Module 2 Amazing things.Unit 4 Numbers.课件

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名称 Module 2 Amazing things.Unit 4 Numbers.课件
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更新时间 2017-09-07 20:35:16

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课件27张PPT。Unit 4 Numbers: Everyone’s language In ancient times, people wrote numbers in many different ways, as these pictures of the number 6 show. However, they nearly all counted in the same way—in tens.Most of us use the system of numbers with numbers from 1 to 9 and 0 (zero). With these ten numbers, we can write any number from the biggest to the smallest. The Indians first invented and developed the 1 to 9 system of numbers. They then invented the zero. This was a very important invention because it made it easier to write big numbers and to calculate.One of the first calculating machines was an abacus. Abacuses are so fast and accurate that people still use them today.A modern electronic calculator can add, subtract, multiply and divide. It can also calculate percentages and square roots.
Computers are very powerful calculating machines. In a flash, a computer can do a calculation that you could not do in your whole lifetime.Some people call the brain a living computer. Is a human brain a more powerful calculator than a computer? The following story may give an answer.
Shakuntala Devi is a lady from India with an amazing brain. Shakuntala and a very powerful computer were given this problem to solve.Shakuntala’s brain took fifty seconds to find the answer, like lightning. The computer took a minute. However, someone had to first program the computer with instructions, and that took many hours. No one had to program Shakuntala!
Use your own living computer to solve the problem above. If it is not powerful enough, you will find the answer on page 67.Key Wordssamedifferentwrote in wayscounted in the wayHow did ancient people write?
How did they count?differentsameCan you explain why we count in tens?
We count in tens because we have ten fingers.Zero124583679 What do we call these numbers?The 1 to 9 system of numbers. Who first invented them? What did they invent then? Why was it a very important invention?The Indians.The zero.It made it easier to write big numbers and to calculate. calculate (V.)? find the answer by using numbersCalculating machines can help us do a lot of calculations.calculating machinesan abacusan electronic calculatora computer['k?lkjuleiti?](a.)(n.)First readingfirst calculating machines.fast and .They were one of theThey areabacuses accuratewith no mistakesPeople still use them today.They are so fast and accurate that people still use them today.Second readingin ancient timesElectronic calculators can do different calculations.subtractaddmultiplydividepercentagesquare root%Second readingin modern world/skwε?computerspowerful In a flash They are calculating machinesvery strongwith a lot of power (n.)with a lot of power (n.) , a computer can do a calculation that you could not do Very quicklyall the time you are alive.in your whole lifetime.Second readingin modern world
x23 =9167486769200391580986609275853801624
8310668014430862240712651642793465704086709659
3279205767480806790022783026354924852380335745
3169351119035965775473400756816883056208210161
29132845576805780158806771
VS against First reading Go through the text quickly and use an adjective(形容词) to describe the lady’s brain in the story.Amazing.Surprising.We are amazed.Human brainA living computerComputerWith an amazing brainA lady from Indiapowerful50 secondsA competition The answer1 minutetake many hours to program themSecond readingWho is more powerful?mind-maptake many hours to give them instuctionslike lightningAncient numbers — In ancient times, people wrote numbers in ________,but counted them _________—in tens.
Zero — The ______ invented the 1 to 9 system of numbers and zero. Therefore, we can write any number from the biggest to the smallest. It made it _______ to write big numbers and to __________.
Calculating machines — The three calculating machines: the ___________, the ___________ and the ___________ make our life ______________.
Brain against computer — There was once a competition between _____________ and ____________ in which ______________ won. Computers cannot do calculations by themselves. ___________ must _________ them first.Complete the summary.12483679With the development of science and
technology,the computers are becoming
more and more powerful. Do you think they
will replace human brains in the future? Why? Group workHuman brains are creative(有创新性的) and imaginative (有想象力的).
Computers are of high-speed and never tired.
There will be no computers without human brains.
Human brains will work more efficiently(高效地) with the help of computers.
Both of them are very powerful.Here is an interesting and lovely way to look at the beauty of numbers.The Beauty of numbersHere is an interesting and lovely way to look at the beauty of numbers.The Beauty of numbers 1 x 9 + 2 = 11 12 x 9 + 3 = 111 123 x 9 + 4 = 1111 1234 x 9 + 5 = 11111 12345 x 9 + 6 = 111111 123456 x 9 + 7 = 1111111 1234567 x 9 + 8 = 11111111 12345678 x 9 + 9 = 111111111 123456789 x 9 +10= 11111111111 x 8 + 1 = 9 12 x 8 + 2 = 98 123 x 8 + 3 = 987 1234 x 8 + 4 = 9876 12345 x 8 + 5 = 98765 123456 x 8 + 6 = 987654 1234567 x 8 + 7 = 9876543 12345678 x 8 + 8 = 98765432 123456789 x 8 + 9 = 987654321
9 x 9 + 7 = 88 98 x 9 + 6 = 888 987 x 9 + 5 = 8888 9876 x 9 + 4 = 88888 98765 x 9 + 3 = 888888 987654 x 9 + 2 = 8888888 9876543 x 9 + 1 = 88888888 98765432 x 9 + 0 = 888888888
Brilliant, isn’t it?Here’s a little mathematical formula that might help
Answer these questions:If:
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Is represented as:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26If:
H-A-R-D-W-O-R- K
8+1+18+4+23+15+18+11 = 98%
And:
K-N-O-W-L-E-D-G-E
11+14+15+23+12+5+4+7+5 = 96%But:
A-T-T-I-T-U-D-E
1+20+20+9+20+21+4+5 = 100%Therefore, one can conclude with mathematical certainty that:
While Hard Work and Knowledge will get you close, Attitude will get you there!HomeworkOral :
Read the text three times. Try to recite all the new words.
Written:
Write an article on “Numbers around us”.