内容正文:
Amazing
Amazing
numbers
numbers
Unit 2
Lesson6
Cross-curricular connection
英语沪教版八年级上册
Maths in our life
symmetry /ˈsɪmətri/ 对称
camera tripod
stability of triangle
三角形稳定性
pine cone 松果
spiral ['spaɪrəl] 螺旋
There are interesting
mathematical patterns
(数学规律/现象)
in our daily life!
If you carefully observe the natural world around you, you may find interesting mathematics patterns!
如果你仔细观察周围的自然界,或许会发现有趣的数学规律!
Cross-curricular connection Mathematics
Maths in our life
What mathematical pattern is there in the sunflowers and pine cones?
Fibonacci [ˈfɪbəˌnɑːtʃi] 斐波那契
●Italian mathematician;
●born in the 12th century;
●wrote Liber abaci (1202; “Book of the Abacus”);
●introduced Hindu-Arabic numerals to Europe;
●His name is mainly known because of the Fibonacci sequence.
(Encyclopaedia Britannica) https://www.britannica.com/biography/Fibonacci
[ˈfɪbəˌnɑːtʃi] ['siːkwəns]
What is Fibonacci sequence?
baby rabbits
adult 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?
1. When can new rabbits have babies?
A. After one month.
B. After two months.
C. After three months.
2. What's the pattern of the Fibonacci sequence?
A. Each number is the sum of the three previous ones.
B. Each number is the sum of the two previous ones.
C. Each number is twice the previous one.
Fibonacci sequence
Each number is the sum of the two previous ones.
['priːviəs] adj.前面的
每一项都等于前两项之和。
3. What will be the number of rabbit pairs in month 7?
A. 8
B. 13
C. 21
Fibonacci sequence
斐波那契数列(Fibonacci sequence)是一种经典的数学序列,其特点是从第三项开始,每一项都等于前两项之和。它的名字来源于意大利数学家莱昂纳多·斐波那契(Leonardo Fibonacci),他在 13 世纪的著作中首次系统介绍了这一序列。
按照上述规则,斐波那契数列的前 10 项为:
0,1,1,2,3,5,8,13,21,34,55,89, 144……
植物生长:花瓣数量(如百合 3 瓣、梅花 5 瓣、向日葵花盘的种子螺旋数)、树枝分叉规律等常符合斐波那契数。
螺旋结构:松果、菠萝的鳞片排列,蜗牛壳的螺旋线等,往往包含斐波那契数列的比例。
背景知识
4. Why does the text say Fibonacci numbers are “special”?
A. Because they are easy to calculate.
B. Because they only appear in math problems.
C. Because they show up everywhere.
5. Which of the following is NOT mentioned as a place where Fibonacci numbers show up?
A. Artworks. B. Famous buildings. C. Storybooks.
Read P3 and answer:
出现
Pine cones have two sets of spirals (one clockwise(顺时针方向的), one counterclockwise (逆时针方向的)). The number of spirals in each set is usually Fibonacci numbers (like 5 and 8, 8 and 13). This matches the sequence’s pattern, showing nature follows its rules.
Find a pine cone and count the spirals. How does the number of spirals illustrate the Fibonacci sequence?
P32 2
Wits corner 智慧角
Number rules the universe.
— Pythagoras
数字统治着宇宙。
——毕达哥拉斯
More wits
1. Mathematics is the key and door to the sciences.
数学是科学的钥匙与大门。
2. God used beautiful mathematics in creating the world.
上帝用美妙的数学创造世界。
3. Numbers are the universal language.
数字是宇宙通用语言。
4. A number is worth a thousand words.
一个数字胜过千言万语。
5. God made the integers; all else is man’s work.
上帝创造了整数,其余都是人类的杰作。
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