- •Unit 1: Fractals
- •Identify the stressed sound in each word as in the example.
- •Put the following words into the corresponding column according to the sound of the adjective or regular past ‘ed’.
- •Organize the information from the text in the form of a mind map or a flow chart. For example, types properties
- •Fractals
- •Work in pairs and see if you can remember the following words and phrases. Take turns to ask each other. Use the Mini-dictionary (unit 1) if necessary.
- •In the text, find one example of the passive infinitive, five examples of verbs in the passive voice.
- •Explain the meaning of the words and phrases below.
- •Find the words in the text which match the following definitions.
- •Match the words and phrases (1-10) from the text with their definitions (a-j).
- •Fill the gaps in the sentences with the correct words from the text. The first letter has been given.
- •Fill the gaps with the words given below.
- •Find and cross out extra words in the text. There are 10 unnecessary words.
- •Match the words in the left-hand column with the words in the right-hand column to make phrases from the text. Use each word only once. Translate the collocations into Ukrainian.
- •Put the phrases and words in the correct order to make meaningful sentences. The first word of each sentence starts with the capital letter.
- •Fill in the gaps with a suitable preposition.
- •Work in pairs. Look through the applications if fractal analysis below and put them into the corresponding row of the chart.
- •Put the words in brackets into the correct form.
- •One of the underlined parts of a sentence contains a mistake. Find it and correct.
- •Rewrite the sentences using the passive voice where possible. Omit the agent where it can be omitted.
- •. Put the verbs in brackets into the correct passive form.
- •Fill in ‘by’ or ‘with’.
- •Help your friend to translate the following sentences into English.
- •Discuss the following questions in small groups or pairs.
- •Prepare a short two-minute presentation for your classmates on one of the topics below. You may use the information from the unit or do some research on the Internet.
- •Translate the following sentences into Ukrainian for your friend’s poster.
- •Using the information from this unit and further reading section write your own short wiki entry about fractals. (up to 200 words).
- •Do the quiz to find out how much you found out about fractals. (Problem-Solving, unit 1)
- •Fractals
- •Fractal patterns spotted in the quantum realm
- •Fractals in the biological sciences
- •The common prepositions in english.
- •Passive voice
Match the words in the left-hand column with the words in the right-hand column to make phrases from the text. Use each word only once. Translate the collocations into Ukrainian.
1
to throw
into parts
2
to coin
an indication
3
to fill
a form
4
to undergo
a shadow
5
to give
across scales
6
to split
space
7
to uncover
a term
8
to display
iteration
9
to preserve
secrets
10
to distort
similarity
Put the phrases and words in the correct order to make meaningful sentences. The first word of each sentence starts with the capital letter.
classifying "random" / our precision / Fractals improved / or organic objects/ in describing / and.
of nature / of the standard geometry / and many / geometric shapes /Most physical systems / human artifacts / are not regular / derived from Euclid.
and the same general / You can / an ever-increasing cascade / many times / pattern is / magnify fractals / repeated in.
disordered / During Pollock’s era, / to be / randomly / assumed / operating essentially / nature was.
Fill in the gaps with a suitable preposition.
Much of the power of fractals is best seen __________ computer art.
Joanne has just arrived ________ London.
Shops close ________10 am. ________ this area.
It is easy to dismiss Mandelbrot in terms of serious applications, because his emphasis _______ graphics and art, beauty and design makes his work fertile ground ________ recreational mathematics.
We´ve got to meet the rest of the group________ Saturday afternoon.
Never drive ________ the middle of the road. Keep ________ the right.
In Britain you must drive ________ the left side.
The materials will be heated _______ a glass oven _________ a temperature _______ 1,500 degrees Centigrade.
I´m so busy ________ Christmas that I have to prepare everything ________ advance.
Plate glass is made from several raw materials such as soda ash and silica mixed __________ a little water.
In 1869 Dmitri Mendeleev created the periodic table of chemical elements ________ noticing that elements' properties fit ______ a repeating pattern, which physicists later explained as a consequence of atomic structure.
Work in pairs. Look through the applications if fractal analysis below and put them into the corresponding row of the chart.
galactic clustering, forest ecosystem dynamics, fracture mechanics, fractal antennas, graphics in games design, soil-water retention properties, modeling rainfall, spatial patterns of plant communities, estimates of cyclone track, analysis of the roughness of the sea-floor, study of turbulence flows, , special effects in movies, fracture mechanics, forest fire models, study of caves and crustal deformations, map generation, signal and image compression, avalanche modeling, natural calamities prediction |
BRANCH OF SCIENCE |
APPLICATIONS |
engineering |
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astrophysics |
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hydraulics |
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computer science |
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ecology |
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geomorphology/hydrology |
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meteorology |
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oceanography |
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cartography |
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