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课件网) Unit 2 Amazing numbers 主题范畴: 人与社会 主题群: 历史、社会与文化;科学与技术 子主题: 对世界、国家、人民和社会进步有突出贡献的人物;科学技术与工程,人类发明与创新 Key question What is the role of numbers in our daily lives know something about Fibonacci sequence; learn to use strategies such as locating key words to understand the text; know the impact of numbers and mathematical laws in fields like nature and culture. Learning objectives 学习目标 At the end of the class, I’ll be able to: 0、1、1、2、3、5、8 Lead-in Look at the numbers and find out the rule! From the third number on, each number is equal to the sum of the previous two ones. Fibonacci numbers 斐波那契数列 If you carefully observe the natural world around you, you may find interesting mathematical patterns! Cross-curricular connection| Mathematics* Read the article on Fibonacci numbers and find out more about Maths in nature. 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 new born rabbits on your farm How will the number of rabbits grow over time Let’s look at the answers this way: The amazing Fibonacci sequence’ of numbers 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 petals② often come in Fibonacci numbers. The same thing happens with the spirals③ of pine cones④ 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. Fast reading 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 new born rabbits on your farm How will the number of rabbits grow over time Let’s look at the answers this way: What is paragraph one about It introduces _____, a famous Italian mathematician in the 12th century. He derived (引出) _____ from the problem of rabbit reproduction. Fibonacci the Fibonacci sequence 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 quickl ... ...