## Friday, 27 February 2015

### Algebra: Challenging Question #1 - Simplification

Within a group, 2 to 3 members will attempt one part of the question.

## Monday, 23 February 2015

### 20150223 - Things to do before we meet on Wednesday

Dear S1-01

1. Homework (1): Algebra - Substitution
• Complete the questions in writing papers - to be submitted on Wednesday
• Study Notes (Lesson 1) p5 - Questions 1a,b, c & 2a,b,c
2. Homework (2): Algebra - Simple word problems
• Attempt the questions in the GoogleForm (next post)
3. Filing of Marked Assignments & Study Notes
• Go through the papers that were returned to you today.
• Remember to file them neatly in the Maths File (at home).
• You will be given the content pages for each topic tomorrow.
4. Other preparation
• Bring along the PERCENTAGES handout and marked assignment, together with your workbook to class.
• We're likely to discuss them in class anytime this week or next week

## Sunday, 22 February 2015

### T1W8: Support Programme

The following are to attend the support programme on coming Tuesday (24 Feb 2015).
Time: 2.15 pm to 3 pm
Venue: S1-01 Class Room

Focus: Topic 02 Integers, Rational & Real Numbers

Things to bring:
Working Calculator, Writing materials

Who need to attend...
• Ang Liya
• Celine Chow
• Rishita
• Ng Wen Bin Justin
• Alexander Aw
• Amanda Han
• Benedict Nai
• Jerremy Ng
• Loh Shao Cong
• Sim Choon Wee
Others...
• You may turn up if you wish to have more practice and clarify doubts for this topic.

## Saturday, 21 February 2015

### 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"?

up to 10 points to be awarded to the most complete answer that's explained in a simple to understand way

## Friday, 13 February 2015

### The Blue Elephant @ Work

Here's another interesting challenge... this time, from Mr Dean Ang :)

Are you able to 'crack' the mystery behind this?

### Algebra... Which is larger? (I)

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

This question is compulsory.

### Algebra... Which is larger? (II)

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

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.

### 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

### 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

## Thursday, 12 February 2015

### Introduction to Algebra... Crystal Ball Gazing...

Could you UNCOVER THE MYSTERY behind the crystal ball?
(in the Algebraic way!)

### 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?

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

### S1 Level Test for Maths

Date: 6 March 2015 (Friday)
Time: 0745 to 0845
Duration: 1 hour

Topics tested:
• Unit 1: Primes, HCF and LCM (entire unit)
• Unit 2: Integers, Rational and Real Numbers (entire unit)
• Unit 3: Approximation & Estimation (up to significant figures; estimation not tested)
• Unit 4: Percentages (I) - self-directed learning

Format of Paper:
• Maximum: 40 marks
• A set of question paper and cover page would be issued to you
• All working and answers are to be written on the writing paper and be stapled to the cover page for answers
• Answer ALL questions in INK

Things to Bring:
• A working calculator with the approved sticker
• Writing materials (including ruler)

Preparation:
• Go through your study notes (lessons) and assignments, and watch the video clips made available to you
• Attempt revision papers
• On your own: Practice through
• AceLearning portal
• Maths workbook, in particular, the questions in the Intermediate & Advance sections

### Estimation (Lesson 3 Handout p4) Tier B Q2

After note: This is posted after class discussion.

## Wednesday, 11 February 2015

### Study Notes (Lesson 3) Estimation Q1(b)

Score: 1 out of 3

Can we find cube root of 120 without the use of calculator?
Suggest how we can improve on estimating the cube root of 124.864.

### Study Notes (Lesson 3) Estimation Q1(c)

Score: 2 out of 3

Instead of multiplying 16 and 81 to get 1296, then followed by square-rooting the value,
what would be an easier and more efficient way to simplify this part?

### Study Notes (Lesson 3) Estimation Q1(d)

Score: 1 out of 4

There is a serious error in the 1st line of the working.
There are missing steps - which is quite obvious that some important steps (working) is missing.
Hence, no marks, except one part that shows a correct choice of estimated value.

### Study Notes (Lesson 3) Estimation Q2

Score: 0 out of 2

(1) the estimation symbol  ≈ should be used in the 1st line of the working.
(2) If you are tasked to estimate the expression to 2 s.f., then you should be working with numbers correct to 3 significant figures or more.

### Self-Directed Learning: PERCENTAGES

Dear S1-01

• Attempt the questions in the handout as you go through the topic.
• We will pick out questions to discuss on coming Monday (16 February).
Homework - in page 8
• Complete the questions in writing papers.
• Submit your homework on 16 February 2015 (Monday)

### Revision Papers for Level Test 1 Preparation

Dear S1-01

2 sets of revision papers were issued to you during today's lesson.

You will only need to submit the Revision Papers after you return from Lunar New Year
Date: 23 February 2015 (Monday) during lesson

Note:

• Revision Paper for Unit 1 - Answer all questions in spaces provided in the Question Paper
• Revision Paper for Unit 2 - Answer all questions on writing papers. Refer to the instructions at the top of the question paper

## Sunday, 8 February 2015

### Let's have FUN with Approximation

Let's test our skills to Rounding off numbers to Decimal Places & Significant Figures

Go to the Game Centre and choose the following:

Update (9 February 2015, 5 pm)

### AceLearning Portal - The Account is Ready!

Dear S1-01

• It must not be your NRIC number.

You will need to login to the account, with the letters in upper case.
E.g. A1234567B

### A new platform for Discussion & Sharing

Dear S1-01

I've created a "classroom" where we can carry out discussions. For example, if you have a question to ask, you can post it there to invite your classmates to help answer.

In addition, we could possibly use the "classroom" to submit digital versions of work.

Note that "Google Classroom" is still pretty new... and we are exploring it together :)

Cheers

## Friday, 6 February 2015

### Point to Ponder... Significant Figures

Study Notes: Lesson 2 (p3) We'll discuss this in our next lesson

## Thursday, 5 February 2015

### Getting to Know Singapore

In this activity, you are going to assume the role of a Singapore Ambassador, to make recommendations of interests to tourists visiting Singapore. You will introduce a significant landmark by highlighting the features of the landmark using some ‘vital statistics’ in a digital poster.

The digital poster
1. should have the title that tells the reader brief info about the place
2. should have at least 3 exact figures and 3 approximated figures to provide useful information about the landmark to the tourists; remember to provide context to the figures
3. should have relevant images of the landmark
4. can be created using KEYNOTE or any digital medium that enables you to create a digital poster.
• indicate which figures are exact and which are approximated that are found in the poster
• cite the sources where the information and images that you use in the poster
Your final product should be an image. (export/ save your work as an image file)
Post the image in the padlet (at the end of this post).

Submission:
• Post your
• Deadline: 6 February 2015 (Friday), 2359h

Here is the list
1. Attraction: Singapore Changi Airport
2. Attraction: The Singapore Flyer
3. Attraction: Singapore EXPO
4. Attraction: Singapore Suntec City
5. Attraction: Istana Kampong Glam
6. Attraction: Chinatown
7. Attraction: The Singapore Zoo
8. Attraction: Night Safari Singapore
9. Attraction: Jurong Bird Park
11. Attraction: NEWater Visitor Centre
12. Attraction: National Museum of Singapore
13. Attraction: Asian Civilisations Museum
14. Attraction: The ArtScience Museum
15. Attraction: Singapore Philatelic Museum
16. Attraction: Singapore Discovery Centre
17. Attraction: Marina Barrage
18. Attraction: Singapore Botanic Gardens
19. Attraction: Bukit Timah Nature Reserve
20. Attraction: Sungei Buloh Wetland Reserve
22. Attraction: MacRitchie Reservoir Park: Tree Top Walk
23. Attraction: Pulau Ubin: Chek Jawa
24. Attraction: Sentosa: Underwater World Singapore
25. Attraction: Sentosa: Butterfly Park and Insect Kingdom
26. Attraction: Sentosa: Fort Siloso
27. Attraction: Universal Studio, Singapore
28. Attraction: The Singapore Science Centre
29. Attraction: Vegetable Farm - AeroGreen Technology
30. Attraction: Goat Farm - Hay Dairies

This is an example of a Digital Poster in the blog post:

Key information in the FACT SHEET
• 42% of women and 55% of men are approximated figures
• 11 million is an approximated figure
• 20 sports & recreation centres is an exact figure
• 24 swimming complexes is an exact figure
Source:

(B) You are in-charge of ....

### Introduction to Approximation

Read the article, "Nepal in new bid to finally settle Mount Everest height"
http://www.bbc.co.uk/news/science-environment-17191400

Which numbers mentioned in this article are exact figures, which are approximated figures?

### Approximation & Estimation: Making a Sentence

Do Approximate and Estimate mean the same thing?
Hm... in Mathematics, there's something that distinguishes one from another.

So, when you use these words?

• approximation, approximate, approximated, ...
• estimation, estimate, estimated, ...

Construct a sentence to illustrate your understanding.

### The "Guessing" Game

• Visit http://goo.gl/QOJAtZ
• Choose “Multiply Tens” for Game Type.
• Score as much as possible within the timeframe of the game.

Source: My Paper Friday August 8, 2008
Can you tell... which is an exact figure? which is an approximated/ estimated figure?

### Investigating Recurring Decimals

Our Investigation... with a spreadsheet, we generated the decimals for fractions from 1/1 to 1/50:

Below is part of what we have generated...

During the lesson, we learnt that there are some limitations from the spreadsheet (software), which includes the number of decimals that it could display. As a result, the we are unable to conclude if some fractions could be converted to recurring decimals or not.

e.g. 1/23 a recurring decimal?
From the spreadsheet, we are unable to observe any repeating pattern of numbers.

Using another online application, Wolfram Alpha, we get:
In fact, 1/23 is a recurring decimal with a period of "22"

Similarly, with Wolfram Alpha, we get:
1/29 results a recurring decimal with a period of "28"

From the above, we can conclude that all rational number can be expressed as either a recurring decimal or a terminating decimal.

Hence, other real numbers that are non-recurring and non-terminating are irrational numbers.

Extension...

Now, look at the fractions and the resulting recurring decimals.
Look out for some interesting patterns of the recurring decimals... are you able to draw out some patterns?
Hint: Look out for the characteristics of some of the denominators

Enter your observations below... remember to key in your group number before submission.

## Monday, 2 February 2015

### Key Points for... Fractions

Below are some key points of today's discussion:

Homework:
Complete Assignments 2.4 and 2.5 - to be submitted in the next lesson.

### Error Analysis - 01 Primes, HCF, LCM - Selected Questions from Lesson Notes (I)

What is wrong with the working?

Example 7

### Error Analysis - 01 Primes, HCF, LCM - Selected Questions from Lesson Notes (II)

Part (a) Can you tell what is wrong with the working?

Part (b) While the answer is correct, how can we improve on the presentation of the working?