Friday, 27 February 2015

Algebra: Challenging Question #1 - Simplification

Task:
Within a group, 2 to 3 members will attempt one part of the question.
Show your written working clearly










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

Generalising: From Numbers to Algebra


Click HERE to see our responses

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
  • 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, using 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 interesting challenge... this time, from Mr Dean Ang :)

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



Algebra: Variables & Constants



Click HERE to view responses

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

Thursday, 12 February 2015

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


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

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")

S1 Level Test for Maths

Date: 6 March 2015 (Friday)
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


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

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

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

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. 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 :)

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

Cheers

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
  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.
In your 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
  10. Attraction: The Esplanade
  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
  21. Attraction: The Labrador Park
  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 ....




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?

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.



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, 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?