Math 162 Presentation I AT L E T

Math 162 Presentation I AT L E T ey ick g M un an z Y Yu Ts AI NIP M S AB 7 E A X R A IT LU O M H P M L E E T S IC O F ( + B N , E. R VS E M , × U , - M R ÷ ) A N IP U L A T D IN IO N A E V IL Y L IF E B Y E L E M E N T A R Y

THIS PRESENTATION We are going to cover the following: Example 1: The Math 162 grading scheme Example 2: The First Class Honor Example 3: HKUST’s world ranking Example 4: Toy Story 3’s box office in Hong Kong Example 5: The 2010 Hong Kong by-election Example 6: Minimum wage in Hong Kong Example 7: The United States presidential election of 2000 Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)

1173 HOURS AGO… Professor Li invited us to think about this comment: § “In daily life, we only need to use the four basic arithmetic operations - addition, subtraction, multiplication, division. So, these are all we need for mathematical training. ” What can (+, -, ×, ÷) do? When Truth Lies Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)

EXAMPLE 1: MATH 162 GRADES The grading is based on the presentation 1 performance. 13 of 21 students are listed below. The score of the Samson/Suen. Wai group is fictional. Name Samson Suen. Wai Alan Justina Gloria Mickey Yung Kary Loretta Vivian Leo Kelvin Roy Score 10 10 8. 88 8. 5 7. 91 7. 82 Normal A+ A+ A- A- A- B+ B+ B B- B- B- Math 162 A+ A+ B+ B B C+ C+ C+ Normal is what most other courses do: 18% A range; 36% B range; 42% C range; 4% D and F Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)

EXAMPLE 1: MATH 162 GRADES The unit of the y axis matters. Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)

EXAMPLE 2: HOW MANY FIRST CLASS STUDENTS? Just like the birthday paradox. Since we have 18% of students getting A’s in every course, some might intuitively think we have 18% of students getting First Class each year. Grade A+ A A- B+ B B- C+ C C- D F Score 12 11 10 9 8 7 6 5 4 2 0 Percent 6 6 6 12 12 12 14 14 14 4 Rule: Those with CGA no less than 9. 5 get First Class Assumption: Every course has the same credit Taking one course: 6 + 6 = 18% Taking two courses: A+, and at least B-; A, and at least B; A-, and at least B+. Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)

EXAMPLE 3: HKUST RANKS 41 ST IN THE WORLD And how it does not matter to you. 19. 5 + 5. 25 + 4. 5 + 0. 75 + 32. 5 + 6 + 2. 25 = At least 73. 25% irrelevancy Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)

EXAMPLE 4: TOY STORY 3 IS HUGE IN HONG KONG… Top 10 films with the biggest box office in Hong Kong: Rank Title Year Box Office (HKD) 1 James Cameron’s Avatar 2009 $176, 984, 565 2 James Cameron’s Titanic 1997 $104, 615, 934 3 Pixar’s Toy Story 3 2010 $89. 36 Million 4 周星馳《功夫》 2004 $61, 278, 697 5 周星馳《少林足球》 2001 $60, 739, 847 6 Steven Spielberg’s Jurassic Park 2 1997 $58, 505, 480 7 Christopher Nolan’s The Dark Knight 2008 $58, 440, 488 8 Christopher Nolan’s Inception 2010 $58. 38 Million 9 Steven Spielberg’s Jurassic Park 1993 $58, 360, 645 10 唐季禮《警察故事4之簡單任務》 1996 $57, 518, 795 Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)

EXAMPLE 4: TOY STORY 3 IS HUGE IN HONG KONG… First revelation Average ticket price for normal films: 60 HKD Average ticket price for Inception (surchage for the long length and some IMAX): 70 HKD Average ticket price for Toy Story 3 (surchage for the 3 D and some IMAX format): 90 HKD How many people went to see Inception? And TS 3? 58, 380 / 70 = 834, 000; 89, 360 / 90 = 992, 000. Second revelation Inception: 142 minutes; TS 3: 103 minutes. How long did Hong Kong people spend on watching Inception totally? And TS 3? 834, 000*142 = 118 million minutes on watching Inception; 992, 000*103 = 102 million minutes on watching TS 3. Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)

EXAMPLE 5: IS 17. 1% THAT LARGE/SMALL A NUMBER? It’s 17. 1%, while it was 45. 2% in 2008. But… 香港島 陳淑莊 九龍西 黃毓民 九龍東 梁家傑 新界西 陳偉業 新界東 梁國雄 全港 2008 Election 82, 600 37, 553 39, 274 32, 182 44, 763 236, 372 2010 By. Election 103, 564 60, 395 82, 066 109, 609 108, 927 464, 561 100% increase of supporters. Not to mention the 36, 226 votes won by ”大專2012”. But, the Pro-Democracy Camp won 869, 465 votes in 2008 Still 869, 465 - 464, 561 - 36, 226 = 368, 678 potential supporters not convinced. Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)

EXAMPLE 6: THE MINIMUM WAGE $18 - $18 X 8 X 26=$3744 $28? Why? - $28 X 8 X 26=$5824 -cut working hours -change back the situation -case 1 $28 X 7 X 26=$5096 Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)

EXAMPLE 7: GEORGE BUSH VS. AL GORE Gore 51 Million vs. Bush 50. 5 Million, Bush won! ---Indirect Election The Electoral College 538 electors Won by absolute majority - 270 Electors of each state = no. of Senators + no. of Congressmen ---Separation of Powers The President (1) The Congress Senate (2 seats per state, 100 total) House of Representatives (by population) The Supreme Court (9) --50 states, and D. C. (the capital) Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)

EXAMPLE 7: GEORGE BUSH VS. AL GORE Total congressmen of the nation: 435; Total senators: 100; D. C. : 3 48 states + DC: winner-take-all; Maine and Nebraska: exceptions Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)

HOMEWORK 1. Recall the numbers in the 7 th example, the total number of electors voted for Bush is 271, Gore 266, accounting for totally 537. There are, however, as we calculated, 538 electors around the nation. Please do some research, and find out what’s wrong here? 2. We are going to establish a House of Representative in China, using Hong Kong’s population as the base. So, Hong Kong has ONE congressman. How many congressmen do Guangdong, Shanghai, Sichuan, Macau and Tibet have, respectively? Reference: http: //zh. wikipedia. org/wiki/%E 4%B 8%AD%E 5%8 D%8 E%E 4%BA%BA%E 6%B 0%91%E 5%85%B 1 %E 5%92%8 C%E 5%9 B%BD%E 8%A 1%8 C%E 6%94%BF%E 5%8 C%BA%E 4%BA%BA%E 5%8 F%A 3% E 8%A 1%A 8 3. Extra: Calculate the percentage of students getting First Class Honor if they take totally 2 courses in UST. Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)

EXTRA QUESTION: CAN YOU HELP US FIND X? x 555 444 Thank you. Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)