absolute vs. relative
DESCRIPTION
Math162 Presentation. ABSOLUTE VS. RELATIVE. 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷). MAI Yuan Mickey NIP Tsz Yung. This Presentation. We are going to cover the following: Example 1: The Math162 grading scheme Example 2: The First Class Honor - PowerPoint PPT PresentationTRANSCRIPT
ABSOLUTE VS. RELATIV
E
7 Examples of N
umber Manipulation in
Daily Life by Elementary Arith
metic (+, -,
×, ÷)
Math162 Presentation
MAI Yuan M
ickey
NIP Tsz Yung
This Presentation
We are going to cover the following:
Example 1: The Math162 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: Math162 grades
The grading is based on the presentation 1 performance.
13 of 21 students are listed below.
The score of the Samson/SuenWai group is fictional.
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 (+, -, ×, ÷)
Name Samson
SuenWai
Alan Justina
Gloria Mickey
Yung Kary Loretta
Vivian Leo Kelvin Roy
Score 10 10 8.88 8.88 8.88 8.5 8.5 7.91 7.91 7.91 7.82 7.82 7.82
Math162
A+ A+ B+ B+ B+ B B C+ C+ C+ C+ C+ C+
Normal A+ A+ A- A- A- B+ B+ B B B B- B- B-
Example 1: Math162 grades
Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)
The unit of the y axis matters.
Example 2: How many First Class students?
Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)
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
Example 3: HKUST ranks 41st in the world
And how it does not matter to you.
19.5 + 5.25 + 4.5 + 0.75 +
32.5 + 2.5 +
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:
Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)
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
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 3D and some IMAX format): 90 HKD
How many people went to see Inception? And TS3?
58,380 / 70 = 834,000; 89,360 / 90 = 992,000.
Second revelation
Inception: 142 minutes; TS3: 103 minutes.
How long did Hong Kong people spend on watching Inception totally? And TS3?
834,000*142 = 118 million minutes on watching Inception;
992,000*103 = 102 million minutes on watching TS3.
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…
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 (+, -, ×, ÷)
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
Example 6: The Minimum Wage
Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)
$18 - $18X8X26=$3744
$28? Why? - $28X8X26=$5824
-cut working hours
-change back the situation
-case 1
$28X7X26=$5096
Example 7: George Bush vs. Al Gore
Gore 51 Million vs. Bush 50.5 Million, Bush won!----Indirect ElectionThe Electoral College538 electorsWon by absolute majority - 270Electors 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 GoreTotal congressmen of the nation: 435; Total senators: 100; D.C.: 348 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 7th 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/%E4%B8%AD%E5%8D%8E%E4%BA%BA%E6%B0%91%E5%85%B1%E5%92%8C%E5%9B%BD%E8%A1%8C%E6%94%BF%E5%8C%BA%E4%BA%BA%E5%8F%A3%E8%A1%A8
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?
Mickey & Yung, Absolute vs. Relative: 7 Examples of Number Manipulation in Daily Life by Elementary Arithmetic (+, -, ×, ÷)
555
444
x
Thank you.