Unit 6 China's World Heritage Site - Four Points of Mixed Operation 六 中国的世界遗产——分数四则混合运算
Lesson 1 The Temple of Heaven Park in Beijing covers an area of 272 hectares. 北京天坛公园占地面积约272公顷。 The Forbidden City in Beijing covers an area of four hectares more than a quarter of the Temple of Heaven Park. 北京故宫的占地面积比天坛公园的1/4多4公顷。 The total length of the Great Wall is about 8800 kilometers, of which the artificial wall accounts for about 7/10 of the total length, the natural mountain danger wall accounts for about 1/4, and the rest are ditches. 长城全长约8800千米，其中人工墙体约占全长的7/10，天然山险墙约占1/4，其他的是壕堑。 What questions can you ask? 你能提出什么问题？ Cooperative exploration 合作探索 What is the area of the Palace Museum in Beijing? 1. 北京故宫的占地面积是多少公顷？ The area of the Imperial Palace = 1/4 of the area of the Temple of Heaven Park +4 hectares. 故宫的占地面积＝天坛公园面积的1/4＋4公顷 The Palace Museum in Beijing covers an area of 72 hectares. 北京故宫的占地面积是72公顷。 How many kilometers is the total length of artificial wall and mountain danger wall in the Great Wall? 2. 长城中人工墙体和山险墙共长多少千米？ First calculate the number of kilometers of artificial wall and mountain danger wall, then calculate...... 先算人工墙体和山险墙各长多少千米，再算…… Eight thousand and eight hundred times seven tenth plus eight thousand and eight hundred plus one fourth 8800×7/10＋8800＋1/4 Calculate first artificial wall and mountain danger wall total length of the Great Wall a few percentage, then calculate...... 先算人工墙体和山险墙共占长城全长的几分之几，再算…… Eight thousand and eight hundred times( seven tenth plus one fourth) 8800×(7/10＋1/4) Think about it. Does the law of certificates apply to fractions? 想一想，证书的运算律适用于分数吗？
Lesson 2 The Terracotta Warriors and Horses of the Qin Dynasty are known as "the eighth wonder of the world". The first three terracotta pits are shown below: 秦兵马俑被称为“世界第八大奇迹”。最早发现的三个兵马俑坑如下图： The total area of the three pits is about 20,000 square meters, of which pit 1 and pit 3 account for 7/10. 三个坑总占地面积约20000平方米，其中1号坑和3号坑共占7/10。 What questions can you ask? 你能提出什么问题？ Cooperative exploration 合作探索 1. How many square meters does Pit No. 2 cover? 1. 2号坑的占地面积是多少平方米？ Area of pit 2 = total area - the sum of area of pit 1 and pit 3 2号坑的面积＝总面积－1号坑和3号坑的面积和 Consider the total area of the three pits as unit "1". The area of pit two is 1 minus 7/10. 把三个坑总占地面积看作单位“1”。2号坑的面积就是(1－7/10) Area of Pit 2 = Total Area ×(1-7/10) 2号坑的面积＝总面积×(1－7/10) Answer: No. 2 pit covers an area of 6,000 square meters. 答：2号坑的占地面积是6000平方米。
Lesson 3 ◆ The average height of adult women of "Peking Man" is only 144 centimeters, and the average height of modern adult women is 1/8 higher than that of adult women of "Peking Man". ◆“北京人”成年女子平均身高只有144厘米，现代成年女子平均身高比“北京人”成年女子高1/8。 ◆ The brain capacity of "Peking Man" is 2/7 less than that of modern people, whose average brain capacity is 1400 milliliters. ◆“北京人”的脑容量比现代人的脑容量少2/7，现代人平均脑容量是1400毫升。 What questions can you ask? 你能提出什么问题？ Cooperative exploration 合作探索 1. What is the average height of a modern adult woman in centimeters? 1. 现代成年女子平均身高是多少厘米？ How many centimeters is the average modern adult woman taller than a "Peking Man"? Then... 先求现代成年女子平均身高比“北京人”高多少厘米，再求…… One thousand four hundred and forty four plus one hundred and forty four times one eighth 1444＋144×1/8 First, what fraction of the average height of a modern adult woman is that of a "Peking Man" , then... 先求现代成年女子平均身高是“北京人”的几分之几，再求…… One hundred and forty four times ( one plus one eighth) 144×(1＋1/8) Answer: The average modern adult woman is 162 centimeters tall. 答：现代成年女子平均身高是162厘米。 2. What is the average brain volume of a"Peking Man" in milliliters? 2. “北京人”平均脑容量是多少毫升？ What fraction of the average brain capacity of a "Peking Man" is that of a modern man? 先求“北京人”的平均脑容量是现代人的几分之几，再求…… One thousand and four hundred times( one minus two sevenths) 1400×(1－2/7) Answer: The average brain volume of a "Beijinger" is 1,000 milliliters. 答： “北京人”平均脑容量是1000毫升。
Lesson 4 The Summer Palace in Beijing consists of Kunming Lake and Longevity Hill. Kunming Lake covers an area of 219 hectares, and Longevity Hill covers only a quarter of the area of the Summer Palace. 北京颐和园有昆明湖和万寿山组成。其中昆明湖占地219公顷，万寿山占地面积仅是颐和园的1/4。 The Potala Palace in Tibet is on a grand scale. It is 360 meters long from east to west, one fifth longer than that from north to south. 西藏的布达拉宫规模宏大，它东西长360米，比南北长1/5。 Dunhuang Mogao Grottoes is a world-famous grottoes. The grottoes are 30 meters larger and 1/4 less wide than high. 敦煌莫高窟是世界著名的石窟，做大石窟宽慰30米，宽比高少1/4。 What questions can you ask? 你能提出什么问题？ Coperative exploration 合作探索 1. How many hectares does the Summer Palace cover? 1. 颐和园的占地面积是多少公顷？ Answer: The Summer Palace covers an area of 292 hectares. 答：颐和园的占地面积是292公顷。 2. How long is the Potala Palace from north to south? 2.布达拉宫南北长多少米？ Answer: The Potala Palace is 300 meters long from north to south. 答：布达拉宫南北长300米。 3. How many meters is the height of the largest grotto in Dunhuang Mogao Grottoes? 3. 敦煌莫高窟最大石窟的高慰多少米？ Answer: The largest grotto in Dunhuang Mogao Grottoes is 40 meters high. 答：敦煌莫高窟最大石窟的高为40米。 Wisdom square 智慧广场 One type of chocolate comes in two different packages, four and six. Auntie Wang wants to buy 50 bars of chocolate. How many different ways can she buy them? 一种巧克力有4块装和6块装两种不同的包装。王阿姨要买50块巧克力，一共有多少种不同的买法？ Let me draw that. You can buy 5 packs of 4 and 5 packs of 6. 我画一画。4块装和6块装的可以各买5包。 I think like this. I'll buy seven packs of six and two packs of four. 我这样想。6块装的买7包，4块装的买2包。 I think like this. I'll buy three packs of six and eight packs of four. 我这样想。6块装的买3包，4块装的买8包。 Let me give you an example. If you buy 3 packs of four, then buy 6 packs of six, but it＇s still 2 short. 我举例算算看。如果4块装的买3包，那么6块装的能买6包，但还差2块。 If you buy 4 packs of 4 ... 如果4块装的买4包…… Can you list them in a certain order? 能不能按一定的顺序列举？ Ever since I bought 0 pack of 6.. 从买0包6块装的想起…… Buy 0 pack of 6, 50 short, then buy 12 packs of 4, 2 short. 买0包6块装，还差50块，再买12包4块装的，还差2块。 If I buy one package of 6, 44 short. If I buy 11 packs of 4,exactly 50. 买1包6块装，还差44块，再买11包4块装的，正好50块。 If I buy two packages of six, I still need 38. If I buy nine packages of four, I still need 2. 买2包6块装，还差38块，再买9包4块装的，还差2块。 If I buy three packages of six, I still need thirty-two. If I buy eight packages of four, just fifty. 买3包6块装，还差32块，再买8包4块装的，正好50块。 I use form to record 我用表格记录。
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