Task:

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

Show your written working clearly

## Pages

- Home
- Mathematics Framework
- Habits of Mind
- Tips to do well in Maths
- Online Platforms
- Scheme of Work & Assessment
- Submission
- Alternative Assessment: Practice 1
- Content Page
- Arithmetic Laws & Rules
- Real Numbers in Operation (I)
- Real Numbers in Operation (II)
- Significant Figures
- Algebra: Factorisation
- Solving Equations
- Mensuration & Hologram

## Friday, 27 February 2015

## Tuesday, 24 February 2015

## 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

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
- Amadea
- 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, u**

**sing mathematical reasoning.**

*Make an attempt to use ALGEBRA to explain the "trick"?*
Enter your thinking (algorithm) in Comments.

*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

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

**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**

Explain your answer clearly with examples.

Enter your response in Comments.

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

Jennifer says, "

*. "*

**5x**^{2}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?

Enter your suggested lengths in comments.

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.

Enter your suggested dimensions in Comments

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

## Thursday, 12 February 2015

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

### Algebra: Equation vs Expression

**(I) Algebraic Expressions vs Equations**

The following are

**expressions**

**3***x***5 - 2***y**p*+ 2*q*- 45**mn**

**equations**:

**2***x*= 4*x*+ 8 = 20*x*² = 36**2***x*+*y*= 4

*Can you tell the difference between an expression and an equation?***(II) Coefficients, Variables and Constants**

In the following algebraic expressions:

(a) 6

*x*

*x*is a variable- 6 is the coefficient of
*x* - There is no constant

*y*+ 5

*y*is a variable- 2 is the coefficient of
*y* - 5 is the constant

*m*+ 7

*n*+ 9

*m*and*n*are variables- 3 and 7 are coefficients of
*m*and*n*respectively - 9 is the constant

*p*+ 2

*q*- 45

*p*and*q*are variables- 1 and 2 are coefficients of
*p*and*q*respectively - -45 is the constant

*a -*3

*b +*1

*a*and*b*are variables- 5 and -3 are coefficients of
*a*and*b*respectively - 1 is the constant

*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**(select "Algebra")

*Hangman*activity### S1 Level Test for Maths

Date: 6 March 2015 (Friday)

Topics tested:

Time: 0745 to 0845

Duration: 1 hour

Venue: Your classroom

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:

- Your own writing papers (SST heading)
- 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

## 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

Gentle Reminder on the Task.

Gentle Reminder on the Task.

- 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

You will only need to submit the Revision Papers after you return from Lunar New Year

Date:

Note:

**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

Go to the

Update (9 February 2015, 5 pm)

**Decimal Places**&**Significant Figures****Login to AceLearning Portal (with your NRIC number).**

Go to the

**Game Centre**and choose the following:Update (9 February 2015, 5 pm)

### AceLearning Portal - The Account is Ready!

Dear S1-01

Your account to the AceLearning Portal is now ready.

Both

**username**and

**password**are your NRIC number.

- You
**must remember to change your password**. - It must not be your NRIC number.

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

E.g.

**A1234567**

**B**

### 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 :)

Click HERE to access classroom - you'll need to login to your school account first.

Cheers

## Friday, 6 February 2015

### Point to Ponder... Significant Figures

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

What are your thoughts?

Share it in

*Comments*.

## Thursday, 5 February 2015

### Getting to Know Singapore

**(A) The Task**

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

- should have the title that tells the reader brief info about the place
- 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
- should have relevant images of the landmark
- 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).

- Post your
- Deadline:
**6 February 2015 (Friday), 2359h**

Here is the list

- Attraction: Singapore Changi Airport
- Attraction: The Singapore Flyer
- Attraction: Singapore EXPO
- Attraction: Singapore Suntec City
- Attraction: Istana Kampong Glam
- Attraction: Chinatown
- Attraction: The Singapore Zoo
- Attraction: Night Safari Singapore
- Attraction: Jurong Bird Park
- Attraction: The Esplanade
- Attraction: NEWater Visitor Centre
- Attraction: National Museum of Singapore
- Attraction: Asian Civilisations Museum
- Attraction: The ArtScience Museum
- Attraction: Singapore Philatelic Museum
- Attraction: Singapore Discovery Centre
- Attraction: Marina Barrage
- Attraction: Singapore Botanic Gardens
- Attraction: Bukit Timah Nature Reserve
- Attraction: Sungei Buloh Wetland Reserve
- Attraction: The Labrador Park
- Attraction: MacRitchie Reservoir Park: Tree Top Walk
- Attraction: Pulau Ubin: Chek Jawa
- Attraction: Sentosa: Underwater World Singapore
- Attraction: Sentosa: Butterfly Park and Insect Kingdom
- Attraction: Sentosa: Fort Siloso
- Attraction: Universal Studio, Singapore
- Attraction: The Singapore Science Centre
- Attraction: Vegetable Farm - AeroGreen Technology
- 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 ....**

Click

**HERE**to view who's in-charge of which

*attraction*.

**(C) Post your masterpiece here**

You can click

**HERE**to access the padlet wall, too

### 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?

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

Hm... in Mathematics, there's something that distinguishes one from another.

Construct a sentence to illustrate your understanding.

Click HERE to view

**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.

Click HERE to view

### 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.

### About Approximation: Interesting Figures about the Beijing Olympics

*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,

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

Hence, other real numbers that are

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.

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 (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?

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