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Form 1 Mathematics Chapter 2 and Chapter 4
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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!
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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 5 th place:LAW Cheuk Hang Ellis WONG Pui Yin, Paul 4 th place:WU SHAN Hao Yi 3 rd place:FU Ling Yin 2 nd place:LI Ming Chun Edward 1 st place:LI Sai Kong Congratulations!!!!!! Well done!!!!!!
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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?
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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!
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Ronald HUI Arithmetic Operations “+” – Addition ◦ Add… to…PlusSum “–” – Subtraction ◦ Subtract… from…MinusDifference “x” – Multiplication ◦ Multiply… by…TimesProduct “ ” – Division ◦ Divide… by…OverQuotient “=“ – Equals/ is equal to
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( + ) ( + ) = ( + )( – ) ( – ) = ( + ) ( + ) ( – ) = ( – )( – ) ( + ) = ( – ) 正正得正負負得正 正負得負負正得負
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( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) (+ 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
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( + ) ( + ) = ( + ) ( – ) ( – ) = ( + ) ( + ) ( – ) = ( – ) ( – ) ( + ) = ( – ) (+ 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
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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 = A7orA 7 = 7A ? Which is correct: B A = BAorB A = AB ? How about: 3A 4B?3A4B / 12AB / 12BA / AB12 What if-3A -4B?
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Ronald HUI Pay attention to the followings: Consider A as a variable ( 變數 ) 1 A = A A + A + A = 3A A A A = A 3 3A 4A = 12A 2
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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 + 6B 2.A -2B –3A +4B= A -3A -2B +4B = (A-3A) + (-2B+4B) = (-2A) + (2B) = -2A +2B
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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
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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
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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
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Ronald HUI Division of equality ( 等量相除 ) 5X = 20 5X 5 = 20 5 X = 4 5X = 20 X = 20 5 X = 4
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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 )
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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) = 69 x + x +1 + x + 2 = 69 x + x + x + 1 + 2 = 69 3x = 66 => x = 22. So, the numbers are 22, 23 and 24.
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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!
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Good Luck! Enjoy the world of Mathematics! Ronald HUI
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