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1、A What do you know about We all use numbers in our daily life. Numbers are an international language. What do you know about the language of numbers? Learn the following: A decimal number is written as A decimal number is written as a dota dot. .egeg. 0.65 (zero point six five/ sixty-five). 0.65 (ze

2、ro point six five/ sixty-five) 8.08 (eight point o eight.) 8.08 (eight point o eight.)Read the following:Read the following:7.53, 3.42, 0.01, 86.207.53, 3.42, 0.01, 86.201 a decimal number( 小數(shù)）小數(shù)） Odd numbers cannot be divided by two Odd numbers cannot be divided by two to give a whole number withou

3、t a to give a whole number without a fraction.fraction. 2 odd numbers (奇數(shù)）奇數(shù)） 3 even numbers (奇數(shù)）奇數(shù)） Even numbers can be divided by two to Even numbers can be divided by two to give a whole number.give a whole number. A fraction is the exact division of a A fraction is the exact division of a number

4、.number. eg eg. . : one half : one half 2/3: two thirds 2/3: two thirds a quarter a quarter 1/10 one tenth 1/10 one tenthRead the following:Read the following:3/5, 6/11, 1/83/5, 6/11, 1/8 4 a fraction (分?jǐn)?shù)分?jǐn)?shù)） 5 plus , add (加）加） Two plus five is seven.Two plus five is seven.Two and five is seven.Two a

5、nd five is seven.Two added to five is seven.Two added to five is seven.3+ 12 =?3+ 12 =?What is 3 plus twelve? What is 3 plus twelve? Read the following:Read the following:25 + 24 = 49 30 + 12 = ?25 + 24 = 49 30 + 12 = ? 6 minus (減，減號(hào)，負(fù)號(hào)）減，減號(hào)，負(fù)號(hào)） subtract (減減)12-3=912-3=9Twelve minus three is nine.Tw

6、elve minus three is nine.Three subtracted from twelve is nine.Three subtracted from twelve is nine. Read the following:Read the following:2-2=0 19- 12=7 97-65=?2-2=0 19- 12=7 97-65=? 7 times, multiply 乘乘 Two times three is six.Two times three is six.Two and three multiply makes six.Two and three mul

7、tiply makes six.Two multiplied by three makes 6.Two multiplied by three makes 6. Read the following:Read the following:16 16 4 = 64 5 4 = 64 5 3 = 15 3 = 15 8 divide 除除3030 6 = 5 6 = 5Thirty divided by six is five.Thirty divided by six is five.Read the following:Read the following:20 20 4 = 5 18 4 =

8、 5 18 3 = 6 3 = 6 45%45% = = 9090o oa percentageequalsa number showing degreesMatch the words with the pictures, signs and numbers.1 a demical number2 a pair of odd numbers3 a fraction4 zero5 add; plus6 subtract; minus 7 multiply, times8 divide9 a number showing degrees10 a percentage11 a pair of nu

9、mbers12 equalsA What do you know aboutjfcbalidhkge1 abacus: an old form of calculator2 accurate: with no mistakes3 ancient: very old4 at least : not less than5 bead: a small ball with a hole through the middle6 calculate: use numbers to find answers7 consist of: be made up of something8 develop: gro

10、w bigger and/ or better9 electronic: using electrons for power 10 electronic: using electrons for power11 figure: a symbol rather than a word12 flash: a very short time, an instant13 however: yet14 international: connected to more than one country or nation15 invent: make for the first time16 nearly

11、: almost17 powerful: strong18 system: group of things/ parts that work togetherFill in the blanks with correct words.1.1. If you _ 8 and 5 , you get 13. If you _ 8 and 5 , you get 13.2.2.I use the pocket _ to check my I use the pocket _ to check my answers.answers.3.3.The UN is an _ organization The

12、 UN is an _ organization which helps to keep a peaceful world.which helps to keep a peaceful world.4.4.The underground is part of Shenzhens The underground is part of Shenzhens transport _.transport _.5.5.The _ Chinese drew pictures to The _ Chinese drew pictures to show different meanings.show diff

13、erent meanings.addcalculatorinternationalsystemancientFill in the blanks with correct words.6. Before calculators were invented, the 6. Before calculators were invented, the Chinese people used _ to count.Chinese people used _ to count.7. Weather reports are not always _.7. Weather reports are not a

14、lways _.8.8.Edison _the light bulb after he had Edison _the light bulb after he had failed many times.failed many times.9.9.If you _8 from 16, you get 8.If you _8 from 16, you get 8.10.10. Our country is more _than before. Our country is more _than before.11.11.If you _ 28 by 7, the answer is 4.If y

15、ou _ 28 by 7, the answer is 4.12.12. The committee _of ten members. The committee _of ten members.abacusaccurateinventedsubtractpowerfuldivideconsistsC1 Find these words in the article on page 73. Read the words around them and choose the best meanings. 1 ancient: many many years ago2 consists of: i

16、ncludes3 invented: made for the first time4 accurate: without mistakes5 percentages: amounts out of a hundred C2 Find the words in Column A in the diary on page C2 Find the words in Column A in the diary on page 62 and match them with the meanings in Column 62 and match them with the meanings in Col

17、umn B.B. A 1 international 2 system3 developed4 calculate5 bottom6 powerful Ba grew bigger or strongerb a group of things working togetherc count with numbersd stronge used by more than one country or nationf in the lowest placeC3 What do the following descriptions refer to? Write down the correct n

18、ames in the blanks.1 A calculating machine that uses wires and 1 A calculating machine that uses wires and heads.heads. An _An _2 A small machine that does calculations.2 A small machine that does calculations. A _A _3 A very powerful machine for doing 3 A very powerful machine for doing calculation

19、s.calculations. A_A_ abacuscalculatorcomputerCALCULATING MACHINECALCULATING MACHINE one of the first calculating machines accurate and fast representbeadswires CALCULATING MACHINEaddsubtractmultiply divide percentagesquare rootCALCULATING MACHINEaddsubtractmultiplydividepercentagessquare rootsCALCUL

20、ATING MACHINEA _ is a very _ calculating machine. _, it can do a calculation that you could not do _.a computer computer powerful in a flash in your whole lifetime powerful In a flash in your whole lifetime Numbers: everyones languageAncient numbersAncient numbers In ancient times, people wrote numb

21、ers in many different ways. However, they nearly all counted in tens.different ways of writing the number 6（在古代）（在古代）（以很多不同的方式）（以很多不同的方式）（以十為單位）（以十為單位）Numbers: everyones languageZero(0)Zero(0) The system of numbers today consists of the numbers from 1 to 9 and 0(zero). The Indians first invented and

22、 developed the 1 to 9 system of numbers. They then invented the zero. The invention of the zero helped people write big numbers and calculate more easily. Now use each of these ten numbers once to write the biggest number.What is it?（數(shù)字體系）（數(shù)字體系）（由（由組成）組成）（印度人）（印度人）（發(fā)展）（發(fā)展）（invent. v. invention n. in

23、ventor n.）9876543210Numbers: everyones languageCalculating machines (Calculating machines (計(jì)計(jì)算工具）算工具） one of the first calculating machines was an abacus. Abacuses are fast and accurate. On the abacus, the beads on the wires stand for ones, tens, hundreds and thousands, starting from the bottom wire

24、.（珠子（珠子 ）（代表（代表stand for ）（底部的橫桿）（底部的橫桿）The abacus in the picture shows a number. Write it down in figures and then in words. Multiply it by zero and then add 1. What is the answer?（用數(shù)字）（用數(shù)字）（用文字）（用文字）Numbers: everyones language Modern electronic calculators can add, subtract, multiply and divide. I

25、t can also calculate percentages and square roots.（平方根）（平方根）Numbers: everyones language Computers are very powerful calculating machines. A computer can do a calculation in a flash, but you might not be able to do it in your whole lifetime.（強(qiáng)大的）（強(qiáng)大的）（做計(jì)算）（做計(jì)算）（一瞬間）（一瞬間）（能夠做）（能夠做）（一輩子）（一輩子）May is ask

26、ing T M Li, the writer, some questions about his article on numbers. His answers are not always clear. Read the article and make Lis answers clearer. Write one word in each blank. 1 Every one knows it. Knows what? The Language of numbers. 2 Long ago, people wrote them in many different ways. Wrote w

27、hat? Numbers.3. People all count in this way. In what way? In tens.4. The Indians first invented that system of numbers. Which system of numbers? 1 to 9.5. The invention helped people write in big numbers. What invention? Zero.6. They are fast and accurate. What? Abacuses.7Computers are very powerfu

28、l ones. Very powerful what? Calculating machines.Give answers to these questions about the article.1 How did people in ancient times count in the same way? They nearly all _.2 What do the beads on the wires of an abacus stand for? The beads stand for _ starting from the bottom wire.3 What can a mode

29、rn electronic calculator do? It can _.counted in tensones, tens, hundreds and thousandsadd, subtract, multiply and divide.Give answers to these questions about the article.4 What else can a modern electronic calculator do ? I can also _.5 How quickly can a computer do a calculation? I can do a calcu

30、lation _. calculate percentages and square rootsin a flash1 1以不同的方式以不同的方式2 2數(shù)字體系數(shù)字體系3 3由由組成組成4 4電子計(jì)算器電子計(jì)算器5 5平方根平方根6 6一瞬間一瞬間7 7以十為單位計(jì)算以十為單位計(jì)算代表代表9 9 做運(yùn)算做運(yùn)算10 10 在古代在古代1 in different ways1 in different ways2 the system of numbers2 the system of numbers3 consist of= be made up of3 consist of= be made

31、up of4 electronic calculators4 electronic calculators5 square roots5 square roots6 in a flash6 in a flash7 count in tens7 count in tens8 stand for8 stand for9 do a calculation9 do a calculation10 in ancient times10 in ancient timesSynopsis by paragraph:P1:P1:Ancient numbers Ancient numbers In ancien

32、t times, numbers In ancient times, numbers were written in different ways, were written in different ways, but counting was nearly but counting was nearly always in tens.always in tens.Synopsis by paragraph:P2:P2:Zero- Everyone uses the Zero- Everyone uses the number system 1 to 9 number system 1 to

33、 9 plus 0. The system was plus 0. The system was invented by the Indians. invented by the Indians. Zero makes it easier to Zero makes it easier to write big numbers and to write big numbers and to calculate.calculate.Synopsis by paragraph:P3-5:P3-5:Calculating machines Calculating machines Descripti

34、ons of three Descriptions of three calculating machines:calculating machines: the ancient abacus,the the ancient abacus,the modern electronic calculator modern electronic calculator and the computer.and the computer. Now try a quiz about numbers. Listen to the instructions on the recording, and circ

35、le the right answer.1 1 80 80 49 49 17172 2 2.66 2.66 26% 26% 2/62/63 3 $75 $75 75% 75% 7575o o4 4 1/8 1/8 0.75 0.75 33335 5 56 56 65 65 66666 6 9090o o 90% 90% 1/9 1/97 2565 3881 7 2565 3881 2566 28812566 2881 2565 2881 2565 28818 1.8% 8 1.8% 80%80% 18% 18%9 $ 5,000 9 $ 5,000 $ 50, 000$ 50, 000 $ 5

36、0,000,000 $ 50,000,00010 30.510 30.5o o 13.513.5o o 35 35o o 1 Which one of these is an even number?2 Which one of these is a fraction?3 Which one of these is a percentage?4 Which one of these is a decimal number?5 Which one of these is an odd number?6 Which one of these is a number showing degrees?

37、7 My phone number is 2565 2881.8 18 per cent of my classmates come to school on foot.9 This ring costs fifty thousand dollars.10 The highest temperature today was 30 point 5 degrees.A Imperative sentencesWhen we give orders or instructions to people, we tell them to do or not to do something.We usua

38、lly start the sentences with a verb.We often make instructions more polite by starting with please.Sometimes we start with the name of the person receiving the instruction.Read the instructions belowBe quiet.Please have a seat.David, pay attention.Dont be afraid.Please do not make a noise.Alan, dont

39、 be late.Read the dialogues and complete them with imperatives and the correct form of the verbs in brackets.1 Its her birthday next week. Then _ her about the surprise party.2 How can I get to Peoples Hospital? _ along the street and _left at the lights.3 We have to finish the work in two hours. Th

40、en lets _ any time.4 _ so much noise, please. OK.5 _ out! Theres a car coming. Thanks.dont tellGoturnnot wasteDont makeLookAdd 3 and 9.Subtract 3 from 9.Multiply 3 by 9.Divide 9 by 3.B Instructions and statements about numbersTable I3 plus 9 equals/ is 12.9 minus 3 equals/ is 6.3 multiplied by 9 equ

41、als/is 27.9 divided by 3 equals/ is 3.B Instructions and statements about numbersTable II Work in pairs to work out the problems. Work in pairs to work out the problems. S1 tells S2 to do the following sums. S1 tells S2 to do the following sums. S2 listens and replies. Then check S2 listens and repl

42、ies. Then check your answers together.your answers together.1 1 AddAdd 11 11 and and 1.1.2 2 SubtractSubtract 5 5 from from 13.13.3 3 MultiplyMultiply 7 7 byby 8. 8.4 4 Divide Divide 1616 by by 4. 4.5 5 Add Add 9 9 andand 6. 6.6 6 Add Add 14 and 4 and 14 and 4 and dividedivide the the answer by 2. a

43、nswer by 2.7 7 SubtractSubtract 9 from 19 and 9 from 19 and multiplymultiply the answer by 3. the answer by 3.S11 1 11 plus 1 equals 12.11 plus 1 equals 12.2 2 13 minus 5 equals 8.13 minus 5 equals 8.3 3 7 multiplied7 multiplied by by 8 equals 56.8 equals 56.4 4 16 divided16 divided by by 4 equals 4

44、4 equals 4. .5 5 9 plus 6 equals 15.9 plus 6 equals 15.6 6 14 plus 4 divided14 plus 4 divided by by 2 equals 92 equals 9. .7 7 19 minus 9 multiplied19 minus 9 multiplied by by 3 equals 303 equals 30. .S21 Think of a number, but dont tell me what it is.2 Add 1.3 Multiply the answer by 2.4 Now add 3.5

45、 Now multiply by 2 again.6 Now subtract 10.7 Now tell me the answer.C cardinal and ordinal numbers Say these cardinal numbers. 1 1 3 13 30 323 13 30 32 5 15 50 54 5 15 50 54 6 16 60 67 6 16 60 67 9 19 90 98 9 19 90 982 100 200 210 3752 100 200 210 375 1,000 4,189 1,000 4,189 15, 362 15, 362 100,000

46、100,000 C cardinal and ordinal numbers3 3 284,653284,653 two hundred and eighty-four thousand six hundred and two hundred and eighty-four thousand six hundred and fifty-threefifty-three 1,000,0001,000,000 one million one million 1,367,982 1,367,982 one million three hundred and sixty-seven thousand

47、nine one million three hundred and sixty-seven thousand nine hundred and eighty-twohundred and eighty-two C cardinal and ordinal numbers Say these sentences with ordinal numbers.Position in class Position in class May: 1 May: 1 May is first.May is first. Alan: 2Alan: 2Danny: 3Danny: 3June: 4June: 4P

48、eter: 12Peter: 12Alice: 19Alice: 19Steve: 28Steve: 28C cardinal and ordinal numbers Say these decimals.3 : .3 : point threepoint three0.30.3zero point threezero point three.368.368point three six eightpoint three six eight7.1457.145seven point one four fiveseven point one four five36.3636.36thirty-s

49、ix point three sixthirty-six point three sixA Talk time A1 Read these telephone numbers.2921 51432921 51432565 13512565 13512471 01222471 01222389 41672389 41672010 51002010 51002724 55662724 55662978 11212978 11212356 43992356 4399 When we say telephone When we say telephone or ID card numbers, or

50、ID card numbers, we say each number we say each number separately. For separately. For 0 0 we we say say zerozero or or ohoh. When . When two of the same two of the same number are together, number are together, we can say we can say doubledouble before the number.before the number.B Speak upYour sc

51、hool received a gift or 35,000 yuan from Mr. Tang, an old student of the school.His instructions are: the school must use the money to buy the school must use the money to buy three different things;three different things;a group of students must decide what a group of students must decide what thre

52、e things to buy.three things to buy.B1 Work in groups of four and:1 decide the three things to buy with the money and check the price of each thing.2 Calculate the total price of the three things and work out the amount of money left.3 write an announcement of your decision to the class, using the words below to help you.B1 Work in groups of four Traffic accidents May asked Officer Chen about traffic accidents. Then she drew a line graph. Read the conversation and write the figures on the graph.3,7293,6443,7483,639