Tuesday 24 May 2011

List of P4/6 pupils having the Topical Practice Book and Discover Maths 4B Activity Book

5 pupils have not submitted the Maths Topical Practice Book. Please remember to bring it on Friday or when school reopens.
1) Tiffany                             2) Rachel Tay
3) Alfaatih                           4) Qayyum
5) Dayana

Only 10 pupils submitted the Discover Maths 4B Activity Books and they are in the cupboard.
They are :
1) Wang Chenglei                   2) Magha
3) Sharizal                              4) Jared Pek
5) Evan Lai                            6) Owen Nyo
7) Nur Dayana                       8) Peggy Ho
9) Nadhirah                           10) Nurzaharee

The rest of the pupils, please remember to bring it on Friday or when school reopens.

List of P4/4 pupils having the Topical Practice Book

14 pupils have not submitted the Maths Topical Practice Book. Please remember to bring it on Friday or when school reopens.
1) Weijie                              2) Jayven Tan
3) Tay Yan Ming                  4) Khairul
5) Aloysius                           6) Eldora
7) Pandora                           8) Yan Jiayi                         
9) Vanness                          10) Jordon                         
11) Claudia Tan                 12) Dylan Low

Sunday 22 May 2011

All about Decimals

As Decimals will be the next new topic, here are some websites that have different activities on Decimals. You can either go to the http://www.lead.com.sg/ to attend the tutorials or visit the weblinks below to know more about Decimals.
Have Fun!

Decimals number line

More about Decimals

Decimals Interactive Games

Butterfly of the Week - Saturn

This last butterfly that I am introducing to you is known as Saturn. Most of the time, it can only be found in the dense forest ground feeding on rotting fruits and animals' droppings. It is considered one of the huge butterfly I have ever seen. It camouflages so well with the dried leaves on the forest ground, sometimes it's quite difficult to detect it. However once it was alerted, it would take off and disappeared into the dense forest. Unless one was bold enough to chase it by dashing along with it through the forest, most of the time you would miss it. When it opened its wings, there's strikes of bright shiny blue which was very difficult to take using a camera. It took me a couple of months before I could take a real decent shot of it unlike my butterfly enthusiast friends. Here it is, presenting to you Saturn. Hope you will like it . All the best to you! Study well and hard!



Sunday 15 May 2011

Butterfly of the Week - Cruiser

The butterfly I am introducing to you this week is called Cruiser. The first time when I encountered it was at Upper Seletar Reservoir when it was feeding on a pile of dog's faeces. I was a bit put off as I didn't expect such beautiful butterfly actually fed on dog's faeces. However, after gaining much knowledge of butterflies, I realised that feeding on animals' faeces or urines were actually natural for the butterflies. Hope the unusual habits of the butterflies have not put you off. The bright yellow butterfly is really pretty! Hope you will like it!



Tuesday 10 May 2011

Questions and Answers Session (Revision)

Dear 4/4 and 4/6 pupils, in the event while you are revising your Maths and come across difficult questions which you could not solve, feel free to sent your questions here and I will try my best to answer your questions. This is open until your Maths Exam is over this Friday. All the Best to your Exams!
For 4/4, here's the SA1 Q41 answer.

SA1 Test 1 Q41

Monday 9 May 2011

Butterfly of the Week - Horsfield's Baron

This is a sexually dimorphic butterfly, meaning the male and female butterfly have different physical appearance. The male has a broad sky blue marginal across the wings. The female on the other hand has a pale ochreous brown. I have also chanced upon a female laying egg on the tip of the leave. It landed on the leave with its back facing the tip of the leave and moved backwardand laid the egg on the tip of the leave with accuracy and precision. Its caterpillar is also very different from the other caterpillar. I like the sky blue of the male butterfly a lot as I have not seen such beautiful butterfly before. Hope you will like it.






Sunday 1 May 2011

Butterfly of the Week - Commander

Last week, I introduced to you a butterfly with a warrior kind of name - Knight. This week, I will like to share with you a butterfly with some kind of respectable name - Commander. It is dark reddish-brown on the upperside and beautiful underside. My first encounter of it was near our World War 2 hero, Major-General Lim Bo Seng's Grave, after I had paid my respect to him before searching for butterflies. That's why until now, I still have very deep impression of this specie.  Hope you will like it.

 

Tuesday 26 April 2011

Revision Exercises, Worked Problems and Tips for Exams

I will start a series of Revision exercises here including self-marking excel files, worked solutions in powerpoint and some common errors to observe. Hope this will help you revise your work well.

Links to Revision 1 Exercises and Worked Problem Sums

Revision 1 Excel foe checking
https://spreadsheets.google.com/ccc?key=0AmRBxqPvDRabdDlNbXNUbmNZbUpQMVA2N2oydGt6V3c&hl=en&authkey=CKGX5LIB


Revision 1 Problem sums solutions
https://docs.google.com/present/edit?id=0AWRBxqPvDRabZHJzNTZrbV8weG5tNG5nYzg&hl=en&authkey=CJ_nx9UD


Revision 1 Solutions
https://docs.google.com/leaf?id=0B2RBxqPvDRabMjYxNDYwODEtYjU3Yi00OGVlLTk5N2ItZTQ4Nzg5ZDNiZTk1&hl=zh_TW&authkey=CML86fwI


 COME BACK FOR MORE!

Saturday 23 April 2011

Butterfly of the Week - Knight

Whenever the word Knight is mentioned, you probably will think of a warrior riding on a horse. I have great respect for this butterfly, partly because of its name. Mainly, it has beautiful design on its wings which resembles that of a Hawk or an Eagle. The tips of its wings show the design that resembles the Eagle's Head. It's often found in the forest, sometimes at parks. Hope you like it, do write me your reflection.



Thursday 21 April 2011

Maths Olympiads 2010 Questions and Solutions

1. What is the value of the following?
(8 x 4)+(8 x 3)+(8 x 2)+(8 x 1)

Solutions :
Method 1
You just need to know your timestable well to get this questions correct.
32+24+16+8=80

Method 2
Understand that there is a Distributive Law which allows you to add first before multiplying, that is
(8 x 4)+(8 x 3)+(8 x 2)+(8 x 1) = 8 x (4+3+2+1) = 8 x 10 = 80

Find out more about the other laws from the weblink below
http://www.mathsisfun.com/associative-commutative-distributive.html

Q2. A bag contains 18 jelly beans, 4 are red, 6 are white and 8 are blue. Amanda takes them out one at a time without looking. What is the fewest jelly beans she must take out to be certain that at least 2 of the jelly beans she takes out are blue?

Method : Consider the worst case scenario
4 red + 6 white + 2 blue = 12 jelly beans

Q3. A prime number is a counting number with exactly two factors, the number itself and the number 1. In the sequence 2, 5, 11, 23, ... each number is obtained by doubling the previous number and adding 1.What is the first number in the sequence that is not a prime number?

Solution :
You should know about prime numbers before you can attempt this question. Using listing method and checking each number. Noticed that the first four numbers are all prime numbers.
2, 5, 11, 23,...
Continue to list...
47, 95...
95 is not a prime number because it is a multiple of 5.

Quick Answers for the rest of the questions:

4. 120 seconds
5. 66 cm
6. 182
7. 22
8. 26
9. 14 cm
10. 10 marbles
11. 9375
12. $13
13. 24 hours
14. 8 tiles
15. 71
16. $12
17. 12 paths
18. 6 hours
19. 58 cards
20. 27 cubes

Two Fractions Weblinks

Here are what you did in today's P4 Maths Enrichment. The fractions weblinks are as shown.

Clara’s Ice-cream Shop (Fraction)

Tony’s Fraction Pizza Shop

Wednesday 20 April 2011

Painted Cubes

What is a cube?
A cube is a 3 dimensional object with 6 similiar square faces.
All the sides of the cube are of the same size.














If each side of the cube is 1 unit, then the cube can also be called unit cube.
The dimension of the cube is 1 x 1 x 1
Now if we stack up more cubes to a dimension of 2 by 2 by 2 and paint it all round including the base as shown.

















If all the cubes are separated, how many of the cubes have
1 face painted?
2 faces painted?
3 faces painted?
no face painted?

If we set up another set of cubes to a dimension of 3 by 3 by 3 as shown and have it painted all round just like before.















If all the cubes are separated, how many of the cubes have
1 face painted?
2 faces painted?
3 faces painted?
no face painted?

Hope you could think harder to answer the questions.

Saturday 16 April 2011

Butterfly of the Week - Plain Tiger

The Plain Tiger is one of the common butterflies in Singapore. Common in the sense if the host plant (Crown Flower) is present, then it will be around. The caterpillars are rather active but can be cruel too. If there's not enough leaves to feed, then some caterpillars will actually feed on the soft newly formed pupae of its own specie. (that puts me off!) It is also known as African Monarch. The pupae looks like jade pendant. Here it is, hope you will like it!



Thursday 14 April 2011

Symmetry

The websites below will provide some ideas about Symmetry around us.
http://www.linkslearning.org/Kids/1_Math/2_Illustrated_Lessons/4_Line_Symmetry/
http://snowflakes.barkleyus.com/index.html

Create 5 snowflakes from the website above, save it as picture file in your computer and put it in powerpoint and send to me.
My email : commonbirdwing16@gmail.com

The Multiplication Quizzes Website is
http://www.multiplication.com/quizzes.htm
Do the Post Test

Sunday 10 April 2011

Three Prime Number Questions

1.   A prime number is a counting number with exactly two factors, the number itself and the number 1. In the sequence 2, 5, 11, 23, ... each number is obtained by doubling the previous number and adding 1. What is the first number in the sequence that is not a prime number?

2.   Suppose a twinner is a number that is both 1 more than a prime number and 1 less than another prime number. For example, 30 is a twinner because 29 and 31 are both prime numbers. What is the sum of the three least twinners?

3.   111 111 is the product of 5 different prime numbers. What is the sum of those 5 prime numbers?

Sent your answers to my email : commonbirdwing16@gmail.com

Higher Order Thinking Questions (1)

1.   Joshua writes a four-digit number whose digits are 3, 5, 7 and 9, not necessarily in that order. The number is a multiple of 5. The first two digits and the last two digits have the same sum. The thousands digit is larger than the hundreds digit. What is Joshua's number?

2.   One hat and two shirts cost $21. Two hats and one shirt cost $18. Megan has exactly enough money to buy one hat and one shirt. How much money does Megan have?

3.  

Butterfly of the Week - Common Hedge Blue

This specie can often be encountered in the forests and can be quite tame for photographic session as compared to the other species. The open wings of this butterfly is shining blue. It's quite common to be seen and sometimes people tend to give it  a miss as there are many other pretty butterflies around. Hope you like it!


Add caption


Saturday 9 April 2011

Hummingbird and Sunbird

A kind-hearted boy saw a small sunbird outside his house and brought the bird to school and asked Uncle Jason to hand to Mr. Koh. He thought that this was a Hummingbird. Unfortunately, there's no hummingbird in this region, exception Jurong Bird Park. Apparently, this is a Olive-backed Sunbird. Mr. Koh went to a bird shop to ask for the price of a birdcage and the cheapest cost $18. He decided to setup his own bird cage for the little sunbird. Poor Mr. Koh has to baby-sit the bird for the weekends. Here's a photo of the sunbird and the website that also provides some info about this specie of bird.

http://www.naturia.per.sg/buloh/birds/Nectarina_jugularis.htm

Thursday 7 April 2011

Alternative Assessment - Powerpoint for Fashion Store

Here are the items to be included in your powerpoint slides to be sent to me :

1) Slide which include the name of your store and members' name
2) Slides which includes the name of your items including a short description (less than 20 words), how much you pay for it and how much you are going to sell it.
3) The pictures of the ten items.
4) The quantity (how many) of the items
5) The total cost of all the items
6) The total amount of money you expect to collect

Email your powerpoint to commonbirdwing16@gmail.com

What are Prime Numbers?

Prime numbers can be defined as numbers which have exactly two factors, one and itself. As a result, 1 is not considered as a prime number as it does not satisfy the condition. The first prime number, also the only even prime number is 2. It has exactly two factors, 1 and 2. Can you find out all the other Prime Numbers less than 100. Here are some websites that can help you to know more about Prime Numbers.

http://home-ed.info/maths/prime_numbers.html
http://www.icteachers.co.uk/children/sats/primes.htm
http://primes.utm.edu/
http://mathforum.org/isaac/problems/prime1.html
http://www.hbmeyer.de/eratclass.htm

Wednesday 6 April 2011

Questions for Enrichment Programme 3

Look at the patterns of the butterflies.

Use the following choices (1, 2, 3 or 4) for the following questions.

Q1.Which butterfly is on the 46th position?


Q2.Which butterfly is on the 67th position?


Q3.Which butterfly is on the 648th position?


Q4.Which butterfly is on the 9997th position?


Q5.Which butterfly is on the 8887th position?

Post your answers to my email : commonbirdwing16@gmail.com

Good Luck!




Third Session of Brain Building for P4

The activities for the next two weeks will be familiarising and mastering the Strategy game known as Bloxorz.

Game Instructions:
1)  The aim of the game is to get the block to fall into the square hole at the end of each stage. There are 33 stages to complete.
2)  To move the block around the world, use the left, right, up and down arrow keys. Be careful not to fall off the edges.  The level will be restarted if this happens.
3)  Bridges and switches are located in many levels.  The switches are activated when they are pressed down by the block.  You do not need to stay resting on the switch to keep bridges closed.
4)  There are two types of switches:  "Heavy" x-shaped ones and "soft" octagon ones...  Soft switches (octagons) are activated when any part of your block presses it.  Hard switches (x's) require much more pressure, so your block must be standing on its end to activate them.
5)  When activated, each switch may behave differently.  Some will swap the bridges from open to closed to open each time it is used.  Some will create bridges permanently. 
Green or red colored squares will flash to indicate which bridges are being operated.
6)  Orange tiles are more fragile than the rest of the land.  If your block stands up vertically on an orange tile, the tile will give way and your block will fall through.
7)  Finally, there is a third type of switch shaped like this: ( )    It teleports your block to different locations, splitting it into two smaller blocks at the same time.  These can be controlled individually and will rejoin into a normal block when both are places next to each other.
8)  You can select which small block to use at any time by pressing the spacebar.  Small blocks can still operate soft switches, but they aren't big enough to activate heavy switches.  Also, small blocks cannot go through the exit hole -- only a complete block can finish the stage.
9)  Remember the passcode for each stage.  It is located in the top right corner.  You can skip straight back to each stage later on by going to "Load Stage" in the main menu and entering the 6 digit level code.

Pls see the following websites for the above activities.
http://www.coolmath-games.com/0-bloxorz/index.html

Let me know how far you have progress after that. Have FUN!

Monday 4 April 2011

Solutions for Mathematics Enrichment Session 2 Questions

(1) 4
(2) 8
(3) 16
(4) 45
(5) 36
(6) 285

Detail solutions for Q6.

100

200 201
210 211

300 301 302
310 311 312
320 321 322

400401 402403
410411 412413
420421 422423
430431 432433

500501502 503504
510511512 513514
520521522 523524
530531532 533534
540541542 543544

:      :      :      :      :      :      :
:      :      :      :      :      :      :

900, 901, 902, 903, 904, 905, 906, 907, 908
:
:
:
:
980, 981, 982, 983, 984, 985, 986, 987, 988

Total is
(1×1) + (2×2) + (3×3) + (4×4) + (5×5) + (6×6) + (7×7) + (8×8) + (9×9)

= 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 = 285

Sunday 3 April 2011

Butterfly of the Week - Harlequin

I have never expected such beautiful butterflies actually existed in Singapore. The only different is this specie can only be found in forests and they tend to hop around and fly in very short distance. The site that they were discovered were threatened because of construction and soon their habitat would be destroyed. The only way that some people did was trying to shift their habitat to else where but may not be successful. In our land scarce Singapore, building more houses, shopping malls and condominium mean less land for nature.


Thursday 31 March 2011

Mathematics Enrichment Class Session 2

Here are the questions for this week. I find it rather interesting, hope the same goes for you.

1.     When the same whole number is added to both the numerator and denominator of 2/5 , the value of the new fraction is 2/3 . What number was added to both the numerator and denominator?
2.     When the same whole number is added to both the numerator and denominator of 4/7 , the value of the new fraction is 4/5. What number was added to both the numerator and denominator?
3.     When the same whole number is added to both the numerator and denominator of 2/5, the value of the new fraction is 6/7. What number was added to both the numerator and denominator?
4.     How many two-digit numbers are there in which the tens digit is greater than the ones digit?
5.   How many two-digit numbers are there in which the ones digit is greater than the tens digit?
6.     How many three-digit numbers are there in which the hundreds digit is greater than the tens and the ones digit?

Q5 Solution

Solution for Q5

317+1= 318
318÷2 = 159
159+1 = 160

The number of the very next page is 160.

Q4 Solution




Wednesday 30 March 2011

Q3 Solution for Olympiad Training (1)




Solutions for Q2 of Olympiad Training (1)

Solutions for Q1 of Olympiad Training (1)

Solutions
1.         First, find the least common multiple for 6 and 14.
6, 12, 18, 24, 30, 36, 42, 48, …
14, 28, 42, 56, …
The least common multiple is 42.
Then find the least common multiple of 42 and 15.
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, …
42, 84, 126, 168, 210
The least common multiple is 210.

Sunday 27 March 2011

Angles

Here are some useful websites for Angles for your reference.
http://www.tjleone.com/a08_name_angles.htm
http://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html
http://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm
http://nlvm.usu.edu/en/nav/frames_asid_127_g_2_t_3.html?open+activities

Butterfly of the Week - Five Bar Swordtail

This week's beautiful butterfly is known as Five Bar Swordtail. It's one of the prettiest butterfly in Singapore and will normally encounter them at the forests. It is a fast flying butterfly and most of the time, before you notice it, it's already far far away. Hope you will like it!









Thursday 24 March 2011

P4 Inc Modular Online Shopping

Nature of store : Fashion

Products to be included (at least 10)

Useful websites :


You are only given a budget of $1000 to open an online store.  Please constantly check with the EXCEL file (Planning), key in the items, the cost of each item and how many you intend to have.  Make sure the total cost does not exceed $1000.  Have at least 10 items.

Mathematics Enrichment Class Session 1

Here are the questions for today's session. It's alright if you can't do the questions now. I will post some of the facts and website for you to gather more knowledge to help you do these questions.


Q1. 6, 14 and 15 are factors of a whole number. What is the smallest value that this number can be?

Q2. A fisherman sold some big fish at $4 each and twice as many small fish at $1 each. He received a total of  $72 for the big and small fish. How many big fish did he sell?

Q3. A Magic Square has the property that the sum of three numbers in each row, column and diagonal is the same. What is the number at the centre of the Magic Square as shown?



Q4. Mr Tay went to a store and spent half of his money and $14 more. He went to another store and spent one-third of his remaining money and $14 more. Afterwhich he had no money left. How much did he have when he entered the first store?

Q5. When I open my story book, two pages face me and the sum of the page numbers is 317. What is the number of the very next page?

Wednesday 23 March 2011

P4 Inc Enrichment starting on Thursday (24 March 2011, 2 pm - 3 pm)

This programme aimed to enhance your Mathematical thinking skills, attitude and alertness so that you could apply these skills into your daily learning.
It will last for a term (6 weeks) starting this Thursday, 24th March 2011, 2 pm to 3 pm in school.
For the first two weeks, you will be doing some memory and minesweeper games in your computer.
Here are the websites you can try on.
Memory Pattern
Simon Says
Minesweeper
Minesweeper tutorial
Let me know how you fare in these games.
Have FUN!