- •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
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.
a fractal
to fill space
a miniature replica
at different scales
to coin the term
deterministic
to undergo iteration
stochastic
a feedback
iterated function system
recursion / recursive
distorted
self-similarity
recurrence relations
non-integer dimension
to preserve
statistical quantity
complex number
magnification
to approximate to a degree
iterative
a list
soil
craft
to classify
to appear identical
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.
Fractal dimension, lightning bolt, Euclidean geometry, craft, to be approximated by fractals, feedback, perceptual psychology.
Find the words in the text which match the following definitions.
Precipitation falling from clouds in the form of ice crystals.
A thin, flat or convex slab of hard material such as baked clay or plastic, laid in rows to cover walls, floors, and roofs.
A primary source; an origin.
The rough image cast by an object blocking rays of illumination.
A picture or decorative design made by setting small colored pieces, as of stone or tile, into a surface.
Any of various ritualistic geometric designs symbolic of the universe, used in Hinduism and Buddhism.