(
课件网) 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 ... ...
