Lesson 10 Mathematics in Beauty

1 천재 이인 과( ) 10

Lesson 10Lesson 10Lesson 10Lesson 10 Mathematics in Beauty

Words & PhrasesWords & PhrasesWords & PhrasesWords & Phrases

• architect [ ːɑ ́ rkətèkt] �Many artists and architects have been interested

in this special ratio.

• ancient [éin ənt]ʃ �The story has been told since ancient times.

• artist [ ːɑ ́ rtist] �Picasso was a famous artist.

• basic [béisik] �The golden rectangle is one of the basic shapes

that keeps appearing in Mondrians' art.

• character [kǽriktər] �He was a character from an old Greek story.

• complete [kəmplí t]ː � �When he completed her, he fell in love with

her.

• Egyptian [i íp ən]ʤ ʃ � �The pyramids were built by the ancient

Egyptian.

• even [í vən]ː �I don't even know what his name is.

• exhibit [i zíbit]ɡ � �I heard they will exhibit famous paintings by

Picasso.

• express [iksprés] � � �I can't express how happy I am.

• global [ lóubəl]ɡ �Isn't it a global event for saving the

environment?

• golden ratio [ óuldənréi ou]ɡ ʃ �Things designed with the golden ratio can make

people like them more.

• form [f ːɔ ́ rm] � �A plan formed in my head.

• influence [ínfluəns] � � �Even in the 20th century, the golden ratio

seemed to influence artists.

• length [léŋk ]θ � �We measured the length of the room.

• modern [m dəɑ ́ rn] � �Piet Mondrian, a modern Dutch artist, was one

of them.

• nature [néit əʃ r] � �We couldn't speak seeing the beauties of nature.

• pollution [pəlú ən]ːʃ � �Have you heard of light pollution?

• primary [práimeri] �Children like primary colors such as red, blue

and yellow.

• rectangle [réktæŋ l]̀ ɡ �Which of the five rectangles to you like best?

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Focus onFocus onFocus onFocus on【】【】【】【】● CommunicationCommunicationCommunicationCommunication ●사실적 정보에 대해 묻고 답하기1. Have you heard of the Mona Lisa?이유 묻고 답하기2. Can you tell me why you were angry at your brother?● GrammarGrammarGrammarGrammar ●행동의 대상이 되는 입장에서 말할 때1. This novel will be loved bywill be loved bywill be loved bywill be loved by children all over the world.추측하여 말할 때2. The golden ratio seemed toseemed toseemed toseemed to influence many artists.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

��

Lesson 10 Mathematics in Beauty 2

• temple [témpl] �The front of the temple forms a perfect golden

rectangle.

• terrible [térəbl] �What terrible news!

• scare [sk əέ r] �Jenny is scared of the dark.

• shape [ éip]ʃ �He believed it was possible to create any shape

from basic shapes.

• sniff [sníf] �There is a lion sniffing at the gypsy.

• stomachache [st məkèik]ʌ ́ �I had a stomachache.

• tear � [tíər] [t əɛ r] �My brother tore the book.

• well-balanced [wélbǽlənst] �People feel E is well-balanced.

• whole [hóul] �The whole painting forms a golden rectangle,

too.

• width [wíd ]θ � � �What is the width of the table?

• work [wəː́ rk] � �Mina works at a company on Wall Street.

• according to

Bake the pancakes according to the recipe.

• be able to

If you see more of them, you will be able to

understand them better.

• come true

Oneday his dream came true.

• feel like ing

I don't feel like going there.

• from a different point of view

Step back and look at the situation from a

different point of view.

• make fun of

He made fun of me.

• seem to

The old lady seems to know everything.

• take a picture

You can take a picture of it.

• turn out

The mission turned out to be impossible.

------------------------------------------------------------------------------------------------------------------영어는 우리말로 우리말은 영어로 쓰시오영어는 우리말로 우리말은 영어로 쓰시오영어는 우리말로 우리말은 영어로 쓰시오영어는 우리말로 우리말은 영어로 쓰시오1. , .1. , .1. , .1. , .(1) artist (2)(3) complete (4)(5) character (6)(7) pollution (8)괄호 안의 우리말에 맞도록 빈칸에 알맞은 말을 쓰시오괄호 안의 우리말에 맞도록 빈칸에 알맞은 말을 쓰시오괄호 안의 우리말에 맞도록 빈칸에 알맞은 말을 쓰시오괄호 안의 우리말에 맞도록 빈칸에 알맞은 말을 쓰시오2. .2. .2. .2. .(1) He tried to his feeling about spring.(2) We can make thousands of colors from

colors.(3) Jason has been busy the week.(4) Eat a diet.

우리말과 같도록 빈칸에 알맞은 말을 쓰시오우리말과 같도록 빈칸에 알맞은 말을 쓰시오우리말과 같도록 빈칸에 알맞은 말을 쓰시오우리말과 같도록 빈칸에 알맞은 말을 쓰시오3. .3. .3. .3. .(1)He said the report to be false.(2)Don't him.(3)You will leave on time.(4)

of me.괄호 안의 지시대로 단어를 알맞은 형태로 쓰시오괄호 안의 지시대로 단어를 알맞은 형태로 쓰시오괄호 안의 지시대로 단어를 알맞은 형태로 쓰시오괄호 안의 지시대로 단어를 알맞은 형태로 쓰시오4. .4. .4. .4. .(1) ancient(2) wide(3) influence(4) primary

Quick CheckQuick CheckQuick CheckQuick Check

M: Have you heard of the modern art exhibition at the National

Gallery?

W: Yes. I heard they will exhibit famous paintings by Picasso,

Matisse, and Chagall.

M: Will you go there with me this weekend?

W: Well, I don't feel like going there.

M: Can you tell me why you don't want to?

W: It's not easy for me to understand modern paintings.

M: I understand, but if you see more of them, you will be able to

understand them better.

사실적 정보에 대해 묻고 답하기사실적 정보에 대해 묻고 답하기사실적 정보에 대해 묻고 답하기사실적 정보에 대해 묻고 답하기①①①①

이유 묻고 답하기이유 묻고 답하기이유 묻고 답하기이유 묻고 답하기②②②②

1.1.1.1. 다음 대화의 빈칸에 알맞은 말을 쓰시오.A: you of the

Charlotte's Web?

B: Sure. It's a story about a

little pig and a spider.

2.2.2.2. 다음 우리말과 같도록 단어를 바르게배열하여 쓰시오.A:

(why, can, you, you, lunch,

me, didn't, tell, eat?)

B: I had a stomachache.


3 천재 이인 과( ) 10

사실적 정보에 대해 묻고 답하기 이유 묻고 답하기사실적 정보에 대해 묻고 답하기 이유 묻고 답하기사실적 정보에 대해 묻고 답하기 이유 묻고 답하기사실적 정보에 대해 묻고 답하기 이유 묻고 답하기////※※※※

표현 연구표현 연구표현 연구표현 연구

Dialog Review


Mathematics in Beauty

Which of the five rectangles do you like best?

Most people choose E. Do you know why? People feel E is

well-balanced and the most pleasing to the eye. What makes them

feel that way is the ratio of its width to its length. It is about 1 to

1.618, which is called "the golden ratio." You can see it in a lot of

items around you, such as books, windows and credit cards. Things

designed with the golden ratio can make people like them more.

Many artists and architects have been interested in this special ratio

and used it in their works. The golden ratio came from the human

body which was thought to be the most beautiful. One of the most

famous uses is Aphrodite of Milos, which has been a perfect

example of women's beauty.

Ancient Greeks built their buildings according to the ratio. One of

the most famous and beautiful buildings is the Parthenon, which was

built about 2,500 years ago in ancient Greece. The front of the temple

forms a perfect golden rectangle. You will find several golden

rectangles in the temple, too.

The golden ratio can also in the paintings of Leonardo

da Vinci. The Mona Lisa is a very good example. you draw a

rectangle around the face, that rectangle turns out to be golden. The

whole painting forms a golden rectangle, too.

Reading Review

A B C D E

5 천재 이인 과( ) 10

Even in the 20th century the golden ratio influence

artists. Piet Mondrian, a modern Dutch artist, was one of them. He

used the simplest shapes and primary colors such as red, blue, and

yellow to express nature from a different point of view. He believed it

was possible to create any shape from basic shapes. The golden

rectangle is one of the basic shapes that keeps appearing in Mondrian's

art.

다음 물음에 답하시오다음 물음에 답하시오다음 물음에 답하시오다음 물음에 답하시오....※※※※Q1Q1Q1Q1 위 글의 주제를 쓰시오.A1A1A1A1Q2Q2Q2Q2 황금비는 어디서 유래되었는지 쓰시오.A2A2A2A2Q3Q3Q3Q3 우리 주변에서 황금비에 따라 디자인된 물건의 예를 쓰시오.A3A3A3A3

Reading CheckReading CheckReading CheckReading Check VocabularyVocabularyVocabularyVocabularyrectangle∙ well-balanced∙ golden ratio∙ width∙ length∙ antient∙ temple , ,∙ form ,∙ whole ,∙ according to ~ , ~∙ turn out ~ , ~∙ modern∙ Dutch∙ shape ,∙ basic ,∙ from a different point of view∙ primary color∙


관계대명사관계대명사관계대명사관계대명사 what :what :what :what :①①①① What makes them feel that way is the ratio of

its width to its length.

수동태수동태수동태수동태 ::::②②②② One of the most famous uses is Aphrodite of Milos,

which has been considered a perfect example of women's beauty.

접속사접속사접속사접속사 if :if :if :if :③③③③ If you draw a rectangle around the face, that rectangle

turns out to be golden.

seem to :seem to :seem to :seem to :④④④④ Even in the 20th century the golden ratio seemed to

influence artists.

구문 연구구문 연구구문 연구구문 연구 1.1.1.1. 다음 두 문장의 의미가 같도록 빈칸에 알맞은 말을 쓰시오.His parents doesn't approve of

the thing that he is planning

now.

= His parents doesn't approve

of he is planning

now.2.2.2.2. 다음 우리말과 같도록 괄호 안에단어의 알맞은 형태를 쓰시오.(1)Free tickets→

to the volunteers.

(give)(2)Gimchi→

a healthy food.

(consider)3.3.3.3. 다음 문장의 빈칸에 알맞은 접속사를 쓰시오.you get up before 6

a.m., you'll catch the first

train.4.4.4.4. 다음 문장에서 틀린 부분을 찾아바르게 고쳐 쓰시오.(1) The boy and the dog

seem to good friends.

(2) She seemed to has a

headache.


7 천재 이인 과( ) 10

중요 중-다음 밑줄 친 단어의 의미가 알맞지 않은 것은?The food tastes even better than it

looks.

Mina works at a company on Wall

Street.

I'll take the express bus to Busan.

I tore the package open.

He drew cartoon characters.중 다음 빈칸에 알맞은 말을 쓰시오.The boy turned to be very smart. He

won first prize in the math contest.중 다음 대화의 빈칸에 알맞은 표현은?A:

B: Sure. Isn't it a swimming event held in

winter?

What do you think of Polar Bear

Swims?

Did you enjoy Polar Bear Swims?

Have you heard of Polar Bear Swims?

Is it Polar Bear Swims?

Do you know why Polar Bear Swims

started?[04[04[04[04~~~~ 다음 대화를 읽고 물음에 답하시오다음 대화를 읽고 물음에 답하시오다음 대화를 읽고 물음에 답하시오다음 대화를 읽고 물음에 답하시오05] ,05] ,05] ,05] ,A: Have you heard of the new movie, The

Lady with the Diamond Ring?

B: Sure. Isn't that the movie about a

beautiful painting's secret?

A: Right. It is a big hit these days.

B: Really? I didn't like the movie very

much.

A: Oh,

B: The movie is based on a popular novel,

but it is not as exciting as the novel.상 위 대화의 우리말 에 알맞은 표현을 쓰시오.ⓐ

하 위 대화의 내용과 일치하지 않는 것은?중요 중-다음 빈칸에 알맞은 것은?

A: What kind of music does Jake like?

B: I'm not sure, but he classical

music.

seem to be

seem to be liked

seemed to likes

seems to like

seems to be liked중요 틀리기 쉬워요 상- -다음 밑줄 친 중 어법상~ ,① ⑤ 어색한 것은?In this painting, the man seems to be very

shocked. He must have seen something

very scary. There are two people walking

away from the man. They don't seem to

knew how the man feels. The colors of

the red sky and the deep blue sea are very

strong.중요 중-다음 문장을 수동태로 바르게 바꾼 것은?Children all over the world will love this

novel.

Children will be loved this novel all

over the world.

Children all over the world will be

loved this novel.

This novel has been loved by children

all over the world.

This novel will love by children all

over the world.

This novel will be loved by children all

over the world.

학교 시험 예상 문제


[09[09[09[09~~~~ 다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오10] , .10] , .10] , .10] , .What makes them feel that way is the

ratio of its width to its length. It is about 1

to 1.618, which is called "the golden

ratio." You can see it in a lot of items

around you, such as books, windows and

credit cards. Things designed with the golden

ratio can make people like them more.

Many artists and architects have been

interested in this special ratio and used it in

their works. The golden ratio came from the

human body which was thought to be the

most beautiful. One of the most famous uses

are Aphrodite of Milos, which has been

considered a perfect example of women's

beauty.상 위 글의 밑줄 친 중~ ,① ⑤ 어색한 것은?중 위 글의 내용으로 답할 수 없는 질문은?Where can the golden ratio be found?

What do people feel about Aphrodite

of Milos?

Who have been interested in the golden

ratio?

Where did people get the idea of

golden ratio?

What is the golden ratio?다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오[11~13] , .[11~13] , .[11~13] , .[11~13] , .Ancient Greeks built their buildings

the ratio. ( ) One of the most famous and

beautiful buildings is the Parthenon,

was built about 2,500 years ago in ancient

Greece. ( ) The front of the temple forms a

perfect golden rectangle. ( ) You will find

several golden rectangles in the temple, too.

The golden ratio can also be found in the

paintings of Leonardo da Vinci. ( ) If you

draw a rectangle around the face, that

rectangle turns out to be golden. ( ) The

whole painting forms a golden rectangle, too.중요 중-위 글의 중 다음 문장이 들어갈 알맞은 곳~ ,① ⑤은?The Mona Lisa is a very good example.중 위 글의 빈칸 에 차례로 알맞은 것은, ?ⓐ ⓑ

according to - which without - what

at the end of - which next to - which

regardless of - which중 위 글에서 다음 질문에 대한 답을 찾아 쓰시오.What are two examples where the golden

ratio was applied?중 다음 글의 주제로 알맞은 것은?Mondrian painted nature when he was a

young artist. But later on his style changed.

He thought that art was more than just

copying the real world. He used the simplest

shapes and primary colors to express nature

from a different point of view.

다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오[15~16] , .[15~16] , .[15~16] , .[15~16] , .Even in the 20th century the golden ratio

seemed to influence artists. Piet Mondrian, a

modern Dutch artist, was one of them. He

used the simplest shapes and primary colors

such as red, blue, and yellow to express

nature from a different point of view. He

believed it was possible to create any shape

from basic shapes. The golden rectangle is

one of the basic shapes that keeps (appear)

in Mondrian's art.하 위 글의 괄호 의 알맞은 형태를 쓰시오.ⓐ중요 중-위 글의 내용과 일치하지 않는 것은?Piet Mondrian was from the

Netherlands.

Piet Mondrian was influenced by golden

ratio.

Piet Mondrian used complicated colors

and shapes.

We can see many rectangles in

Mondrian's art.

The golden ratio influenced many artist

in 20th century.

9 천재 이인 과( ) 10

내신 만점 예상 문제 회1상 다음 중 영영풀이가 잘못된 것은?ancient: having lasted for a very long

time

temple: a building used for the worship

of gods

basic: simple and not complicated

rectangle: a four-sided shape whose

corners are all ninety degree angles

width: how heavy something is중요 중-다음 우리말과 같도록 빈칸에 알맞은 말을 쓰시오.The book helped me see things from a

different .

중 다음 빈칸에 알맞은 단어를 글에서 찾아 어형을변화하여 쓰시오.Gogh was born in the Netherlands. He is one

of the most famous artists. He often

painted himself. Whenever he painted himself,

he looked himself in the mirror.중 다음 짝지어진 대화 중 어색한 것은?A: Have you heard of Leonard da Vinci?

B: Sure. Isn't he an artist?

A: Have you ever heard of the Colosseum?

B: Of course. It is the largest theater in

ancient Rome.

A: Have you heard of Earth Hour?

B: Sure. I learned about it in English

class.

A: Have you heard of Charlotte's Web?

B: Charlotte's Web? What is it?

A: Have you heard of Alexander Graham

Bell?

B: No, I haven't. He invented the telephone.다음 대화를 읽고 물음에 답하시오다음 대화를 읽고 물음에 답하시오다음 대화를 읽고 물음에 답하시오다음 대화를 읽고 물음에 답하시오[05~06] , .[05~06] , .[05~06] , .[05~06] , .

Jane: did you like the new Chinese

restaurant on the corner?

Mike: I didn't like it very much.

Jane: Can you tell me you didn't like

it?

Mike: It was fun to watch the cook

preparing the dishes, but the food was

not that delicious.하 위 대화의 빈칸 에 차례로 알맞은 것은, ?ⓐ ⓑHow - why What - why

How - what What - how

Who - why중 위 대화의 내용과 일치하는 것은?Jane's father runs a Chinese restaurant.

Mike enjoyed the food at the restaurant.

People can watch the cook preparing

food at the restaurant.

The restaurant is located near Mike's

house.

Jane likes the restaurant very much.중요 중-다음 대화의 순서를 바르게 배열하시오.(a) You're right. He often used the simplest

shapes and primary colors.

(b) Sure, I have. Isn't he a famous modern

painter?

(c) Oh, you seem to know a lot about him.

(d) Have you heard of Mondrian?하 다음 대화의 빈칸에 알맞지 않은 표현은?A: You look disappointed. Can you tell me

why?

B:

My cat is very sick.

I can't go to the concert.

My brother broke my game CD.

My father bought me a bike.

My favorite baseball team won the game.


중요 상-다음 우리말과 같도록 빈칸에 알맞은 말을 쓰시오.They surprised at the

unexpected result.중요 틀리기 쉬워요 상- -다음 중 어법상 어색한 것은?The light will be turned off just before

Dad comes into the house.

A lot of trees have be planted on the

mountain.

This room must be cleaned before the

meeting.

The work can be finished by 3 o'clock.

Some vegetables should be cooked

quickly.하 다음 중 의미가 같은 문장 두 개를 고르면?The old lady seems to know everything.

The old lady must have known

everything.

The old lady should know everything.

The old lady appears to know

everything.

The old lady wants to know everything.중요 상-다음 두 문장의 의미가 같도록 빈칸에 알맞은 말을 쓰시오.The kind lady have taken care of the poor

children.

= The poor children .중 다음 빈칸에 알맞은 것은?Classical music will during lunch

time.

play plays be played

playing have played다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오[14~15] , .[14~15] , .[14~15] , .[14~15] , .

중 위 글의 빈칸 에 알맞은 말을 각각 쓰시오, .ⓐ ⓑ상 위 글의 결말로 추측할 수 있는 것은?The woman died and Pygmalion was

very depressed.

The woman made Pygmalion get away

from her.

The woman became a writer and wrote

a lot of novels.

The woman disappeared and Pygmalion

couldn't find her.

The woman became a real person and

married Pygmalion.다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오[16~17] , .[16~17] , .[16~17] , .[16~17] , .Which of the five rectangles do you like

best? Most people choose E. Do you know

why? People feel E is well-balanced and

the most pleasing to the eye. What makes

them feel that way is the ratio of its

width to its length. It is about 1 to 1.618,

which is called "the golden ratio." You

can see it in a lot of items around you,

such as books, windows and credit cards.

Things designing with the golden ratio can

make people like them more.상 위 글의 밑줄 친 중~ ,① ⑤ 어색한 것은?하 위 글의 내용과 일치하지 않는 것은?Have you heard Pygmalion? He

was a character from an old Greek story. He

made a woman out of a piece of white

stone. When he completed her, he fell in

love her. He talked to her every day

and treated her like a real woman. He

wished she would become a real woman.

One day his dream came true.

11 천재 이인 과( ) 10

다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오[18~20] , .[18~20] , .[18~20] , .[18~20] , .Mathematics and art have been connected

for a long time. The ancient Egyptians and

ancient Greeks knew about the golden ratio

and used it to build the Great Pyramid and

the Parthenon.

Leonardo da Vinci was also interested in

mathematics. He studied it because he wanted

to create paintings that looked real. He used

the golden ratio in his paintings, too. The

Mona Lisa is a good example. You can find

many golden rectangles in it.중요 상-위 글의 제목으로 알맞은 것은?The Golden Ratio Found in the Real

World

The Examples of Ancient Greek Culture

The Influence of Ancient Greek Culture

on Modern Art

The Connection Between Mathematics

and Art

The Styles of Leonardo da Vinci

중요 틀리기 쉬워요 상- -위 글의 밑줄 친 이 가리키는 것을 찾아 쓰시오it .중 위 글의 내용과 일치하지 않는 것은?

The golden ratio was used to build the

Parthenon.

Leonardo da Vinci studied math to build

beautiful buildings.

The Mona Lisa shows that math is used

to create works of art.

Great Pyramid was built according to

the golden ratio.

Many golden rectangles can be found in

Mona Lisa.

다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오[21~22] , .[21~22] , .[21~22] , .[21~22] , .Even in the 20th century the golden ratio

seemed to influence artists. Piet Mondrian,

a modern Dutch artist, was one of them.

He used the simplest shapes and primary

colors such as red, blue, and yellow to

express nature from a different point of view.

Nature was one of the common material to

artists. He believed it was possible

(create) any shape from basic shapes. The

golden rectangle is one of the basic shapes

that keeps appearing in Mondrian's art.중 위 글의 밑줄 친 중~ ,① ⑤ 글의 흐름상 어색한 것은?중 위 글의 괄호 의 형태로 알맞은 것은?ⓐcreate to create

to be created created

to have been created다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오[23~24] , .[23~24] , .[23~24] , .[23~24] , .In this painting “The scream”, the man

seems to be very shocked. He must have

seen something very scary. There are two

people walking away from the man. They

don't seem to know how the man feels. The

colors of the red sky and the deep blue sea

are very strong.하 위 글의 종류로 알맞은 것은?중 위 글의 내용으로 알 수 없는 것은?

The artist of the painting

The title of the painting

What the writer sees in the painting

What the writer feels about the painting

The colors used in the painting


내신 만점 예상 문제 회2중 다음 중 짝지어진 관계가 어색한 것은?Egypt - Egyptese

China - Chinese

France - French

Greece - Greek

Spain - Spanish중요 상-다음 밑줄 친 단어와 같은 의미로 쓰인 것은?I don't even know what his name is.

This book is even better than that.

Our scores are even now.

Eight is a even number.

It was cold there even in summer.

He spoke in even voice.

상 다음 우리말과 같도록 빈칸에 알맞은 말을 쓰시오.Bake the pancakes the recipe.

중요 중-다음 대화의 밑줄 친 중 흐름상~ ,① ⑤ 어색한 것은?A: Dad, how was your trip to Greece?

B: It was great. Have you heard of the

Parthenon?

A: Of course not. Isn't it an ancient

Greek temple?

B: Yeah, right. Let me show you the

photos I took in front of it.

A: It looks wonderful! I'd like to see it in

person someday.

다음 대화를 읽고 물음에 답하시오다음 대화를 읽고 물음에 답하시오다음 대화를 읽고 물음에 답하시오다음 대화를 읽고 물음에 답하시오[05~06] , .[05~06] , .[05~06] , .[05~06] , .Mom: Jenny, why do you sleep with the

light on?

Jenny: I am afraid of the dark.

Mom: But, it's not good for your health.

Have you heard of light pollution?

Jenny: Light pollution? What is that?

Mom: It is the effect that electric lights have

on the environment. It can also make

you tired and give you a headache.

Jenny: Really? I didn't know that. I will try

to turn off the light from now on,

even though I am scared.중 위 대화를 읽고 답할 수 없는 질문은?Why does Jenny sleep with the light

on?

What is light pollution?

What is the relationship between two

people?

Has Jenny heard of light pollution?

What advantage do the electric lights

have?하 위 대화 후에 가 결심한 것은Jenny ?다음 대화를 읽고 물음에 답하시오다음 대화를 읽고 물음에 답하시오다음 대화를 읽고 물음에 답하시오다음 대화를 읽고 물음에 답하시오[07~08] , .[07~08] , .[07~08] , .[07~08] , .

Mike: Ms. Smith, I'm sorry, but I can't return

the book I borrowed last Wednesday.

Ms. Smith:

Mike: My little brother drew pictures in it

and tore some of the pages.

Ms. Smith: Oh, that's not good.

Mike:

Ms. Smith: You should pay for the book. It's

a library rule.

Mike: Okay. I will pay for the book.

13 천재 이인 과( ) 10

중요 중-위 대화의 빈칸 에 차례로 알맞은 표현은, ?ⓐ ⓑCan you tell me why? - What should I

do?

Can you tell me who did it? - Can you

help me?

Can you tell me what he did? - What

are you doing?

Can you tell me where it is? - How

much did you pay?

Can you tell me when you borrow it? -What is library rule?상 위 대화의 내용과 일치하도록 빈칸에 알맞은 말을쓰시오.

Mike has to for the book he

borrowed from the library because his little

brother in it and

some of the pages.중요 중-다음 빈칸에 알맞은 것은?The boy and girl be having a

good time.

seem seem to

are seeming to are seemed to

have been seemed to중요 틀리기 쉬워요 상- -다음 중 어법상 어색한 문장은?English is spoken in Canada.

Birthday cards have been written for

Dad.

Eggs must boil in enough water.

The musical is being performed for nine

months.

Soft drinks will not be sold in our

school from next year.다음 우리말과 일치하도록 괄호 안의 단어를 바다음 우리말과 일치하도록 괄호 안의 단어를 바다음 우리말과 일치하도록 괄호 안의 단어를 바다음 우리말과 일치하도록 괄호 안의 단어를 바[11~12][11~12][11~12][11~12]르게 배열하시오르게 배열하시오르게 배열하시오르게 배열하시오....중요 중-

(some, have, computer, problems, my, to,

seems)

중요 틀리기 쉬워요 상- -

(class, not, cell phones, used, must, in, be)중요 상-다음 문장을 수동태로 바꾸어 쓰시오.What they see or hear has influencedconsumers.

다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오[14~16] , .[14~16] , .[14~16] , .[14~16] , .What makes them feel that way is the

ratio of its width to its length. It is about 1

to 1.618, is called "the golden ratio."

You can see it in a lot of items around

you, such as books, windows and credit

cards. Things designed with the golden ratio

can make people like them more.

Many artists and architects have been

interested in this special ratio and used it in

their works. The golden ratio came from

the human body was thought to be

the most beautiful. One of the most famous

uses is Aphrodite of Milos,

has been considered a perfect example of

women's beauty.하 위 글의 밑줄 친 의 의미로ⓐ 알맞은 것은?중요 중-위 글의 빈칸에 공통으로 알맞은 말을 쓰시오.중요 상-위 글의 내용과 일치하지 않는 것은?We can find the golden ratio in many

things around us.

The golden ratio is the ratio of the

width to the length.

Golden ratio was used by many artists

and architects.

People got the idea of golden ratio

from Aphrodite of Milos.

The human body has been considered

the most beautiful.


다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오[17~18] , .[17~18] , .[17~18] , .[17~18] , .(a) He used the golden ratio in his

paintings, too. The Mona Lisa is a good

example. You can find many golden

rectangles in it.

(b) Leonardo da Vinci was also interested in

mathematics. He studied it because he

wanted to create paintings that looked real.

(c) Mathematics and art have been connected

for a long time. The ancient Egyptians and

ancient Greeks knew about the golden ratio

and used it to build the Great Pyramid and

the Parthenon.중요 중-위 글을 순서대로 바르게 나열하시오.중 위 글의 내용에 맞게 다음 빈칸에 알맞은 말을 쓰시오.The ancient Egyptians and Greeks and

Leonardo da Vinci used the in

their works.다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오[19~21] , .[19~21] , .[19~21] , .[19~21] , .Ancient Greeks built their buildings

according the ratio. ( ) One of the

most famous and beautiful buildings is the

Parthenon, which was built about 2,500

years ago in ancient Greece. ( ) The front

of the temple forms a perfect golden

rectangle. ( ) You will find several golden

rectangles in the temple, too. ( ) The Mona

Lisa is a very good example. ( ) If you

draw a rectangle around the face, that

rectangle turns to be golden. The

whole painting forms a golden rectangle,

too.중요 중-위 글의 중 다음 문장이 들어갈 알맞은 곳~ ,① ⑤은?The golden ratio can also be found in the

paintings of Leonardo da Vinci.하 위 글의 빈칸 와 에 차례로 알맞은 것은?ⓐ ⓑwith - to to - out for - to

in - into on - off

상 위 글의 내용으로 답할 수 없는 질문은?Why did the ancient Greeks build

Parthenon?

When was the Parthenon built?

Where can we find the golden ratio in

Parthenon?

Who built the Parthenon?

Where can we find golden ratio in

Mona Lisa?다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오다음 글을 읽고 물음에 답하시오[22~24] , .[22~24] , .[22~24] , .[22~24] , .Even in the 20th century the golden ratio

(~ ) influence artists. Piet

Mondrian, a modern Dutch artist, was one of

them. He used the simplest shapes and

primary colors such as red, blue, and yellow

to express nature from a different point of

view. He believed was possible to

create any shape from basic shapes. The

golden rectangle is one of the basic shapes

that keeps appearing in Mondrian's art.중 위 글의 우리말 에 알맞은 표현을 쓰시오.ⓐ하 위 글의 빈칸 에 알맞은 것은?ⓑwhat that this it which상 위 글의 이전에 나왔을 내용으로 알맞은 것은?

중요 중-다음 글의 빈칸에 알맞은 말이 바르게 짝지어진 것은?Mondrian painted nature when he was a


He thought that was more than just

copying . He used the simplest



art - the real world shape - color

artist - painting nature - human

style - golden ratio

15 천재 이인 과( ) 10

서술형 • 논술형 평가다음 괄호 안의 단어를 이용하여 빈칸에 알맞은문장을 써넣어 대화를 완성하시오.다음 표를 보고 대화를 완성하시오, .

Likes & Dislikes Reason

animalslikes cats cute and smart

dislikes dogs make a lot of noise

A: I like cats, but I don't like dogs.

B:

A: They are very cute and smart.

B:

A: They make a lot of noise.

다음 문장을 수동태로 바꾸어 쓰시오.(1) We should do something before it is too

late.→(2) They have considered Gimchi a healthy

food.→(3) You can write a secret message with

lemon juice or milk.→다음 그림을 보고 보이는 현상에 대해 를, seem to이용하여 문장을 완성하시오.A

B

Line A→ than line B.

다음 글을 읽고 몬드리안의 초기 화풍과 후기,화풍의 특징과 변화의 이유를 우리말로 쓰시오.Mondrian painted nature when he was a


He thought that art was more than just

copying the real world. He used the simplest



다음 글 를 읽고 아래의 인터뷰를 완성하시오(A) , .(A) Mathematics and art have been

connected for a long time. The ancient

Egyptians and ancient Greeks knew about the

golden ratio and used it to build the Great

Pyramid and the Parthenon.

Leonardo da Vinci was also interested in

mathematics. He studied it because he

wanted to create paintings that looked real.

He used the golden ratio in his paintings,

too. The Mona Lisa is a good example. You

can find many golden rectangles in it.↓↓↓↓Reporter: Mr. da Vinci, I heard you were

interested in (1) .

da Vinci: Yes, I have studied math to

(2) .

Reporter: That's interesting! Today, the Mona

Lisa is loved by people all over

the world.

da Vinci: I am glad to hear that. It's one of

my favorite paintings, too.

Reporter: They say (3) can

be found in the painting.

da Vinci: Yes. The golden ratio was a part

of my painting. I wanted to put it

in my paintings, as the ancient

Egyptians used it to build the

Great Pyramid.

A: (Eiffel Tower)

B: Yes, I've heard of it. Isn't it in France?

A: Yes. It is the tallest tower in Paris and it

was built by Gustav Eiffel.


Vocabulary Test우리말은 영어로 영어는 우리말로 쓰시오우리말은 영어로 영어는 우리말로 쓰시오우리말은 영어로 영어는 우리말로 쓰시오우리말은 영어로 영어는 우리말로 쓰시오A , .A , .A , .A , .1.

2.

3.

4.

5.

6. golden ratio

7. sniff

8. stomachache

9. exhibit

10. architect

괄호 안에서 알맞은 것을 고르시오괄호 안에서 알맞은 것을 고르시오괄호 안에서 알맞은 것을 고르시오괄호 안에서 알맞은 것을 고르시오B .B .B .B .1. The apple was one of the favorite fruits

of (antient, basic) Romans.

2. His writings have (influenced, inspired) the

lives of millions.

3. It is not easy to understand (modern,

primary) art.

4. What (temple, shape) is the table?

5. The cat is a major (character,

stomachache) in this book.

우리말과 같도록 빈칸에 알맞은 것을 쓰시오우리말과 같도록 빈칸에 알맞은 것을 쓰시오우리말과 같도록 빈칸에 알맞은 것을 쓰시오우리말과 같도록 빈칸에 알맞은 것을 쓰시오C .C .C .C .1.

the news report, the oil

price has increased since last March.

2.

They be rich.

3.

I eating a sandwich.

4.

Winning the medal was like a dream

.

5.

Let's consider the problem

.

다음 뒤섞인 단어의 철자를 바르게 배열하고 뜻을다음 뒤섞인 단어의 철자를 바르게 배열하고 뜻을다음 뒤섞인 단어의 철자를 바르게 배열하고 뜻을다음 뒤섞인 단어의 철자를 바르게 배열하고 뜻을DDDD 쓰시오쓰시오쓰시오쓰시오....1. dihwt :

2. melpte :

3. isrtta :

4. llbgao :

5. mopleetc :

다음 밑줄 친 단어의 뜻을 보기 에서 고르시오다음 밑줄 친 단어의 뜻을 보기 에서 고르시오다음 밑줄 친 단어의 뜻을 보기 에서 고르시오다음 밑줄 친 단어의 뜻을 보기 에서 고르시오E [ ] .E [ ] .E [ ] .E [ ] .보기[ ]to do things that someone is paid or

required to do

to show what you think or feel

to pull something into two pieces

without unnecessary stops

the drops of salty liquid that come out of

eyes

something such as a painting, book, or

piece of music produced by an artist,

writer, or composer

1. Babies express their feelings by crying.

2. Doctors often work very long hours.

3. I'll take the express bus to Busan.

4. He tore the letter in two.

5. I really admire his works.

6. He suddenly burst into tears.

Lesson 10 Mathematics in Beauty

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