- •Дорогие друзья!
- •Van Leeuwenhoek /vsen 'leivanhuk/
- •Germs are only round / mostly long and thin / different shapes.
- •Vladimir Vernadsky 35
- •Match these words with their definitions.
- •Vaccine /'vasksim/
- •In groups, discuss the work of Louis Pasteur.
- •Complete the definitions below with words from the box.
- •Inhabit approximately
- •To means to live in a
- •A(n) animal or plant no
- •Read the text and decide if the following statements are true or false.
- •Read the text and answer the following questions.
- •C deposits contribution doctrine required omplete the sentences below with words from the box.
- •Rich mineral were found
- •In the Earth’s there are
- •Vladimir Vernadsky
- •Vocabulary: Greek meaning, sphere of life
- •Vienna /VI'era/
- •The life of insects starts
- •Vernadsky was interested in the of various elements in the atmosphere,
- •Mendel followed the characteristics of an organism through generations.
- •Each strand has about
- •We inherit the information from our
- •Read the text and choose the best title for each paragraph. There is one title, which you do not need to use.
- •Answer the following questions.
- •Work in pairs. Think of at least one more question to the text your partner should answer. Then change roles.
- •Include some of these useful phrases in your writing:
- •Introduction
- •Discuss these questions with your partner.
- •Complete the sentences below with
- •Alchemists properties
- •Industry
- •In your own words.
- •Where does he spend his time working?
- •Industry
- •It’s expensive because it is new / uses hydrogen / is not common.
- •Discuss these questions with your partner.
- •Choose the correct answer a, в or с
- •A(n) is a substance that
- •A(n) is a substance that
- •Discuss these questions with your partner.
- •0 G Speaking
- •0 G Speaking
- •Read the clues to help you find eight words in the wordsearch connected with chemistry and physics.
- •Vladimir Vernadsky 35
- •To ensure safety in a lab students should
- •Discuss these questions with your partner.
- •Discuss these questions with your partner.
- •Discuss these questions with your partner.
- •Analysis external
- •Discuss these questions with your partner.
- •Leading g having height, width
- •Spark в reveal
- •The scientist wanted to a
- •He’s a heart surgeon; the
- •What do you know about ? It’s
- •He’s innocent and I’ll do whatever it takes to the truth.
- •Read the text and decide if the following
- •Discuss these questions with your partner.
- •Listen to a teacher and a student discussing her project about the Big
- •1 Is something through which
- •The electromagnetic field a
- •To power you need a way to
- •0 G Speaking
- •Vocabulary:
- •Vocabulary:
- •Paragraph 3 Relationships:
- •Vocabulary:
- •Paragraph 4 Private life:
- •Catalyst calculations
- •Discuss these questions with your partner.
- •Discuss these questions with your partner.
- •There was a(n) amount of
- •There has to be to prove
- •Discuss these questions with your partner.
- •When light shines on a
- •In experiments with the photoelectric
- •H d Vocabulary
- •Significant
- •Discuss these questions with your partner.
- •Find a synonym in the box for the words or phrases in green in the sentences.
- •The line was rounded
- •Recent research shows that there is no
- •In a group have a discussion about Einstein's life.
- •Include some of these words and phrases:
- •Match these words with their definitions.
- •The words in green are all in the wrong sentences. Put the words into the correct sentences.
- •Discuss these questions with your partner.
- •Calculating wages e trigonometry
- •Introduction
- •Isaac Newton
- •5 Gravity Albert Einstein
- •In your own words.
- •Imagine you have started an advanced algebra course at school or university. Write a letter to a friend telling him/her what you have learnt about it so far.
- •In a group, discuss the disagreement between Leibniz and Newton.
- •After the decline of Greek civilisation,
- •Discuss these questions with your partner.
- •Discuss these questions with your partner.
- •Then check your answers in the text.
- •Match these words with their definitions.
- •Complete the sentences below with words from the box.
- •Please don’t to pay the
- •Meet Peter. He’s a(n) film
- •Discuss these questions with your partner.
- •Imitate
- •The field of studies
- •Wiener was only ever taught at home.
- •Look up this city in the book of maps.
- •Infinitesimal
- •5 To a term means to use a
- •9 Scientists often global
- •1Z means lasting forever.
- •1Hydroelectricity
Discuss these questions with your partner.
-» How do you use mathematics outside the classroom?
How is mathematics involved in cooking?
H F Listening 4)))
Listen to these people talking about mathematics in everyday life. Then listen again and match the activity to the area of mathematics.
There is one activity which you do not need to use.
estimating sizes A algebra
the arrangement В arithmetic of parts
avoiding collisions С geometry
paying for goods D Probability Theory
Calculating wages e trigonometry
predicting lottery numbers
H G Speaking
Discuss these questions with your partner.
What different areas of mathematics are there?
How did some ancient Greek thinkers contribute towards mathematics?
Task
Prepare a short presentation on the four main areas of mathematical study.
Talk about:
what the areas are
what they focus on
what mathematical developments are practised in different areas
how they might be of use in the real world
4
Read the texts again and use these notes to help you.
Introduction
Four areas. What are they? What does each one focus on?
POINTS 1-4
Number, Structure, Space, Change: for each area give details and an example of its usefulness.
CONCLUSION
Sum up, restate the introduction. Point out that there are other areas of interest too.
Remember to:
outline what you will say
make your points clearly
let the audience know you have finished
Speaking tips
Speak from notes.
Choose simple examples.
Make eye contact with your audience.
H H Writing
Write a short essay to answer this question: 'Mathematics is the science of numbers. Discuss.'
Read text I again and use these notes to write four paragraphs.
PARAGRAPH 1
Introduction Say what you will write about. Maths about numbers, but also more. Maths called a science, but opinion is divided. (Do not answer the question yet.)
Vocabulary: concerned with, referred to, matter of opinion
PARAGRAPH 2
Maths developed from numbers. Counting, recording. Different systems, for the same maths, eg Incas, Romans. Knowledge of numbers gave more knowledge. Vocabulary: firstly, number systems, society, development
PARAGRAPH 3
Development of maths gave method. Two points of view: maths a science, because about learning, maths not a science because not able to test. Normally called a science because is involved in all other sciences. Vocabulary: experiment, knowledge, scientific, therefore
PARAGRAPH 4
Conclusion Maths about numbers, but only part of maths. Maths may / may not be science, but in practice part of every science. Maths is the science of numbers. Vocabulary: in conclusion, important, in addition
Write 200-250 words.
Units 13 to 16
т
A the tendency of a body to maintain its speed and direction В the natural force of attraction exerted by the Earth on objects on or near its surface С easily broken
D branch of mathematics concerned with limits, differentiation and integration of functions E effect
Match the words and phrases with their meanings.