Unit 2 Amazing numbers Cross-curricular connection 同步分层作业 2026-2027学年沪教版初中英语八年级上册

Unit 2 Amazing numbers Cross-curricular connection & Checking your progress 分层作业 建议用时：30分钟 一、单词汉译英（Cross-curricular：自然与计算机中的数字 Numbers in maths, nature and computers） 1. 规律；模式 ____________ 2. 螺旋 ____________ 3. 向日葵 ____________ 4. 花瓣 ____________ 5. 松果 ____________ 6. 数列 ____________ 7. 计算机 ____________ 8. 二进制的 ____________ 9. 数字；数位 ____________ 10. 代码 ____________ 11. 科学 ____________ 12. 海贝 ____________ 二、短语汉译英（教材原短语） 1. 一列数字 ____________ 2. 把……加起来 ____________ 3. 在自然界 ____________ 4. 反复地 ____________ 5. 算出；解出 ____________ 6. 来自 ____________ 7. 在……的中心 ____________ 8. 紧挨着 ____________ 三、词形变换（写出下列单词的名词形式） 1. true → ____________ 2. wise → ____________ 3. free → ____________ 4. long → ____________ 5. strong → ____________ 一、单句填空（用括号内单词的正确形式填空） 1. The numbers 1, 1, 2, 3, 5, 8 ____________ (be) the start of the Fibonacci sequence. 2. If you ____________ (add) the two numbers together, you get the next one. 3. Many flowers ____________ (have) petals in Fibonacci numbers. 4. Computers ____________ (use) only two digits, 0 and 1. 5. Look! The little snail ____________ (make) a beautiful spiral. 二、根据汉语意思完成句子（每空一词） 1. 数字在自然界无处不在。 Numbers are ____________ in nature. 2. 把这两个数字加起来，你就得到下一个数字。 ____________ the two numbers ____________, and you will get the next one. 3. 向日葵的种子排成螺旋形。 The seeds of a sunflower ____________ ____________ spirals. 4. 计算机只用两个数字工作：0和1。 Computers work with only ____________ ____________, 0 and 1. 5. 数学是许多科学的语言。 ____________ ____________ ____________ ____________ of many sciences. 三、句型转换 1. A sunflower usually has thirty-four spirals.（对画线部分提问） ____________ ____________ spirals ____________ a sunflower usually ____________? 2. The computer works like a light switch.（改为否定句） The computer ____________ ____________ like a light switch. 3. You can find Fibonacci numbers in many flowers.（改为一般疑问句） ____________ you ____________ Fibonacci numbers in many flowers? 4. The pattern is very amazing.（改为感叹句） ____________ ____________ amazing pattern it is! 5. The snail makes a beautiful spiral.（对画线部分提问） ____________ ____________ the snail ____________? 四、选词填空（数学与自然） 【sequence, spiral, pattern, digits, science】 1. 1, 1, 2, 3, 5, 8 ... is a famous ____________. 2. Look at the ____________ of the seashell. How beautiful! 3. Can you find the ____________ in these numbers? 4. The number 305 has three ____________. 5. Numbers help us a lot in ____________. 五、情景补全对话（5个空，6个选项，1项多余） A. What is the next number? B. Where can we find it? C. What are Fibonacci numbers? D. Is it useful in real life? E. Who found the sequence? F. Do you like maths? Amy: Mr Green, 1.____________ Mr Green: They are a list of numbers. Each number is the sum of the two numbers before it. Amy: So the numbers go 1, 1, 2, 3, 5, 8 ... 2.____________ Mr Green: Thirteen. Eight plus five is thirteen. Amy: Amazing! 3.____________ Mr Green: In many flowers and shells, like sunflowers. Amy: 4.____________ Mr Green: An Italian mathematician found it about 800 years ago. Amy: 5.____________ Mr Green: Yes. Even computers work with numbers in a similar way. 拓展提高（课内同源 + 课外同源） Passage1（课内同源：自然界里的神奇数字） 　　Nature loves numbers. If you look carefully, you will find the same pattern again and again. One of the most famous patterns is the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21 ... In this list of numbers, every number is the sum of the two numbers before it. / You can find Fibonacci numbers in many flowers. Lilies have 3 petals, and buttercups（毛茛）have 5. Some daisies have 34, 55 or even 89 petals! / Sunflowers are the best example. Look at the centre of a sunflower. The little seeds grow in spirals, and the numbers of the spirals are usually 34 and 55, two Fibonacci numbers next to each other. Pinecones and pineapples grow in the same way. Seashells also carry a beautiful spiral, growing wider and wider. / Why does nature like these numbers? Scientists say this pattern helps plants use sunlight and space in the best way. / Maths is not only in our exercise books. It is a quiet language of nature. Next time you see a sunflower, count its spirals, and you will meet an amazing number friend. 任务一：单项选择 1.What is the rule of the Fibonacci sequence? A.Every number is twice the one before it. B.Every number is the sum of the two numbers before it. C.The numbers go down one by one. D.The numbers are all odd. 2.Why does nature like the Fibonacci pattern? A.Because it looks beautiful. B.Because it helps plants use sunlight and space well. C.Because flowers have no other choice. D.Because bees count the petals. 任务二：判断正误(T/F) 3.Some daisies have 34, 55 or even 89 petals. (　　) 4.The numbers of a sunflower's spirals are usually 34 and 55. (　　) 任务三：简答 5.Where can we find Fibonacci numbers in flowers? Give one example. _______________________________________________________________________________________________ Passage2（课外同源：计算机的语言——0和1） 　　Computers are very clever, but do you know their secret? They only know two numbers, 0 and 1. This way of counting is called the binary system. / In our everyday life, we use ten digits, from 0 to 9. But a computer works like a light switch: on is 1, and off is 0. With these two digits, the computer can make every number. For example, in binary, the number 2 is written as “10”, and 3 is “11”. / How can a computer show words and pictures then? Everything inside becomes numbers. Each letter has its own number code, and every photo is millions of small colour dots, each with its numbers. When you send a message, your phone changes it into 0s and 1s, sends them, and your friend's phone changes them back. All this happens in less than a second! / The binary system shows an amazing truth: two simple numbers can build the whole digital world. Sometimes, simple things are the most powerful. 任务一：单项选择 1.What digits does a computer use? A.0 to 9. B.Only 0 and 1. C.Only 1 and 2. D.All the even numbers. 2.How is the number 3 written in binary? A.“10”. B.“11”. C.“01”. D.“13”. 任务二：判断正误(T/F) 3.Each letter has its own number code inside a computer. (　　) 4.It takes a computer about an hour to send a message. (　　) 任务三：简答 5.What do we call the way of counting with only 0 and 1? _______________________________________________________________________________________________ 任务四：单元微写作 请写一段话介绍一种你发现的数字规律（自然界或生活中均可），不少于6句话。请写清规律是什么、你在哪里发现的以及你的感受，并用上 pattern 和 amazing。 _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ 参考答案 夯实基础 一、单词汉译英 1.pattern 2.spiral 3.sunflower 4.petal 5.pinecone 6.sequence 7.computer 8.binary 9.digit 10.code 11.science 12.seashell 二、短语汉译英 1.a list of numbers 2.add ... together 3.in nature 4.over and over 5.work out 6.come from 7.at the centre of 8.next to 三、词形变换 1.truth 2.wisdom 3.freedom 4.length 5.strength 能力进阶 一、单句填空 1.are 2.add 3.have 4.use 5.is making 二、根据汉语意思完成句子 1.everywhere 2.Add; together 3.grow; in 4.two; digits 5.Maths; is; the; language 三、句型转换 1.How; many; does; have 2.doesn't; work 3.Can; find 4.What; an 5.What; does; make 四、选词填空 1.sequence 2.spiral 3.pattern 4.digits 5.science 五、情景补全对话 答案：1.C 2.A 3.B 4.E 5.D；多余项：F 拓展提高 Passage1 任务一：1.B 2.B 任务二：3.T 4.T 任务三简答：5.For example, lilies have 3 petals and buttercups have 5. Passage2 任务一：1.B 2.B 任务二：3.T 4.F 任务三简答：5.We call it the binary system. 任务四范文：Last weekend, I found an amazing pattern on a calendar. I chose three numbers next to each other in one line, like 4, 5 and 6. Their sum is 15, and 15 is three times the middle number 5. Then I tried 10, 11 and 12. The sum is 33, again three times the middle number! After that, I tried the numbers in a column, and the pattern worked too. My maths teacher told me the reason: the three numbers go up by the same step each time. What an amazing pattern! Maths is really everywhere in our life. 学科网（北京）股份有限公司 $