
- •Dealing with statistics вивчаючи статистику
- •Fundamentals of Statistics
- •Read and translate the text: What is statistics?
- •Complete the following sentences:
- •Present tenses Present Simple. Present Continuous. State Verbs
- •2. Fill in the gaps with the correct form of the verbs in brackets.
- •3. Fill in the gaps with the verbs in the box in the correct present tense.
- •Look at the following extracts. There are six incorrect verbs. Find and correct them.
- •Unit 2. A very brief history of statistics.
- •Practice the pronunciation of the words:
- •Read and memorize the following words and word combinations. Use them in the sentences. Pay attention to the prepositions.
- •Read and translate the following sentences:
- •Read and translate the text:
- •Why you need to use statistics
- •Past tenses 1 Past Simple. Past Continuous. Used to/ Would.
- •1. Fill in the gaps in this model answer with verbs from the box in the past simple.
- •3 A teacher and student are talking about local customs. Fill in the gaps with the verbs in brackets in the correct form. Use would or used to where possible.
- •Unit 3. Variable and constant. Discrete and continuous.
- •Practice the pronunciation of the words:
- •Read and memorize the following words. Use them in the sentences.
- •Read and translate the following sentences:
- •Read and translate the texts:
- •Variable and constant
- •Discrete and continuous
- •5. Write out the definitions from the texts:
- •6. Complete the following sentences:
- •7. Ask 10 general questions to the text.
- •8. Give examples of:
- •Present perfect Present Perfect. Present Perfect Continuous
- •1 Tick (/) the correct underlined verbs, and correct the verbs that are wrong.
- •3. Underline the correct form of the verbs.
- •4 Fill in the gaps with a verb from the box in the present perfect simple or present perfect continuous. You will need to use some verbs more than once.
- •Unit 4. Cardinal and ordinal. Population and sample.
- •1. Practice the pronunciation of the words:
- •Read and memorize the following words. Use them in the sentences.
- •Read and translate the following sentences:
- •Read and translate the texts:
- •5. Write out the definitions out of the texts:
- •6. Complete the following sentences:
- •7. Ask 10 general questions to the text.
- •8. Give examples of:
- •9. Summarize the contents of the text in 10 – 15 sentences. Use the expressions:
- •Past tenses іі Past Perfect. Past Perfect Continuous.
- •1 Fill in the gaps with the past perfect simple of the verbs in brackets in the positive or negative.
- •2 Complete the report with the past simple or past perfect simple of the verbs in brackets
- •Unit 5. Misuses of statistics.
- •Practice the pronunciation of the words:
- •Read and memorize the following words. Use them in the sentences.
- •Read and translate the following sentences:
- •Read and translate the texts:
- •Complete the following sentences:
- •6. Ask 10 general questions to the text.
- •7. Answer the following questions:
- •Sum up all the information about statistics and discuss this topic with your group-mates according to the plan:
- •Future 1 Plans, Intentions and Predictions: Present Continuous; Going to; Will
- •Fill in the gaps in the second half of this model answer with phrases from the box.
- •2 Fill in the gaps with the present continuous or will-future form of the verbs in brackets.
- •Unit 6. Basic statistical vocabulary.
- •1. Practice the pronunciation of the words:
- •2. Read, translate and memorize the following words. Use them in the sentences.
- •Read and translate the following sentences:
- •Read and translate the texts:
- •Variables and data
- •Complete the following sentences:
- •6. Ask 10 general questions to the text.
- •7. Answer the following questions:
- •8. Write out the definitions of variables from the texts:
- •Give examples of these variables.
- •Summarize the contents of the text in 10 – 15 sentences. Use the expressions:
- •Don’t put all your data into one basket!
- •Future 2 Present Simple; be about to; future continuous; future perfect
- •The following chart shows the results of a class survey about planned activities for Saturday afternoon. Complete the sentences using the future continuous tense.
- •Read the following projections about the future population of Australia
- •3 In six of these sentences there is a verb in the wrong tense. Underline each mistake and write the correction.
- •4 Fill in the gaps with a future form from this unit and the verbs in brackets.
- •Test Practice. Academic Writing Task 1
- •Test Yourself (Unit 1–6)
- •Unit 7. Sources of Data.
- •Practice the pronunciation of the words:
- •Read and memorize the following words. Use them in the sentences.
- •Read and translate the following sentences:
- •Read and translate the text:
- •Complete the following sentences:
- •Ask 10 general questions to the text.
- •Answer the following questions:
- •Agree or disagree with the following statements. Use the expressions:
- •Get ready to speak about sources of data. Use the following phrases:
- •Adjectives and Adverbs Describing things; adding information about manner, place, time, frequency and intensity.
- •1 Read the test task and the students' responses. Some of the adjectives they used are underlined. If they are used correctly, put a tick (/). If they are wrong, write the correct answer.
- •2 Write the missing adjectives and adverbs.
- •3 Match the beginnings (1-8) and the endings (a-h) of the sentences. Join them by adding a suitable -ed or -ing adjective formed from one of the verbs in the box. Use each verb once.
- •4 Underline the correct words.
- •Unit 8. Presenting Categorical Data.
- •1. Practice the pronunciation of the words:
- •2. Read and memorize the following words. Use them in the sentences.
- •3. Read and translate the following sentences:
- •4. Read and translate the text:
- •Column Variable
- •5. Complete the following sentences:
- •6. Ask 10 general questions to the text.
- •7 Answer the following questions:
- •8. Agree or disagree with the following statements. Use the expressions:
- •9. Get ready to speak about “Presenting Numerical Data”. Use the following phrases:
- •Comparing things Comparative and superlative adjectives and adverbs; other ways of comparing
- •1 Fill in the gaps with the adjectives in the box in a comparative or superlative form.
- •2 Fill in the gaps with the words in brackets in a comparative or superlative form.
- •3 Fill in the gaps in the model answer below. Use one word in each gap.
- •Academic Writing Task 2
- •Unit 9. Analysing and Presenting Data.
- •1. Practice the pronunciation of the words:
- •Read and memorize the following words. Use them in the sentences.
- •3. Read and translate the following sentences:
- •4. Read and translate the texts:
- •5. Complete the following sentences:
- •6. Ask 10 general questions to the text.
- •7. Answer the following questions:
- •Give examples of graphs you know. Modals I
- •I Obligation and necessity; suggestion and advice; adverbs
- •2 Fill in the gaps below with the correct form of (not) have to, must, (not) need or should.
- •3 Read the extract. Decide if the underlined phrases are correct or not. Tick (✓) them if they are right and correct them if they are wrong.
- •4 Fill in the gaps with the correct form of (not) have to, ought to or must(n't) and the verbs in brackets.
- •Modals II Ability; possibility; alternatives to modals
- •5 Underline the most suitable words. Sometimes both options are possible
- •6 Tick (✓) the sentence, a or b, which best matches the sentence on the right.
- •7 Replace the underlined phrases with a suitable past modal phrase.
- •Unit 10. Describing data.
- •Practice the pronunciation of the words:
- •Read and memorize the following words. Use them in the sentences.
- •3. Read and translate the following sentences:
- •4. Read and translate the texts:
- •Inferring differences and relationships
- •5. Complete the following sentences:
- •6. Ask 10 general questions to the text.
- •7. Answer the following questions:
- •11. Changes can also be described in more detail by modifying a verb with an adverb. Using a verb from box a and an adverb from box b make sentences describing the changes represented on the graph.
- •12. Read the following summary of the Magic Music Downloads. The expressions in bold refer to time and amount. Underline the expression that you think is correct according to the graph.
- •Write a brief summary of your own graph using the language you have covered in this lesson.
- •14. Extension. (If you have time in this lesson or for the beginning of the next lesson)
- •Up close and personal: Survey results
- •If your data are categorical:
- •If your data are numerical:
- •Reported speech Tense changes; time references; reporting questions; reporting verbs
- •1 Here is a conversation between Tanya and her teacher.
- •2 Underline the correct verb in each sentence.
- •3 Correct the mistakes in these sentences.
- •4 Report each of the sentences below using a verb from the box. Remember that you do not need to report the original words exactly.
- •Uniit 11 categorical data in tables and graphs
- •Practice the pronunciation of the words:
- •Memorize the following words and word combinations. Use them in the sentences. Pay attention to the prepositions.
- •Read and translate the following sentences:
- •Read and translate the text:
- •Complete the following sentences:
- •Ask 10 general questions to the text.
- •Answer the following questions:
- •Get ready to speak about presenting categorical data using tables. Draw the examples of a frequency, a cross-classification table and graphs to support your talk.
- •1 Fill in the gaps with the correct form of the verbs in brackets.
- •2 Underline the correct form of the verbs.
- •4 Fill in the gaps in the letter using both of the verbs in brackets.
- •Unit 12 numerical data in tables and graphs
- •1. Practice the pronunciation of the words:
- •2. Memorize the following words and word combinations. Use them in the sentences. Pay attention to the prepositions.
- •3. Read and translate the following sentences:
- •4. Read and translate the text:
- •Complete the following sentences:
- •6. Ask 10 disjunctive questions to the text.
- •7. Answer the following questions:
- •8. Get ready to speak about the graphs. Use the following phrases:
- •Likelihood based on conditions
- •I. Zero, first and second conditionals; other ways to introduce a condition
- •2 Fill in the gaps in the extracts below using the verbs in brackets in the correct form.
- •3 Decide if the underlined verbs are correct or not. Tick (✓) them if they are right and correct them if they are wrong
- •4 Underline the correct words.
- •II Third conditional; mixed conditionals; wishes and regrets; should(n’t) have
- •1 Fill in the gaps with the correct form of the verbs in brackets.
- •2 Read about two scientific discoveries that were made due to chance and complete the sentences.
- •3 Find and correct the mistakes in the sentences below.
- •Test Practice. Academic Reading
- •Academic Writing Task 3
- •Test Yourself (Units 7 – 12)
- •Keys to grammar exercises удалено Grammar references
- •Future continuous
- •Future perfect
- •Future perfect continuous
- •1 Adjectives
- •2 Adverbs
- •Irregular adverbs
- •Reported Statements
- •Reported Questions
- •Reported Orders
- •Reported Commands, Requests, Suggestions, etc
- •Difference in meaning between the to-infinitive and -ing form
- •The infinitive without to (also called bare infinitive) is used:
- •Conditionals:Types 2 and 3
- •Other words to introduce a condition
- •In case
- •Mixed conditionals
- •Irregular verbs
- •Glossary
- •Key vocabulary index
- •References
- •Content
Keys to grammar exercises удалено Grammar references
UNIT 1. Present Tenses. Present Simple
+ |
Verb+ (e)s |
He plays tennis |
-- |
Do/does not + verb |
He doesn’t play tennis |
? |
Do/does … + verb? |
Does he play tennis? |
We use the present simple for:
facts and permanent states. Mark works for an advertising company.
general truths and laws of nature. Oil floats on water.
habits and routines (with always, usually, etc). He usually goes jogging in the mornings.
timetables and programmes (in the future). The plane to Madrid takes off at 6:30 pm.
sporting commentaries, reviews and narrations. Beckham wins the ball, then he crosses and Owen scores.
feelings and emotions. I love Paris, because it's a beautiful city.
The time expressions we use with the present simple are: Usually, often, always, every day/week/month/year/etc, in the morning/afternoon/evening, at night/the weekend, on Fridays, etc
Present Continuous
+ |
Am/is/are + Verb + ing |
He’s living in Thailand. |
-- |
Am/is/are not + verb + ing |
He isn’t living in Thailand. |
? |
Am/is/are … + verb + ing? |
Is he living in Thailand? |
We use the Present Continuous
for actions taking place at or around the moment of speaking. The kids are playing video games in the living room.
for temporary situations. They are painting the house.
for fixed arrangements in the near future. I am going to a party tonight.
for currently changing and developing situations. The rivers are becoming more and more polluted.
with adverbs such as always to express anger or irritation at a repeated action. She is always biting her nails when someone talks to her.
Note: The verb enjoy can be used in continuous tenses to express a specific preference.
Bob really enjoys going to the cinema, (general preference)
The time expressions we use with the present continuous are: Now, at the moment, at present, these days, nowadays, still, today, tonight, etc
State Verbs are verbs which describe a state rather than an action, and so do not usually have a continuous tense. These verbs are:
verbs of the senses (appear, feel, hear, look, see, seem, smell, sound, taste, etc). She seems really worried.
verbs of perception (agree, assume, believe, forget, hope, know, realise, remember, understand, etc). I believe what he says.
verbs which express feelings and emotions (adore, desire, despise, detest, dislike, enjoy, hate, like, love, mind, prefer, want, etc). Jane hates eating spicy food.
and some other verbs (appear, be, belong, contain, cost, fit, have, include, keep, matter, mean, need, owe, own, resemble, seem, want, weigh, wish, etc). This house belongs to a very rich man.
!!! Some of these verbs can be used in continuous tenses, but with a difference in meaning.
THINK I think he's a very good actor. (= believe)
We are thinking about moving to a new house. (=are considering)
HAVE She has hundreds of books. (= own, possess)
Everyone is having a great time at the party. (= experiencing)
He is having a bath. (= taking) They are having lunch. (= eating)
SEE You can see my house from up here. (= it is visible)
I see what he means. (= understand)
I'm seeing the dentist this evening. (= am meeting)
TASTE This pie tastes delicious. (= it is, has the flavour of)
Ann is tasting the soup to see if it's spicy enough. (= is testing)
SMELL His perfume smells very good. (= has the aroma)
He is smelling the flowers. (= is sniffing)
APPEAR She appears to know where she's going. (= seems to)
He is appearing in a play at the Rex. (= is performing)
FIT The skirt fits her perfectly. (= it's the right size)
John is fitting a new lock on the front door. (= is attaching/installing)
UNIT 2. Past Tenses. Past Simple.
+ |
Verb+ (e)d |
He played tennis |
-- |
Did not + verb |
He didn’t play tennis |
? |
Did … + verb? |
Did he play tennis? |
We use the past simple:
for an action that occurred at a definite time (stated or implied) in the past.
They spent their summer holidays in Italy last year.
for actions that happened in the past, one immediately after the other.
She locked the door behind her and took off her shoes.
for habits or states which are now finished.
Mr Smith worked in a bank when he was younger.
Note: used to can also be used instead of the past simple for habits/repeated actions in the past.
ago (= back in time from now) is used with the past simple. I got home about an hour ago.
Time expressions we use with the past simple include: yesterday, then, when, How long ago?, last night/week/month/year/Sunday/June/etc, in 1980, etc
Past Continuous.
+ |
Was/were + Verb + ing |
He was watching the news. |
-- |
Was/were not + verb + ing |
They weren’t watching the news. |
? |
Was/were … + verb + ing? |
Were you watching the news? |
We use the past continuous:
for an action which was in progress when another action interrupted it. We use the past continuous for the action in progress (the longer action) and the past simple for the action which interrupted it (shorter action).
We were watching a horror film on TV when we heard a strange noise.
for two or more simultaneous actions in the past.
They were having dinner while Michael was washing the car.
for an action which was in progress at a stated time in the past. We don't mention when the action started or finished. At 8 o'clock last night I was walking home from work.
to describe the atmosphere, setting, etc and to give background information to a story.
The birds were singing and the sun was shining. I was sitting outside in the garden when something strange happened...
Note: When there are two past continuous forms in a sentence with the same subject we can avoid repetition by using just the present participle (-ing form) and leaving out the verb to be. He was walking along, and he was eating an ice cream. = He was walking along, eating an ice cream.
The time expressions we use with the past continuous include: while, when, as, all morning/evening/day/week/etc
!!! State verbs do not generally have a continuous form.
Used to/Would
+ |
Used to/would + infinitive |
He used to/would play tennis |
-- |
Did not + use to + infinitive |
He didn’t use to play tennis |
? |
Did … + use to + infinitive? |
Did he use to play tennis? |
We use used to/would (always/often/etc) + bare infinitive to refer to past habits or states.
He used to/would go jogging every morning when he was younger.
In such cases used to/would can be replaced by the past simple with no change in meaning.
When the children were younger they woke up/used to wake up late every day.
But for an action that happened at a definite time in the past we use the past simple, not used to.
I drove to work yesterday. (NOT: I used to drive to work yesterday.)
We also use used to to talk about past facts or generalizations which are no longer true. I used to live in Rome. Now I live in Madrid. (NOT: I would live)
!!! Would is unusual in the negative form and in yes/no questions.
!!! We do not use would with state verbs.
UNIT 3. Present perfect
We use the present perfect when we want to show a link between the present and the past.
+ |
Have/has + past participle |
He’s started the assignment. |
-- |
Have/has not + past participle |
I haven’t started the assignment |
? |
Have/has … + past participle? |
Have you started the assignment? |
We use the present perfect:
an action which started in the past and continues up to the present, especially with state verbs (see Unit 1, above) such as be, have, like, know, etc. He has known me for six years.
a recently completed action. I have (just/already) finished my essay.
personal experiences or changes. She has put on five kilos.
an action that happened at an unstated time in the past. The emphasis is on the action; when it occurred is unimportant or unknown.
I have washed the dishes. Natalie has been to France twice.
Time expressions used with the present perfect: already (+) is used in statements and questions (to suggest surprise). I have already spoken to Ann. Have you finished cooking already?
Yet is used with the present perfect in questions (?) and negations (-).
Have you paid the bill yet? Steven hasn't finished work yet.
Other time expressions we use with the present perfect are: always, just, ever, never, so far, today, this week/month/etc, how long, lately, recently, still (in negations), etc, for/since
Present Perfect Continuous
+ |
have/has been + verb + ing |
He’s been studying really hard. |
-- |
have/has not been + verb + ing |
He hasn’t been studying really hard.. |
? |
have/has …. been + verb + ing? |
Have they been studying really hard? |
We use the present perfect continuous:
to put emphasis on the duration of an action which started in the past and continues up to the present. We have been working on this project all morning.
for an action which started in the past and lasted for some time. It may still be continuing, or have finished but left a result still visible in the present. She's tired because she has been working very hard lately.
to express anger, irritation or annoyance. She has been reading my newspaper without asking me.
for repeated actions in the past continuing to the present. He has lost weight because he has been going to the gym every day
Time expressions used with the present perfect (simple and continuous):
since (= from a starting point in the past) is used with the present perfect (simple and continuous). I haven't seen Paul since we left school.
for (= over a period of time) is used with the present perfect (simple and continuous). They've been working on the project for months.
Note: with the verbs live, work, teach and feel we can use the present perfect or the present perfect continuous with no difference in meaning. He has lived/has been living in Manchester for the last six years.
GRAMMAR EXTRA: We use the present perfect tense with the following structures: It/this/that is the first/thesecond/the best/the only/the worst ...
It’s the first time I’ve ever had to write such a long assignment.
That’s the sixth cup of coffee you’ve had today.
Unit 4. Past tenses II. Past Perfect
+ |
Had + past participle |
He’d started the assignment. |
-- |
Had not + past participle |
I hadn’t started the assignment |
? |
Had … + past participle? |
Had you started the assignment? |
We use the past perfect:
when we are talking about the past and want to mention something that happened earlier:
His father was a composer and his grandfather had also been a musician. (Mozart's grandfather was a musician and then later his father became a composer) Sometimes we use words like just or already. Notice that these adverbs go between the auxiliary and the main verb:
By the time he was 17, Mozart's reputation had already begun to spread through Europe.
!!! We use the past simple if the events are mentioned in chronological order:
Mozart’s grandfather was a musician and his father was a composer.
for an action which happened before another past action or before a stated time in the past. Ann had finished her homework by five o'clock.
for an action which finished in the past and whose result was visible at a later point in the past. She had sprained her ankle a few days earlier and it was still hurting.
for a general situation in the past. Everything had seemed normal at first.
with words like when, as soon as, by the time, after to show the order of events:
When Mozart was born, five of his siblings had already died. (Mozart's siblings died first, then Mozart was born)
!!! Notice the difference in meaning between these two sentences:
When I got home, my husband cooked dinner. (= I got home and then my husband cooked dinner)
When I got home, my husband had cooked dinner. (= my husband cooked dinner before I got home)
to talk about an indefinite time before a particular point in the past, often with words like always, sometimes, never, before, by + fixed time:
His family were richer than they had ever been before. (= they were not as rich at any time before this point in the past)
By the time he was six, the little boy had written a composition of his own,
to report past events using reporting verbs: The man told me he had met my father a long time before.
The time expressions we use with the past perfect are: before, after, already, justf for, since, till/until, when, by the time, never, etc
Past Perfect Continuous
+ |
had been + verb + ing |
He’d been studying for ages. |
-- |
had not been + verb + ing |
He hadn’t been studying for long. |
? |
had …. been + verb + ing? |
Had they been studying for long? |
We use the past perfect continuous:
to put emphasis on the duration of an action which started and finished in the past, before another action or stated time in the past, usually with for or since. He had been driving for an hour when he realised he had forgotten to lock the door.
for an action which lasted for some time in the past and whose result was visible in the past. He had been swimming and his hair was still wet.
GRAMMAR EXTRA: We use the past perfect tense to talk about the past disappointment or things that did not happen as expected:
The politician had expected to be re-elected, but in the end she only got ten per cent of the vote.
I had been hoping to go with my brother on his trip but I was too sick to go.
UNIT 5. Future I
+ |
Will + Verb |
He’ll enjoy it. |
-- |
will not (won’t) + verb |
He won’t enjoy it. |
? |
Will … + verb? |
Will they enjoy it? |
We use the future simple (will + bare infinitive) for:
decisions made at the moment of speaking. It's cold in here - I'll close a window.
predictions about the future, based on what we think, believe or imagine, using the verbs think, believe, expect, etc, the expressions be sure, be afraid, etc, and the adverbs probably, certainly, perhaps, etc. He will probably come later.
promises, threats, warnings, requests, hopes, and offers. Will you help me wash the dishes?
We use be going to:
for plans, intentions or ambitions for the future. He's going to be a lawyer when he finishes university.
actions we have already decided to do in the near future. Peter is going to work with his uncle during the holidays.
predictions based on what we can see or what we know, especially when there is evidence now that something will happen later. It's cloudy; it's going to rain tonight.
We use the present continuous for:
definite arrangements for the future. I'm flying to Paris tomorrow. (I've bought my ticket.)
Grammar extra: Making predictions using words other than will
In formal writing we often use expressions other than will to predict the future (e.g. be likely to, be predicted to, be estimated to, be certain to):
The population is likely to increase to 22 million in 2011.
UNIT 6. Future II
1. We use the present simple ('timetable future') for:
fixed routines and arrangements for the future (timetables, programmes, etc), usually decided by someone else. My flight to Paris leaves at 6 o'clock tomorrow.
after conjunctions such as when, as soon as, after, before, until, as long as:
I’ll
be feeling really nervous
when
I
get
to Rome,
(not
when
I will get to Rome)
Can
you do it
before
we
have
the departmental meeting?
(not
before
we will have
the
meeting)
Note that other present tenses are also possible:
The time expressions we use with future forms (future simple, be going to, present continuous, present simple) include: tomorrow, the day after tomorrow, tonight, soon, next week/summer, etc, in a week/month, etc
2. Be about to
-
+
am/is/are about to + verb
I'm about to go to Rome.
--
am/is/are not about to + verb
I'm not about to go to Rome.
?
am/is/are... + verb?
Are you about to go to Rome?
We use be about to to talk about something likely to happen in the immediate future: I’m about to go to Rome for a conference. (I will be leaving very soon)
!!! The negative form suggests the speaker has no intention of doing something: I’m not about to cancel my trip. (= I have no intention of cancelling my trip)