Form 1 Mathematics Chapter 2 and Chapter 4
“>”: is greater than – > say “seven is greater than minus two” > say “four is greater than zero”
“<”: is less than – < say “minus six is less than four” < say “minus two is less than zero”
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!
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!
Ronald HUI “ ”: Greater than or equal to ◦ A combination of “>” and “=” “ ”: Less than or equal to ◦ A combination of “<“ and “=”
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? )
Page 165 of Textbook 1A ◦ Questions Page 77 of WB 1A ◦ Questions 1 - 4
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)
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 ).
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
Page 169 of Textbook 1A ◦ Questions Page 80 of WB 1A ◦ Questions 1 - 5
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!
Good Luck! Enjoy the world of Mathematics! Ronald HUI