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I learnt that by adding the 2 previous numbers, you can get the next number. Also, I learnt that there is a house that has the same area as the golden rectangle. The golden rectangle has a ratio of its length to the breadth as 1:1.618. I find the golden ratio useful as when the rabbits question appears, I know how to solve it. If I become an engineer, I can use the golden rectangle as a method to make a house. My question is, how did the golden rectangle come about?

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3 things I have learnt
1) The golden ratio is used for designing buildings.
2) The golden ratio is used for painting paintings.
3) The golden ratio is pleasing to the eyes.
2 things I find useful
1) I can paint a painting using the golden ratio and it would be pleasing to the eyes.
2) I understand how to answer questions based on the golden ratio.
1 question I still have
1) Why is the golden ratio pleasing to the eyes?

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3 things I learnt:
1.The golden ratio is 1:1.618
2. It can be found around us.
3. It is pleasing to our eyes.
2 things I find useful:
1. It can be used to solve some math questions.
2. I can use the golden ratio to draw.
1 question I still have:
How was the golden ratio created?

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3 things I learnt:
1) The golden ratio is 1:1.618
2) Things with the golden ratio are pleasing to the eye.
3)  it is used for things like buildings and paintings.

2 things I find useful:
1) When I draw, I can use the golden ratio.
2) I can solve questions based on this easily.

1question I still have:
Who invented the golden ratio, and why?

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3 things that I have learnt:
1)The golden ratio is used for architecture to design buildings.
2)The golden ratio is 1:1.618.
3)The golden ratio is related to the Fibonacci numbers.
2 things which I find useful:
1) I can help myself to take pictures more accurately as the golden ratio can be used to take pictures.
2)I can use the golden ratio to draw pictures.
1 question which I have:
1)Is the Singapore Merlion use the golden ratio

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3 things i learnt:
1. using the golden ratio to design things are nicer and more pleasant to the eye.
2.  the golden ratio can be found at many places
3.   the golden ratio is 1:1.68

2 things i find useful:
1. It is easier to solve questions.
2. i can build something using the golden ratio and it will be worth a lot of money.

1 question i still have:
1. who created the golden ratio?

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1.I learnt that the golden ratio is 1:1.618.
2.I learnt that things that are designed in the golden ratio are more pleasant to the eye.
3.I learnt that Fibbonaci numbers can be found in nature.
4.If I became a house designer I would use the golden ratio to make the house pleasant to the eye.
5.If these types of questions come out in an exam , I would be able to complete it.
6.How was the Golden Ratio found out?

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3 things I learnt:                                        1.The golden ratio is 1:1.618
2.Many art pieces such as the MONA LISA use the golden ratio as it is nice to see it.
3.The fibonacci number is invented many hundred years ago by a man called fibonacci.
2 Things I find useful.
1.I can make art works with the golden ratio.
2.I can solve questions easily with the fibonacci numbers.
1 Question i still have.
1.Is there any famous buildings in Singapore that use the golden ratio.

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3 Things that I Learnt:
1. The golden ratio is 1:1.618
2. I learnt about the Fibonacci numbers in which you add up the first two numbers to get the third number.
3. The golden ratio is pleasing to the eyes and can be used in paintings.
2 Things I Find Useful:
1. I could solve the rabbit problem and will be able to apply it on other questions or daily lives.
2. I would be able to apply the Fibonacci formula when painting or when building a house.
1 Question:
Other than painting or building houses, how else can we apply the Fibonacci in our lives?

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Things that I learnt:
I learnt that the golden ratio is 1:1.618
I learnt that the golden ratio is used all around us.
I know about the fibonacci numbers
things that are useful
i can build a something based on the golden ratio
I can solve a problem on the fibonacci numbers
Question I still have
How did fibonacci make this pattern?

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3 Things I learnt:
1)The golden ratio is 1:1.618
2)The golden ratio is used all around us in our daily lives.
3)I learnt how the Fibonacci numbers are linked to one another.
2 things I find useful
1)I can build a house according to the golden ratio.
2)I can make a painting according to the golden ratio.
1 Question I still have
When will the numbers stop?

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Things i learnt:

1.The golden ratio is 1:1.618
2.two quantities are in the golden ratio if their ratio the same as the ratio of their sum to the larger of the two quantities. The figure on the right illustrates the geometric relationship. Expressed algebraically, for quantities
3.i understand how to use fibonacci numbers

Things i find useful:
1. the golden ratio can be used to build buildings
2. the golden ratio can be used to solve math questions

Question:
who is the founder of the golden ratio?

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things I learnt:
1. I learnt that the golden ratio is 1:1.618
2. The fibonacci sequence is adding the number before.
3. I learnt that the golden ratio is pleasing to our eyes.
things I find useful
1. I understand using fibonacci numbers.
2.I use it to solve the rabbits problem.
3. If I design a house, i can use the golden ratio.
Question:
How did the founder created golden ratio or fibonacci?

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Q1
1) I learnt that the golden ratio is 1:1.618.
2)The Fibonacci sequence is when a number is equal to the addition of the 2 numbers before it.
3) The golden ratio can be found everywhere in our daily lives.
Q2
1)If I would come across the rabbit question again, I would be able     to answer it.
2) I can create a house using the golden ratio as it would be pleasing to the eye.
Q3
1)How did Fibonacci create this pattern?

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1. I learnt that the golden ratio is 1:1.618.
2. I learnt how useful the Fibonacci numbers were and how the Fibonacci numbers  are related to the golden ratio.
3. I learnt that artist like Leo da vinci use the golden ratio to paint monalisa and it is pleasing to the eyes.
things i found useful.
1. i used the Fibonacci numbers to solve the rabbits problem.
2. If i would design a house, i would use the golden ratio.

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Things I have learnt:
1)The ratio is 1:1.618
2)I I also learnt that Fibonacci numbers can be found all around us.eg :houses
3)Last but not least I learnt that the golden ratio is pleasing to eyes.
Things I find useful:
1)I could understand the rabbit question after trying lots of times after,the rabbit question of the answer was released I
finally understand using fibanachi numbers.
2)I could maybe build a house using the golden ratio and would sell it for lots of money.
Question:
what is the fibanachi number for?

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Things I have learnt:
1.The golden ratio is 1:1.618.
2.The fibbonaci sequence is derived by adding the last 2 numbers to form the next number.
3.The golden ratio can be found in a lot of things.
Things I find useful:
1.I could answer a question if that question is related to the fibbonaci sequence.
2.If i become an architect,I could use to make a house that is nice with the golden ratio.
Question:
Since the fibbonaci sequence starts with 0,wouldn't the next number be 0 and the sequence will just be 0,0,0,0,0,0......?

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1.I learnt that the golden ratio is 1:1.618
2.I learnt that things which are designed in the golden ratio are more pleasant to the eye
3

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Things I learnt:
1)  I learnt that the Golden Ratio is 1:1.618.
2) I learnt that the Fibonacci numbers are derived from the two numbers before that number. (E.g: 1,1,2,3,5,8...)
3) I learnt that the Fibonacci sequence is all around us.

Things I find useful:
1) I finally understand the working behind the rabbit question.
2) If my teacher asks my class to do a question using the Fibonacci sequence, I could solve it quickly.

My Question:
Aside from the Fibonacci sequence on artefacts, what other uses are there for the Fibonacci sequence?

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1.I learnt that the golden ratio is pleasing to the eye.
2.The  golden ratio is 1:1.618.
3.The fibonacci numbers was created by a person called Fibonacci.
1.I found out that  fibonacci makes our artefacts nice.
2.I  understood the rabbit problem.

Question:
Why did  people create the fibonacci numbers.

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things that i have learnt
1.The golden ratio is 1.618
2. The Fibonacci numbers is a series of numbers where the sums of the previous 2 numbers add up to the next number.
3.The golden ratio is everywhere. It can be on anything. (E.g. flowers,houses)
Things i find useful:
1.I can explain to my friends what the fibonacci Numbers are.
2. I can solve the Rabbit question

My question
Why was the Fibonacci numbers created?

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What I learnt:
1)The Fibonacci numbers was created by a person named Fibonacci.
2)Golden Ratio is always pleasing to eye.
3)Golden Ratio is 1:1.618
What I find useful:
1)I will be able to design nice houses.
2)I will be able to make my artwork nice.
My question:
1)Why did the mathematician Fibonacci create the fibonacci numbers?

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I learnt that the golden ratio is somewhat the most pleasing to the eye.
I also learnt that the Fibonacci is a series of numbers that have numbers that is equal to the sum of the two numbers behind it(except for the first two which is 1 and 1)
I learnt that the golden ratio is 1:1.618
I find able to learn about the golden ratio useful as they make our artworks or artefacts to look nice
I find being able to know how to answer and understand the rabbits question useful
My question:
How does Fibonacci numbers affect our lives?

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I learnt about fibbonaci numbers,golden ratio is things that are even,ratio is much more than numbers

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I learnt about fibbonaci numbers,golden ratio is things that are even,ratio is much more than numbers

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I would know what is a fibnonaci number and i would understand the rabbit problem.

How is it invented?
By yie jun

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Things I learned:
1) To get the next number, you had to add up the two numbers before it .
2) The golden ratio is 1:1.618
3)The Fibonacci pattern can be on pineapples, cauliflowers, flowers like roses or jasmines.
Things that I find useful:
1) If someone should ask me what is the Fibonacci formula, I would be able to answer the person.
2) If I become a house designer, I would be able to apply the golden ratio method and design a nice house.
My question:
1)Why must the Fibonacci method be called the Fibonacci method? Why could
n't it be called something else, but with similar meaning

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The things I learnt:
1) The fibonacci number are number that have the sum of the previous 2 number. If the first number is let's say 1, the next number is 1 as before the first 1, there is no number before it so it will be 1+0=1. The third number is 2 as the previous 2 number are 1, so 1+1=2. The fourth number is 3 as it is 1+2=3 and so on. the next number would then be 2+3=5 and after that is 3+5=8.
2)The Golden Ratio is found almost everywhere around us. Like how some houses are built, the bracts of pinecones and even the scales of the pineapple.
3)The fibonacci numbers were made more than 800 years ago when a person named  Leonardo Fibonacci invented the question 'Rabbits Problem'.
Things I find useful:
1) When someone asks me the 'Rabbits Problem' again, I would be able to answer him and explain why it is like that.
2)If someone or a teacher suddenly says to the class,"Ok class, now let's do the topic fibonacci ." I can apply what I have learnt to do whatever question the teacher posts.
My question:
Can the Golden Ratio be used for other objects like circles, squares or is it just for rectangular stuff?

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Things that I learnt:
1. Objects with proportions in the Golden Ratio tend to be more pleasing to the human eye.
2. The first 2 numbers of the Fibonacci series are always 1 and 1.
3. Golden Ratios can be found all around us. From the leaf arrangements in plants, to the pattern of the florets of a flower, the bracts of a pinecone and even the scales of a pineapple.
Things that I find useful:
1. If I were to be an architect, I could use the Golden Ratio in my design to make the house more pleasing to the human eye.
2. If anyone asks me about the Fibonacci series in the future, I would be able to answer.
My Question: Is the Golden Ratio necessarily rectangular?

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Things I learnt:
1)Fibonacci numbers are a series of numbers that are derived by adding the first 2 numbers to get the third number.(eg 1,1,2,3,5,8...)
2)The golden ratio is 1:1.618.
3) The Fibonacci pattern can be found around us.(eg petals on flowers)
Things I find useful:
1) I am now able to explain clearly what the Fibonacci numbers actually are and how to derive the formula for it.
2)If anyone asks me the rabbit question again, I would be able to solve it using the Fibonacci formula.
One question:
1) Is it only when the ratio 1:1.618 that is applied to objects, then it would be pleasing to the eye?

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1. I learnt that the Golden Ratio is 1:1.618.
2. I learnt that to derive a number in the Fibonacci Numbers, you have to add the previous 2 numbers. The first 2 numbers are 1.
3. Things that have the Golden Ratio are said to be pleasing to the eye. The Golden Ratio is in some things found in our daily life, like sunflowers, roses, and daisies.

1. I find it useful as I can use this new concept that I have learnt to solve similar Maths questions.
2. I find it useful as if I was an architect, I could incorporate the Golden ratio in my house design.

1. My question is how did Fibonacci come out with the theory?

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Response from Belle                      What I learnt:                                    1)The golden ratio is 1:1.618.     2)Things with the golden ratio is always pleasing to the eye.    3) The golden ratio can be found in nature. 

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Response from Belle                      What I learnt:                                    1)The golden ratio is 1:1.618.     2)Things with the golden ratio is always pleasing to the eye.    3) The golden ratio can be found in nature. 

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What I learnt:
1. Fibbonacci created the "Fibbonacci Numbers". It is a series of numbers in which you add the first and second number to get the next number. It is a solution to the rabbits question he posed more than 800 years ago
2. The Fibbonacci Numbers are related to the golden ratio.The Golden Ratio is 1:1618. Things around us can be very close to the golden ratio. Example: Our student card. Things that had the golden ratio would be pleasing to the eye.
3. The Fibbonacci Numbers are found in flowers, like the 3 petal lily and the 5 petal wild rose.
What I find useful:
1. I can explain to someone the Golden Ratio and how the Fibbonacci Numbers work to someone who does not know about it.
2. I can use this new concept I learnt in my daily life and solving Math questions.
Question: What other times could we apply the Golden Ratio to our lives?

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1. I learnt that you could get the first to numbers to get third number.
2. I learnt that the golden ratio is 1:1.618
3. I also learnt a building that is a golden ratio look pleasing to the eye.

1.  I find it useful as if I have to do something that involves the golden ratio, I would be able to do the work.
2. I find it useful as if someone walks up to me and ask me about the golden ratio, i would be able to answer the person without much difficulty.

1. My question is, was the golden ratio created to solve a particularly large problem

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Learnt
1. I learnt that the fibonacci number is a series of numbers in which each number is the sum of the 2 numbers before it.
2. I learnt that the fibonacci pattern can be found in the nature around us.
3. I learnt that the fibonacci pattern can also be found in buildings
Useful
1. I find it useful as if a teacher asks me to solve the rabbit question, I am able to solve it.
2. if i ever need to study the planet, the fibonacci would be useful. for example, the picture below.
question:
Was the fibonacci spiral only to make buildings, or where there other reasons

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By tan yie jun

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What I have learnt:
1. I learnt that the Fibonacci numbers are the addition of the two previous number is the answer for the next number.
2. I learnt that golden ratio is found everywhere in the world. Example the notice board, white board etc.
3. I learn that the architect design buildings with a golden ratio to look more pleasing to human's eyes.
How I find it useful:
1. I find it useful as if another teacher teaches the class the Fibonacci method, I am able to solve and explain the answer.
2. I can use this new method/ concept to solve other different  math question
My Question:
Why did the Fibonacci method named after the mathematician Fibonacci?