding of the terms.

Inputs from the 4 groups...

Estimate...

  • Group 1: A rough calculation or guess
  • Group 2: Estimate the cost of 5 packets of rice if a packet of rice is $10.25
  • Group 3: 
  • Group 4: 

Approximate...

  • Group 1: nearly exact, not perfectly accurate
  • Group 2: The cost of 5 plates of rice is approximately $51
  • Group 3: 
  • Group 4: 


Friday, 7 February 2014

Real Numbers: 4 Operations with Fractions - Addition & Subtraction (Challenger Question 2)

Working 1:

Look at the working presented below. 
2 useful strategies were used. 
Do you know what are they?



Working 2:

Look at the working presented below.
What's "wrong" with the working presented?




Points scored:
Group 1: 4 (Everi) + 4 (Min Quan) +  4 (Joshua Wee) + 4 (Sophia) = 16 points
Group 2: 3 (Wei San) + 1 (Kai Heng) = 4 points
Group 3: 4 (Keith) = 4 points
Group 4: No submission

Real Numbers: 4 Operations with Fractions - Addition & Subtraction

What strategy should we adopt when evaluating the following (without the use of calculator)?