
- •Навчальний посібник
- •First term
- •Second term
- •Mathematics as a science
- •Mathematics
- •Task 17
- •Isaak Newton
- •Age problem
- •Self-assessment Be ready to speak on the topic "Mathematics as an independent science" using the following as a plan:
- •Check your active vocabulary on the topic:
- •Translate into English and be ready to give illustrative examples:
- •Fill in the gaps using a word from the list:
- •Arithmetic operations
- •Four basic operations of arithmetic
- •Two Characteristics of Addition
- •Self-assessment
- •Rational numbers
- •Rational and irrational numbers
- •Rational and irrational numbers
- •What is a number that is not rational?
- •Self-assessment
- •Properties of rational numbers
- •Properties of rational numbers
- •Properties of rational numbers
- •Reciprocal Fractions
- •Reducing Fractions to Lowest Terms
- •A Visit to a Concert
- •Self-assessment
- •Geometry
- •Meaning of geometry
- •Points and Lines
- •The history of geometry
- •Strange figures.
- •Measure the water.
- •Self-assessment
- •Simple closed figures
- •Simple closed figures
- •Simple closed figures
- •Problems of Cosmic and Cosmetic Physics
- •How to find the hypotenuse
- •Geometry Challenges
- •Self-assessment
- •Functional organization of computer
- •Computers
- •An a is a b that c
- •Find the numbers
- •Hundreds and hundreds
- •Tasks for self-assessment
- •Computer programming
- •Now read the description below. Do you like it? Why/Why not?
- •Instruction, instruct, instructed, instructor
- •Programming languages
- •Testing the computer program
- •Genius’s answer
- •A witty answer
- •The oldest profession
- •Tasks for self-assessment
- •Additional texts for reading
- •Read the text and summarise the main ways of expressing numbers in English.
- •Expressing numbers in english
- •Expressing millions
- •Ways of expressing the number 0
- •Fractional numbers
- •Writing full stops and commas in numbers
- •A short introduction to the new math
- •Algorithm
- •Mathematical component of the curriculum
- •Some facts on the development of the number system
- •The game of chess
- •Computers in our life
- •Is "laptop" being phased out?
- •The Main Pieces of Hardware
- •Text 10
- •Programs and programming languages
- •Text 11
- •All about software Categories of applications software explained
- •Systems Software
- •Applications Software
- •All the Other 'Ware Terminology
- •Malware
- •Greyware
- •Text 12
- •Advantages and disadvantages of the internet
- •Advantages
- •Disadvantages
- •Text 13
- •Text 14
- •Thinking about what we’ve found
- •Meta-Web Information
- •Text 15
- •Computer-aided instruction
- •Text 16
- •Teacher training
- •Іменник Утворення множини іменників
- •Правила правопису множини іменників
- •Окремі випадки утворення множини іменників
- •Присвійний відмінок
- •Практичні завдання
- •Артикль
- •Вживання неозначеного артикля
- •Вживання означеного артикля
- •Відсутність артикля перед обчислюваними іменниками
- •Вживання артикля з власними іменниками
- •Практичні завдання
- •Прикметник
- •Практичні завдання
- •Числівник
- •Практичні завдання
- •Займенник Особові займенники
- •Присвійні займенники
- •Зворотні займенники
- •Вказівні займенники
- •Питальні займенники
- •Неозначені займенники
- •Кількісні займенники
- •Практичні завдання
- •Прийменник
- •Дієслово
- •Неозначені часи indefinite tenses
- •Теперішній неозначений час the present indefinite tense active
- •Вживання Present Indefinite Active
- •Майбутній неозначений час the future indefinite tense active
- •Практичні завдання
- •Did you have a meeting yesterday?
- •I had an exam last week.
- •I didn't have an exam last week. Did you?
- •Тривалі часи дієслова continuous tenses
- •Теперішній тривалий час The present continuous tense active
- •Минулий тривалий час The past continuous tense active
- •Майбутній тривалий час The future continuous tense active
- •Практичні завдання
- •Перфектні часи perfect tenses
- •Теперішній перфектний час The present perfect tense active
- •Минулий перфектний час The perfect past tense active
- •Майбутній перфектний час The future perfect tense active
- •Практичні завдання
- •Узгодження часів sequence of tenses
- •Практичні завдання
- •Модальні дієслова modal verbs
- •Практичні завдання
- •Типи питальних речень question types
- •Практичні завдання
- •Пасивний стан дієслова passive voice
- •Практичні завдання
- •Check yourself
- •Читання буквосполучень
- •Читання голосних буквосполучень
- •Читання деяких приголосних та їхніх сполучень
- •Irregular verbs
- •Indefinite Tenses
- •Continuous Tenses
- •Perfect Tenses
- •Perfect Continuous Tenses
- •List of Proper Names
- •Sources of used materials
- •Contents
Indefinite Tenses
|
Past |
Present |
Future |
Affirmative |
I worked You worked He worked |
I work You work He works |
I will work You will work He will work |
Negative |
I didn’t work You didn’t work He didn’t work
|
I don’t work You don’t work He doesn’t work
|
I won’t work You won’t work He won’t work
|
Interrogative |
Did I work? Did you work? Did he work? |
Do I work? Do you work? Does he work? |
Shall/ Will I work? Will you work? Will he work? |
Time expressions |
|||
|
yesterday, last week, how long ago, then, when, in 1992 etc. |
every day/ week/ month/ year, usually, sometimes, always, rarely, never, often, in the morning/evening, at night, on Mondays etc.
|
tomorrow, tonight, next week/month, in two/three etc. days, the day after tomorrow, soon, in a week/ month etc. |
Continuous Tenses
|
Past |
Present |
Future |
Affirmative |
I was working You were working He was working |
I am working You are working He is working |
I will be working You will be working He will be working |
Negative |
I wasn’t working You weren’t working He wasn’t working |
I’m not working You aren’t working He isn’t working |
I won’t be working You won’t be working He won’t be working
|
Interrogative |
Was I working? Were you working? Was he working? |
Am I working? Are you working? Is he working? |
Will I be working? Will you be working? Will he be working? |
Time expressions |
|||
|
while, when, as, the moment that, yesterday
|
now, at the moment, at present, today, nowadays, tonight, always, still, etc.
|
tomorrow at 6, tomorrow from 6 to 7, when I call
|
Perfect Tenses
|
Past |
Present |
Future |
Affirmative |
I had worked You had worked He had worked
|
I have worked You have worked He has worked |
I will have worked You will have worked He will have worked |
Negative |
I hadn’t worked You hadn’t worked He hadn’t worked
|
I haven’t worked You haven’t worked He hasn’t worked |
I won’t have worked You won’t have worked He won’t have worked |
Interrogative |
Had I worked? Had you worked? Had he worked?
|
Have I worked? Have you worked? Has he worked? |
Will I have worked? Will you have worked? Will he have worked? |
Time expressions |
|||
|
for, since, already, after, just, never, yet, before, by, by the time etc. |
just, ever, never, already, always, how long, so far, recently, today, this week/ month etc.
|
by tomorrow, next month/ June, by the time etc. |