form 1 mathematics chapter 2 and chapter 4. correction of open book quiz (chapter 1) ◦ today!!! ...
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![Page 1: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/1.jpg)
Form 1 MathematicsChapter 2 and Chapter 4
![Page 2: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/2.jpg)
Correction of Open Book Quiz (Chapter 1)◦ Today!!!
Correction and Parent Signature of Close Book Quiz (Chapter 1)
◦ 24 Oct (Wed) Standard Homework (I) – Orange
◦ 24 Oct (Wed) You must hand in on time!
![Page 3: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/3.jpg)
Result of Close Book Quiz◦ Full mark: 36 (not 40!) and 10 bonus◦ Highest: 44◦ Lowest: 11◦ Average: 24.7◦ Number of students below 20: 11
Major Problems◦ Careless Mistakes!◦ Wrong calculations!◦ No English answers
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Result of Close Book Quiz 5th place: LAW Cheuk Hang Ellis
WONG Pui Yin, Paul 4th place: WU SHAN Hao Yi 3rd place: FU Ling Yin 2nd place: LI Ming Chun Edward 1st place: LI Sai Kong
Congratulations!!!!!! Well done!!!!!!
![Page 5: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/5.jpg)
Restaurant problem:◦ 3 students went to a restaurant for a meal of
$250.◦ Everyone firstly paid $100. So, totally $300◦ When the waiter came back with $50, they
decided to get $30 back (everyone gets $10 back) and then left $20 for tips.
◦ So, every student paid $90 only. Now, $90 x 3 + $20 = $290! Where is the last $10?
![Page 6: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/6.jpg)
Money is there! Only the calculation is wrong! The money given by the students (-)
◦ $90 x 3 = $270 The money goes to (+)
◦ $250 (to meal) + $20 (to waiter) = $270! So, the information is correct. The only problem is we have mixed up the
calculation! If we can understand better Directed
Number, we will not have this problem!
![Page 7: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/7.jpg)
Ronald HUI
Arithmetic Operations “+” – Addition
◦ Add… to… Plus Sum “–” – Subtraction
◦ Subtract… from… Minus Difference “x” – Multiplication
◦ Multiply… by… Times Product “” – Division
◦ Divide… by… Over Quotient “=“ – Equals/ is equal to
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( + ) ( + ) = ( + ) ( – ) ( – ) = ( + )
( + ) ( – ) = ( – ) ( – ) ( + ) = ( – )
正正得正 負負得正正負得負 負正得負
![Page 9: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/9.jpg)
( + ) ( + ) = ( + )
( – ) ( – ) = ( + )
( + ) ( – ) = ( – )
( – ) ( + ) = ( – )
(+ A) + (+ B) = A + B
(+ A) + (– B) = A – B
(– A) + (+ B) = – A + B
(– A) + (– B) = – A – B
(+ A) – (+ B) = A – B
(+ A) – (– B) = A + B
(– A) – (+ B) = – A – B
(– A) – (– B) = – A + B
![Page 10: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/10.jpg)
( + ) ( + ) = ( + )
( – ) ( – ) = ( + )
( + ) ( – ) = ( – )
( – ) ( + ) = ( – )
(+ A) (+ B) = A B
(+ A) (– B) = – (A B)
(– A) (+ B) = – (A B)
(– A) (– B) = A B(+ A) (+ B) = A B
(+ A) (– B) = – (A B)
(– A) (+ B) = – (A B)
(– A) (– B) = A B
![Page 11: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/11.jpg)
Ronald HUI
Consider A as a variable ( 變數 ) We know 3A = A + A + A or 3A = 3 A So, can we write:
A 7 = A7 or A 7 = 7A ? Which is correct:
B A = BA or B A = AB ? How about:
3A 4B? 3A4B / 12AB / 12BA / AB12 What if -3A -4B?
![Page 12: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/12.jpg)
Ronald HUI
Pay attention to the followings: Consider A as a variable ( 變數 ) 1 A = A A + A + A = 3A A A A = A3
3A 4A = 12A2
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Ronald HUI
When we work on the followings, we should put together the like terms and then simplify!
For examples:1. A +2B +3A +4B = A +3A +2B +4B
= 4A + 6B2. A -2B –3A +4B = A -3A -2B +4B
= (A-3A) + (-2B+4B)= (-2A) + (2B)= -2A +2B
![Page 14: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/14.jpg)
Page 77 of Textbook 1A◦ Class Practice
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Ronald HUI
Addition of equality ( 等量相加 )X – 7 = 2
X -7 +7 = 2 +7 X = 9
X – 7 = 2 X = 2 +7 X = 9
![Page 16: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/16.jpg)
Ronald HUI
Subtraction of equality ( 等量相減 )X + 7 = 12
X +7 - 7 = 12 -7 X = 5
X + 7 = 12 X = 12 -7 X = 5
![Page 17: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/17.jpg)
Ronald HUI
Multiplication of equality ( 等量相乘 )X 5 = 4
X 5 5 = 4 5 X = 20
X 5 = 4 X = 4 5 X = 20
![Page 18: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/18.jpg)
Ronald HUI
Division of equality ( 等量相除 ) 5X = 20
5X 5 = 20 5 X = 4
5X = 20 X = 20 5 X = 4
![Page 19: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/19.jpg)
Page 91 of Textbook 1A◦ Class Practice
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Ronald HUI
Use a letter x to represent unknown number設 x 為變數 ( 即想求的答案 )
Follow the question and form an equation根據問題,製造算式
Solve for x算出 x 的值
Write answer in words (with units!)寫出答案 ( 包括單位 )
![Page 21: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/21.jpg)
Ronald HUI
If the sum of 3 consecutive ( 連續 ) numbers are 69, find these numbers.
Let x be the smallest number.Then, x+1 and x+2 are the next 2 numbers
Then, x + (x+1) + (x+2) = 69x + x +1 + x + 2 = 69x + x + x + 1 + 2 = 69
3x = 66 => x = 22.
So, the numbers are 22, 23 and 24.
![Page 22: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/22.jpg)
Page 99 of Textbook 1A◦ Questions 3 – 9
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Correction of Open Book Quiz (Chapter 1)◦ Today!!!
Correction and Parent Signature of Close Book Quiz (Chapter 1)
◦ 24 Oct (Wed) Standard Homework (I) – Orange
◦ 24 Oct (Wed) You must hand in on time!
![Page 24: Form 1 Mathematics Chapter 2 and Chapter 4. Correction of Open Book Quiz (Chapter 1) ◦ Today!!! Correction and Parent Signature of Close Book Quiz](https://reader036.vdocument.in/reader036/viewer/2022062423/56649f335503460f94c4f73d/html5/thumbnails/24.jpg)
Good Luck!
Enjoy the world of Mathematics!
Ronald HUI