内容正文:
Unit 2 Amazing numbers
沪教牛津版八年级上册
Key question
主题范畴:人与社会
Reading I
Why are numbers amazing?
1
Before you read
Numbers are everywhere. Look at the pictures and discuss where you can see numbers in your daily life.
flight schedule
clock face
charts and graphs
price tag
calendar
航班时刻表
图表和图形
钟面
价格标签
日历
Amazing numbers
3. How to use 2,5,6,7 to get 24?
1. What does MMXXIV refer to?
2. How to express 3051 in Roman numerals?
2024.
M--1000
X --10
L--50
C--100
D--500
MMMLI.
+ plus
- minus
× times
÷ divided by
= equal/is
2×6+7+5
Read a story about numbers
Who are these two people?
Where were they ?
When did this happen?
What are they doing?
The old man and the king
Who are these two people?
Where were they ?
When did this happen?
What are they doing?
Story
A king and an old man.
In India.
A long time ago.
Playing chess.
Task 1: Look at the picture, the title and the first paragraph.
The beginning:
A long time ago, there was a king in India.
His favourite game was playing chess.
the king ~ the old man
My favourite game is _________.
I will___________ you to a game!
I _________ that you can have
_____ _____ if you win the game.
chess
challenge
I must buy a Christmas
present for my dear Della.
A ______ old man came to the palace.
Task 2: Read for characters—the old man and the king
promise
any prize
wise
confident,
proud
wise,
old
Read the beginning part (Para 1-2) and complete the missing words.
What do you think of them?
What’s the setting?
What are the problems of the story?
What’s the result ?
Beginning
Middle
Ending
We can learn a story with “Story Mountain”.
Reading strategy
Para 1~2
Para 3~6
Para 7
The old man won the game and the king realized the big problem.
The king challenged the old man to play chess and promised a prize.
The old man thought for a moment and said slowly, “If I win the game, I’d like one grain of rice for the first square of the chessboard, two for the second, four for the third ... I’d like you to double the amount for each of the rest of the squares.”
Read the middle part (Para 3-6) and complete the missing words.
Square Grains the power of two
1 1 2^0
2 2 2^1
3 4 2^2
4 8 2^3
... ... ...
64 ? 2^63
Doubling
Numbers
Discuss: How many grains of rice would be in total?
The total: 20+ 21+ 22+ 23+ ...+263
Think:How many grains of rice did the old man count? Why?
What did the king think of the prize? Why?
Think:How many grains of rice did the king count? Why?
Match the dialogues to the characters, and then answer questions.
What are their personalities (性格)?
confident
ignorant 无知的
calm,
determined坚决的
A. "I want one grain for the first square, two for the second, four for the third, and double the amount for each next square."
B. "No, just rice."
C. "Is that all?"
D. "Wouldn't you like gold or silver instead?"
E. "Perhaps a bag of rice is enough.”
What was the result?
The old man _______the game.
won
When did the king realize the problem?
How many grains of rice should the king put on the last square?
约1844.7万亿吨
全球每年大米产量约5万亿吨
全球 369年的大米总和
Bring ____ ____ ____ rice!
Put one grain on the first
square, and...
I must buy a Christmas
present for my dear Della.
I _____ the game!
A ______ ______ can turn into a big problem.
a bag of
won
Read the ending part (Para 7) and discover the result of the story.
How do they feel at the end?
_________! Even all the
rice in the country is
_____ ______
Problem
not enough
small number
shocked,
defeated (挫败)
satisfied
challenged the old man
thought a bag of rice was enough
heard the old man’s rice deal
confident/ proud
When the king...
He felt...
saw the rice be put on the chessboard
surprised/ confused
easy/ relaxed
shocked
knew realized the problem
defeated/ helpless
Task 3: Read for emotions.
Read the story again and track how the king’s feelings changed.
1. Could you help the king to solve the problems?
Post-reading
Your ideas
How can the king solve the problem?
1. Send the old man to prison and forget about the game.
2. Ask the old man to count the rice himself.
3. Ask the old man to think of another prize.
Setting Time (1) .
Place (2) .
Characters (3) .
Plot Beginning The king (4) .
.
Middle The king and the old man (5) .
.
End (6) .
.
a long time ago
India
a wise old man and the king
challenged the old man to a chess game and promised to give him any prize if he could win the game
played the game for a long time
Comprehension
1 Complete the table with the information from the story.
The old man won the game and the king realized he didn’t have enough rice to give
2 Read the story again and find evidence to support the statements below.
1 The king loved to play games.
2 The king thought the old man asked for too little.
3 The king did not have enough rice for the old man.
The king’s favourite game was chess.
The king was very surprise. “Is that all?” he asked. “Wouldn’t you like gold or silver instead?”
After a few squares, the king realized the problem - even with all the rice in the country, he would still not have enough rice to put on the chessboard!
Let’s see how a small number grows into a big problem!
four for the third
double, the rest
not have enough
7
8
9
challenge
promise
favourite, chess
1
2
3
grain, square
one for the first
4
5
6
two for the second
Try your best to retell the story according to the pictures and the key words.
Task 6
The old man and the king
favourite
game
the old man
won
collect a bag of rice
prize
challenge...to
no gold or
silver
didn't have enough rice
Task 1: Read again and retell the passage with pictures.
Post-reading
Vocabulary
1 The words in italics are from the story on pages 20-21. Match the sentence halves.
(1) When you wonder
about something,
(2) If you promise to do
something,
(3) You may win a prize
(4) You will win the silver
medal
(5) If your friend challenges you to a chess game,
a you are very sure you will do it.
b he/she wants to see if he/she can win
c if you come second in the race.
d you think about it with curiosity and want to know more about it.
e if you do well in the race.
A poor young man came first in a running race and won some gold as a (1) . He looked at the small piece of gold in his hand and
(2) what to do with it. The young man decided to ask a wise old man for advice. “I have a little gold now, but I want much more,” he said, “Can you help me?”
The old man looked at him, “I can teach you how to make more money if you (3) to work hard,” he said.
The young man agreed without (4) . Then the old man pointed out of the window, “Look outside, What can you see?” he asked. “I can see nothing but an empty field,” the young man (5) .
“Use your money to buy this field,” said the old man, “and grow some cotton. In a year, you can sell the cotton and make a profit.”
The young man followed his advice and worked hard all year round, and in time, he became very rich.
hesitation prize promise reply wonder
prize
wondered
promise
replied
hesitation
2. Complete the story with the words below. Change the form if necessary.
Revision
Retell the story with the mind mapping.
The old man and the king
Beginning
Development
Ending
A king in India (1) ____________ a wise old man ______ a game of chess. The king (2) _________ _________ _________ him any prize if he won the game.
After thinking (3) ________ ________ ________, the old man asked for (4) ________ ________ ________ ________ for the first square of the chessboard, and wanted to double the amount for each of (5) _______ _______ _______ the squares. The king offered gold or silver, but the old man refused them (6) ________ ___________. Then they played the game (7) ________ ________ ________ ________. Finally, the old man won. The king (8) ________ his men ________ ________ a bag of rice. The king’s men put on grain on the first square, two on the second, (9) ________ ________ ________.
The king soon (10) _________ _________ _________ — he wouldn’t have enough rice to give the old man.
challenged to
promised to give
for a moment
one grain of rice
the rest of
without
for a
long time
ordered to collect
and so on
realized the problem
hesitation
23
1. 航班时刻 _______________ (P20)
2. 很早以前 _______________ (P20)
3. 向(某人)挑战… _______________ (P20)
4. 片刻;一会儿 _______________ (P20)
5. 一粒大米 _______________ (P20)
6. 数量翻倍 _______________ (P20)
7. 剩余的 _______________ (P20)
Find the phrases
flight schedule
challenge sb. to ...
for a moment
one grain of rice
double the amount
a long time ago
the rest of
7. 价格标签 _______________ (P21)
8. 毫不犹豫 _______________ (P21)
9. 命令某人做某事 _______________ (P21)
10. ……等等 _______________ (P21)
price tag
without hesitation
order sb. to do sth.
and so on
Language points
1. 我决定向杰克挑战篮球比赛。
I decide ____ ________ Jack ___ a basketball game.
2. 算出这道数学题对我来说是个挑战。
It is ___ ________ for me to work out this math problem.
1. ... the king challenged him to a game.
句意:……国王向他发起一个游戏挑战。
challenge v. / n. 挑战
常见搭配:challenge sb. to sth
challenge sb. to do sth. 向某人挑战...
即学即练
a challenge
to challenge to
2. “You can have any prize if you win the game,” the king promised the old man. 句意:“如果你赢了比赛,你可以得到任何奖品,”国王承诺老人。
① if 是连词,引导条件状语从句,主句中含有情态动词,从句用一般现在时。
即学即练
( ) 1. If he ______ late again, the teacher ______ be angry.
A. is; may B. will be; must C. was; will D. is; should to
( ) 2. If they ______ enough time, they ______ visit the museum.
A. have; can B. will have; could C. had; can D. has; will
A
A
常见搭配:
(1)承诺某人某事 promise sb. sth. = promise sth. to sb.
(2)承诺做某事 promise (sb.) to do sth.
(3) 许诺 make a promise
② promise 动词,意为“承诺;保证”,它还可以作名词。
相同用法的动词:give, pass, show, tell ...
一言为定
即学即练
1. 他承诺照顾我的猫。
He __________ ____ ______ after my cat.
2. 如果我早点完成作业, 妈妈答应给我一份奖品。
Mom _______ ____ ____ ______ if I
finish my homework early.
promised to look
promises me a prize
(2) I had 2 pencils, and my friend gave me 2 more. That doubled the amount to 4.
(1) The number of students doubled in two years.
3. ... I’d like you to double the amount for each of the rest of the squares.
……我希望你能把剩余每个格子上的数量都翻倍。
double v.
两年内学生数量翻倍了。
我原来有 2 支铅笔,朋友又给了我 2 支,数量就翻倍到 4 支了。
(使)加倍;是……的两倍
double the amount 数量翻倍
剩下的书在书架上。
(1) I ate two apples, and my sister ate the rest of them.
剩下的水在瓶子里。
(2) The rest of the water is in the bottle.
the rest of ...
我吃了 2 个苹果,妹妹吃了剩下的。
剩余的……
谓语动词的单复数看指代对象。如果指代可数名词复数,后面动词用复数;指代不可数名词或可数名词单数,动词用单数。
(3) The rest of the books are on the shelf.
4. Wouldn’t you like gold or silver instead?
① 该句是否定疑问句,用来表示建议,还可以用来表示希望得到肯定答复、惊讶、赞赏、怀疑或责备等意思。
即学即练
句意:难道你不想要金子或银子代替吗?
1. 你不想和我们一起吃晚饭吗?
___________________________________
2. 你要不要来点咖啡?___________________________________
Wouldn’t you like to join us for dinner?
Wouldn’t you like some coffee?
② instead:意为“代替;顶替”
instead 副词,置于
句首或句末 I didn’t have a pen, so I used
a pencil instead.
instead of 介词,后接被替代的人或物或 V-ing I have to finish my work
instead of going out.
1. I don’t like beer. Give me coke (instead; instead of).
2. We should do something (instead; instead of) just
talking about it.
即学即练
5. “No, just rice,” the old man replied without hesitation.
① reply 动词,意为“回复;答复”,它还可以作名词;常见用法:reply to sth. 答复某事。
② without hesitation 意为“毫不犹豫”,句中修饰动词replied。
1. 他毫不犹豫地答复了我的问题。他的回答让我很高兴。
He _______ ____ my question __________ __________.
_______ _______ made me happy.
即学即练
replied to
句意:“不,只要大米,”老人毫不犹豫地回答。
without hesitation
His reply
6. After thinking about it for a moment, the king agreed.
句意:思考了一会儿后,国王同意了。
① after 介词,后面接名词或动词-ing形式;
think about 意为“考虑;想起”。
② agree 动词,意为“同意;赞成”,其名词形式是
agreement。
常见用法:
agree to do sth. 同意做某事
agree with sb. 同意某人。
即学即练
( ) 1. After ______ his homework, Tom went out to play
basketball.
A. finish B. finished C. finishing D. to finish
( ) 2. My father agreed ______ me to the park this weekend.
A. take B. taking C. to take D. took
( ) 3. I don’t agree ______ you.
A. to B. about C. with D. on
( ) 4. —Would you like to go hiking with us?
—Let me ______ it.
A. think about B. agree with C. think at D. agree to
C
C
C
A
7. ... so the king ordered his men to collect a bag of rice.
① order sb. to do sth. 命令某人去做某事。
② collect v. 取,收集,收藏
collection (C) n. 收集
1. 他命令他们离开教室。
He _______ _____ ____ _____ the classroom.
2. 学生们同意收集塑料瓶用于回收。。
The students ______ ____ _______ plastic bottles for recycling.
即学即练
ordered them to leave
agree to collect
句意:……于是国王命令手下去收一袋米。
8. The king’s men put one grain on the first square, two on the second, and so on.
国王的手下在第一个方格里放了一粒米,第二个方格里放了两粒,以此类推。
(1) I like fruits, such as apples, bananas, oranges, and so on.
(2) After school, I usually do homework, listen to music, draw pictures, and so on.
and so on
我喜欢水果,比如苹果、香蕉、橙子等等。
放学后,我通常做作业、听音乐、画画等等。
等等;诸如此类
Attention:
只能用在句尾,不能单独使用,前面必须先列举 1-3 个具体例子。
1. She can sing, dance, draw, and so on. ( )
2. He likes eating snacks, for example, chips, chocolate and so on cakes. ( )
and so on 后不能再接具体例子,它本身就表示列举结束。正确表达应为 “He likes eating snacks, for example, chips, chocolate, cakes, and so on”。
判断正误。
9. The king quickly realized the problem.
句意:国王很快就意识到问题。
1. 你是否意识到还有许多人吃不饱肚子呢?
_____ _____ _____ _____ many people do not have enough food to eat?
2. 最后我意识到了学习的重要性。
Finally I _______ _____ ______________ of study.
Do you realize that
realized the importance
① quickly 副词,修饰动词realized
② realize v. “意识到;实现” 不能用于进行时态中,后面常接名词、代词或从句作宾语。
e.g. 实现某人的梦想 realize one’s dream
即学即练
10. -- even with all the rice in the country, he would still not have enough rice to put on all the squares!
句意:——即便动用全国所有的大米,他也没有足够的米来填满(整副棋盘上)所有的方格!
① with 介词,在这里意为“用”。
② enough “足够的”,
修饰名词时,放名词前,如 enough money;
修饰形容词和副词时,放形副后面,如 fast enough。
这个大厅足够大容纳足够的人开会吗?
Is the hall ___ ______ to hold ______ ______ for the meeting?
即学即练
big enough
enough people
一、根据句意和所给的首字母填空。
1. The c__________ has 64 black and white squares.
2. She narrowly missed gold and had to settle for s______.
3. Good opportunities aren’t e_________ —you have to look for them.
4. She p_________ herself she would never cry over him again.
5. I w_______ what time the meeting will end.
6. She r_______ that she was too busy to attend the party.
7. The project is on s_______ and will finish by December.
hessboard
ilver
verywhere
romised
onder
eplied
chedule
二、完成句子。
1. 她查看了价格标签后才决定买这条裙子。
She checked the ____ _____ before deciding to buy the dress.
2. 闭上眼睛,深呼吸片刻。
Close your eyes and breathe deeply ____ ____ _______.
3. 老师命令我们保持安静。
The teacher ______ ___ ___ _____ quiet.
4. 他们向我们挑战踢一场足球比赛。
They _________ _____ _____ a football match.
5. 很久以前,这里有间学校。
_____ _____ _____ _____, there was a school here.
price tag
for a moment
ordered us to keep
challenged us to
A long time ago
6. 她花了一天剩下的时间看书。
She spent ______ ______ ______ the day reading.
7. 消防员毫不犹豫地冲进了燃烧的大楼。
The firefighter rushed into the burning building ______ ___________.
8. 她喜欢户外活动,比如徒步、骑行、露营等等。
She likes outdoor activities—hiking, cycling, camping, ______ ______ ______.
9. 仔细考虑后,我决定接受这份工作。
______ ______ ______ it carefully, I decided to accept the job offer.
the rest of
without
hesitation
and so on
After thinking about
$