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Form 1 Mathematics Chapter 2 and Chapter 4
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“>”: is greater than -2 -6 47 0 +– 7 -2 4 0 > say “seven is greater than minus two” > say “four is greater than zero”
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“<”: is less than -2 -6 47 0 +– -6 4 -2 0 < say “minus six is less than four” < say “minus two is less than zero”
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Ronald HUI If we say number of students in Form 1 is greater than 150, we can write the following inequality: Let x be the number of students in Form 1. Then, x > 150 Do we know the exact number of students? It can be 151, 152, 153, 160, 170, 200, 300!
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Ronald HUI The amount of money Mr. Hui has is less than $500. What is the inequality? Let R be the amount of money Mr. Hui has Then, R < 500 Do we know how much Mr. Hui has now? It can be $499.90, $300, $10, $0!
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Ronald HUI “ ”: Greater than or equal to ◦ A combination of “>” and “=” “ ”: Less than or equal to ◦ A combination of “<“ and “=”
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Ronald HUI Some important concepts Is it true that “Not less than” means “Greater than”? ( 「不少於」是否等同「多過」呢? ) How about “Not Greater than” means “Less than”? ( 「不多於」是否等同「少過」呢? )
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Page 165 of Textbook 1A ◦ Questions 1 - 8 Page 77 of WB 1A ◦ Questions 1 - 4
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Ronald HUI The use of variables to write a sentence telling us instruction to do a calculation is a Formula. E.g. The area of a rectangle ( 長方形 ) is its length ( 長 ) times its breadth ( 闊 ). If Area is A, length is L and breadth is B, Then, A = L B (or simply A = LB)
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Ronald HUI A = L B A is the subject of the formula L and B are the variables of the formula If L = 5 cm, B = 3 cm, we have A = L B = (5 cm) (3 cm) = 15 cm 2 It is called method of substitution ( 代入法 ).
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Ronald HUI Can you suggest a formula for the followings? Area of a square ( 正方形 ) Area of a triangle ( 三角形 ) Area of a trapezium ( 梯形 ) Perimeter ( 周界 ) of a rectangle Perimeter ( 周界 ) of a circle Area of a circle
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Page 169 of Textbook 1A ◦ Questions 5 - 14 Page 80 of WB 1A ◦ Questions 1 - 5
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SHW (I), SHW (II) (Chapter 4) ◦ 12 Nov (Monday) Open Book Quiz (Chapter 4) ◦ 14 Nov (Wednesday) Close Book Quiz (Chapter 4) ◦ 21 Nov (Wednesday) You must hand in on time!
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Good Luck! Enjoy the world of Mathematics! Ronald HUI
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