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What do you think the diagram shows
Have you heard of the Fibonacci sequence Do you know what it is
Where can we see the Fibonacci sequence in everyday life
The amazing Fibonacci sequence of numbers
Fibonacci was a famous Italian mathematician born in the 12th century. He created many maths problems. The most famous one was about rabbits.
Imagine that a pair of rabbits can have two babies every month. After two months, the new rabbits can have babies too. What will happen if you have a pair of newborn rabbits on your farm How will the number of rabbits grow over time Let’s look at the answers this way:
This is the beginning of the Fibonacci sequence. Look at the numbers. Can you see any pattern That’s right—each number is the sum of the two previous ones. As we can see, the numbers in the Fibonacci sequence grow very quickly. What numbers come after 8 in the sequence
Fibonacci numbers are very special because they show up everywhere. They appear in artworks and famous buildings, and also in living things. In fact, nature likes to follow the Fibonacci sequence. Flower petals often come in Fibonacci numbers. The same thing happens with the spirals of pine cones and sunflower seeds. We do not know yet why these numbers are so common, but Fibonacci’s discovery can help us understand the natural world.
If you carefully observe the natural world around you, you may find interesting mathematical patterns!
1 Read the article on Fibonacci numbers and find out more about Maths in nature.
We can find examples in flower petals; pine cones and pineapples; sunflower seeds; tree branches.
Discuss
What are the first 10 numbers of the Fibonacci sequence
Why do the numbers in the sequence grow rapidly
Which number comes after 8
Discuss
0, 1, 1, 2, 3, 5, 8, 13, 21, 34.
Because each number is the sum of the two preceding ones.
What are the first 10 numbers of the Fibonacci sequence
Why do the numbers in the sequence grow rapidly
Which number comes after 8
The number after 8 is 13.
If you carefully observe the natural world around you, you may find interesting mathematical patterns!
2 Find a pine cone and count the spirals. How does the number of spirals illustrate the Fibonacci sequence Think about things around you in nature. Have you ever noticed any interesting patterns
If you carefully observe the natural world around you, you may find interesting mathematical patterns!
2 Find a pine cone and count the spirals. How does the number of spirals illustrate the Fibonacci sequence Think about things around you in nature. Have you ever noticed any interesting patterns
Count the number of spirals in each direction—you will probably get two Fibonacci numbers! You can find this pattern in things like sunflowers and pineapples too.
Group work: discuss and think
How do you think the Fibonacci sequence can help us understand nature
Can you imagine a world that doesn’t follow mathematical rules What do you think it would be like
Perhaps it will help us make some important scientific discoveries in the future.
It would probably not be a good place. Nothing would work, and there wouldn’t be any life. Maybe our world would not even exist.
Making a booklet about numbers
In this project, you will explore different types of numbers in groups and make a class booklet about your findings. Think about the following questions in your group:
What number-related topics have you studied in this unit
Which topic do you think was the most interesting
Which number-related topic would you like to explore further
What kind of information should you include
How can you present the information in an attractive way
How should you divide up the work in your group
Numbers
in different cultures
Numbers
in daily life
Numbers
connected to ...
Write a short passage on your topic.
Illustrate your passage with pictures, graphs, etc.
Present your passage to the class. Then put together all your passages to make a booklet about numbers.
Vote for the best group based on the following criteria.
Self-assessment
評價(jià)內(nèi)容 評分（1-5）
1. 我能理解斐波那契數(shù)列的起源、規(guī)律，說出斐波那契數(shù)列的前 10 項(xiàng)。 1 2 3 4 5
2. 我能用所學(xué)語言描述斐波那契數(shù)列的排列規(guī)律。 1 2 3 4 5
3. 我能了解項(xiàng)目任務(wù)的主題，借助手冊展示所學(xué)成果。 1 2 3 4 5
4.我能了解數(shù)字的發(fā)展歷程，與同學(xué)合作制作數(shù)字小冊子。 1 2 3 4 5
Homework
基礎(chǔ)作業(yè)
1. 制作自然觀察手賬：拍攝或繪制三種呈現(xiàn)螺旋排列的自然事物（如多肉植物葉片、松果鱗片等），并用英語標(biāo)注觀察到的數(shù)列規(guī)律。
2. 根據(jù)課堂反饋，完善已有的小冊子。
拓展作業(yè)
1. 制作STEM雙語播客，采訪藝術(shù)教師或生物教師，探討“斐波那契數(shù)列如何架起自然與藝術(shù)的橋梁”，并整理訪談記錄，配以圖示說明。
2. 欣賞其他同學(xué)的作品，修改并豐富自己的作品，并把自己的作品發(fā)布在本班或?qū)W校的公眾號上。

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