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Unit 2 Amazing numbers
The old man and the king
Reading 2
Learning objectives
1. Use a "T-Chart" to find at least two personality traits of the main character. Support your statement with evidence from the text.
使用“性格特征-文本证据”T型图,分析主人公的至少两种性格特点,并为每种特点找到一处原文依据。
2. Share the lesson you have learnt fron the story and use it to solve a similar problem.
用自己的话阐述故事带来的启示,并能应用该启示来解决一个相似的问题。
3. Identify and explain another two ways numbers are used in the story. Give an example from your own life about how numbers can be fun.
识别并阐述数字在故事中除计算外的两种功能,并能从自身经历中举出一个体现数字趣味的例子。
The Team
Revision
Identify the key elements of the story.
Middle
Ending
Beginning
Plot
setting
time
place
characters
elements
A
B
C
D
B-D-A-C
Revision
Put the following pictures into correct order.
Read for information
1. How probably did the king feel at the end and why?
He probably felt surprised. Because 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!
2. What prize did the old man ask for?
If he won the game, he'd like one grain of rice for the first square of the chessboard, two for the second, four for the third... He’d like the king to double the amount for each of the rest of the squares.
Is that a HUGE amount?
Let’s try to calculate!
Dive into the calculation
Square 1: 1 grain → Total = 1
Square 2: 2 grains → Total = 3 (1+2)
Square 3: 4 grains → Total = 7 (3+4)
Square 4: 8 grains → Total = 15 (7+8)
1
2
3
4
How many grains of rice would there be on the chessboard?
double the amount
将数量翻倍
Dive into the calculation
1
2
3
4
Pair work: Calculate from Square 5 to 10
10
5
7
6
8
9
Square 5: 16 grains → Total = 31
Square 6: 32 grains → Total = 63
Square 7: 64 grains → Total = 127
Square 8: 128 grains → Total = 255
Square 9: 256 grains → Total = 511
Square 10: 512 grains → Total = 1023
Only 10 squares of grains of rice can reach up to 1023! How can we calculate the rest of the squares? Can you find out any rules?
=2^5-1
=2^6-1
=2^7-1
=2^8-1
=2^9-1
=2^10-1
So the total number of the grains of rice on the chessboard would be ________.
Dive into the calculation
2^64-1
2^64-1=?
Let’s ask DeepSeek for help.
Can you imagine how large this number is?
Let’s continue the talk with Deepseek!
Dive into the calculation
Read for characters
What do you think of the king and the old man? Please find evidence from the story and give reasons for your statement.
A T-chart can help us better analyze the traits of a character with the evidence from the text.
Character’s name
Evidence:
actions &
words
Traits & inferences
Read for characters
What do you think of the old man? Read the sentences about his actions and words.
for a moment
片刻,一会儿
rest n. 剩余部分;其余
the rest of ……的剩余部分
reply v. 回复,答复
hesitation n. 犹豫,不情愿
hesitate v. 犹豫
without hesitation 毫不犹豫
Read for characters
Analyze the old man’s traits with the help of a T-chart.
The old man
Evidence:
actions & words
Traits & infereces
1. He thought for a moment and said slowly.
2. "No, just rice" the old man replied without hesitation.
3. ...
1. calm & smart: He thought of his words slowly, trying to find out a good way to solve the problem.
2. determined: He was certain about his victory and wouldn’t change his mind.
3. ...
Read for characters
What do you think of the king? Read the sentences about his actions and words.
silver n. 银
wonder v. 想知道;琢磨
wonder n.(u.c) 惊叹;惊奇
wonderful adj.精彩的;绝妙的;
agree v. 同意,赞成
agreement n.协议,契约;同意
disagree v. 有分歧,意见不合
disagreement n.分歧,争论
Read for characters
Analyze the king’s traits with the help of a T-chart.
The king
Evidence:
actions & words
Traits & inferences
1. “You can have any prize if you win the game.”
2. ...
3. ...
1. overconfident & arrogant: He was sure of his victory without considering that someone may outwit him.
2. ...
3. ...
Read for characters
Pair work
Analyze the traits of the characters with evidence and inferences.
S1: What do you think of the old man?
S2: I think he is calm and smart. From his action “thought for a moment and said slowly”, we can infer that he thought of his words slowly, trying to find out a good way to solve the problem. What do you think of the king?
S1:......
Read for the moral
Why did the old man only ask for rice for the prize but not gold or silver?
What was the real 'prize' for the old man?
Group discussion
POSSIBLE ANSWER:
The real prize was to teach the king a lesson - to teach him about humility (谦逊) and the power of knowledge.
Group discussion scenario:
The Overconfident Math Leader
Leo is great at math. His group is working on a Math problem in class. Group leader Mia shares an answer and insists it’s correct, but Leo knows it’s not the right answer. What should Leo do?
Can you use the lesson you’ve learnt from the story to give Leo advice?
Apply
Role-play
You have two role-play options. Pick one and perform in groups. Make sure you follow all the requirements.
Role Play 1
What do you think happened next? Continue the story.
Requirements
be creative
be cooperative
be educational
speak loudly and correctly
Role Play 2
If there were a press conference where journalists could freely ask questions to the old man and the king...
Superpower In Our Story
1. Counting 🧮
To calculate the amount of rice.
2. Setting Rules 🚦
To make the "doubling" game rule.
3. Creating Fun 😄
To make a big surprise for the king.
Read for fun
Can you find the Superpowers of Numbers in the story?
Numbers’ superpowers can be seen everywhere.
Read for fun
Setting Rules
Creating Fun
Can you think of some other superpowers?
Read for fun
Let’s enjoy more fun about numbers
Discuss and share
Numbers Are All Around Us!
Think of some examples of numbers’ superpowers in your life and share with us!
"Numbers have an important story to tell. They rely on you to give them a clear and convincing voice."
— Stephen Few
(美国数据可视化领域的专家、作家和顾问)
Furthur thinking
What do you think of numbers in today’s lesson?
The numbers are amazing/powerful/useful/ineresting...
Exit ticket
1.What do you think of the old man or the king? Choose one character and analyze his traits with evidences and inferences.
I think the ________ is _____________. From his _________________________ “______________________________________________________________________”, we can infer that _____________________________________________________
2.What lesson have you leanrt from the story?
_______________________________________________________________________.
Must-do task
Complete exercise 2 on page 22 and exercise 3 on page 23.
Read the text and record your voice. Show the personality traits of the characters.
Optional task
Write down the script from the role-play that your group have performed.
Homework
Thank you!
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