II. School – leavers have to choose the institution to enter and the faculty to study at. In pairs, advertise Donetsk National University or the faculty of mathematics. Use photos of the university above or draw your own pictures. Be creative!
For example: Welcome to Donetsk National University!
It is one the best universities in Ukraine!
The best teachers deliver lectures in Mathematics!
Practice set 6
| There are about 140 museums, the Art Museum and the Local Studies Museum being the most known. |
| Donetsk has 5 universities, 3 academies and 11 institutes. |
| The city was founded in 1869 by John Hughes. |
| There are 17 coal mines and more than 200 industrial enterprises including 5 metallurgical plants. |
| The best things about Donetsk are the people and its friendly atmosphere. |
I. Complete the mind-map ‘Donetsk’ to tell your partner about its history of foundation, its best things, its attractions for turists etc.
A. Start speaking.
B. Listen to your partner and help. Add more information.
II. In pairs, describe your favorite place in Donetsk and tell why you like it best of all.
III. In groups, imagine you are asked to be a guide for foreign tourists. Where would like to start your excursion? What would you like to tell them about?
(1) I II III IV V VI VII VIII IX X
(2) 1 2 3 4 5 6 7 8 9 10
(1)XX XXX XL XLIX IL L LX LXX LXXX XC
(2) 20 30 40 49 50 60 70 80 90
(1) XCIX IC C CC CCC CD D DC DCC DCCC
(2) 99 100 200 300 400 500 600 700 800
(1) CM CMXC M
(2) 900 990 1000
(3) 9658 (4)5 kg. (5) 2 (6)2nd (7)+5 (8) – 5
(9) a, b, c… (10)  (11) 2,4,6,8 (12) 1,3,5,7
(13)3,5,7,11 (14)  (15)  (16) 
(17)  (18)  (19)  (20)0 357
(21)0 6666…=  (22)3+2=5
(23)3–2=1 (24)3 2=6 (25) 6  2=3; 3x2=6
|
Practice set 7
NUMBERS
1–26 numbers
1 Roman numerals
2 Arabic numerals
3 abstract number, a four-figure number [8: units; 5: tens; 6: hundreds; 9: thousands]
4 concrete number
5 cardinal number (cardinal)
6 ordinal number (ordinal)
7 positive number (with plus sign)
8 negative number (with minus sign)
9 algebraic symbols
10 mixed number [3: whole number (integer); 
: fraction]
11 even numbers
12 odd numbers
13 prime numbers
14 complex number [3: real part; 
: imaginary part]
15–16 vulgar fractions
15 proper fraction [2: numerator, horizontal line; 3: denominator]
16 improper fraction, also the reciprocal of item 15
17 compound fraction (complex fraction)
18 improper fraction [when cancelled down produces a whole number]
19 fractions of different denominations [35: common denominator]
20 proper decimal fraction with decimal point and decimal places [3: tenths; 5: hundredths; 7: thousandths]
21 repeating (recurring) decimal
22–25 fundamental arithmetical operations
22 addition (adding) [3 and 2: the terms of the sum: + plus sign; = equals sign; 5: the sum]
23 subtraction (subtracting); [3: the minuend; –: minus sign; 2: the subtrahend; 1: the remainder (difference)]
24 multiplication(multiplying);[3:the multiplicand; ×: multiplication sign; 2:the multiplier; 2 and 3:factors; 6:the product ]
25 division (dividing); [6: the dividend; division sign; 2: the divisor; 3: the quotient]
I. Mind–map’ NUMBERS’. When you read this ‘mind-map’, you’ll meet words that are new to you. First try to guess their meaning and then look them up in a dictionary.
II. Answering and explaining.
Quiz I
1. Which of the following numbers has the greatest value?
A. –8.3
B. |–7.7|
C. 2
D. |4.5|
E. 6.8
F.
Quiz II
1. If m and n are negative integers, which of the following must be true?
I. m + n < 0
II. mn > 0
III. mn > n
A. I only
B. II only
C. I and II
D. I and III
E. I, II and III
2. If v and w are both odd integers, which of the following could be an even integer?
A. vw
B. v + w + 1
C. v/w
D. 2(v + w)
E. 2v +w
Answers and explanations
Quiz I
1. B is correct. The question asks for the greatest value, so you want the number farthest to the right on a number line. The two absolute values convert to 7.7 and 4.5. Of all five numbers, 7.7 is the greatest, so B is the best answer.
Quiz II
1. E is correct. Adding two negative numbers will just result in an even smaller (further to the left) negative number. So m + n < 0 and I is true. You know that a negative multiplied by a negative results in a positive number. So mn > 0 and II is true. This also means that mn is greater than any negative number, including n. Therefore mn > n and III is true. So the answer is E.
2. D is correct. You know that an odd integer multiplied by an odd integer results in an odd integer. So vw is odd and you can eliminate A. An odd integer plus an odd integer results in an even integer. So v + w is even, but v + w + 1is odd and you eliminate B. Dividing an odd integer by an odd integer gives you either an odd integer, such as 15/5=3, or a non-integer, such as 17/5=3 2/5. So eliminate C. An even number times an odd is even, so 2v is even. Adding an even to an odd is odd, so 2v + w is odd and you should cross off E. As we saw earlier, v +w is even and multiplying by 2 keeps it even. (Even if v + w were odd, multiplying by 2 would make it even.) So D is the best answer.
Дата: 2016-10-02, просмотров: 271.
