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Form 1 Mathematics Chapter 2 and Chapter 4
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Ronald HUI “>”: Greater than “<”: Less than “ ”: Greater than or equal to (or Not less than) ◦ A combination of “>” and “=” “ ”: Less than or equal to (or Not greater than) ◦ A combination of “<“ and “=”
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Ronald HUI P.166 Question 9: Add 5 to 4 times of a number p and the sum is greater than 33. Add 5 “+5” 4 times of a number p “4p” The sum “4p+5” Then, the inequality is “4p+5 > 33”
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Ronald HUI P.166 Question 11: When the sum of a number s and 3 is multiplied by 2, the product is smaller than -10. The sum of s and 3 “s+3” Multiplied by 2 “ 2” The product “(s+3) 2” or 2(s+3) The inequality is “2(s+3) < -10” Write 3 numbers by guessing!
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Ronald HUI P.166 Question 13a: Mike has 2 packs of $1.9 stamps, 1 pack of $2.4 stamps and y packs of $1.4 stamps. Each pack contains 10 pieces of stamps. Write an inequality… 2 packs of $1.9 2 $1.9 10 = $38 1 pack of $2.4 1 $2.4 10 = $24 y packs of $1.4 y $1.4 10 = $14y Total value $38+$24+$14y The inequality is $38+$24+$14y <$100 or 14y+62 < 100
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Ronald HUI P.166 Question 13b: Find the value of y if the total value of the stamps that Mike has is $76. Total value $38+$24+$14y The equation is $38+$24+$14y = $76 or 14y+62 = 76 14y = 14 y = 1 Therefore, y = 1. or “Mike has one pack of $1.4 stamps.”
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Ronald HUI Some special terms: One half = 二分之一 One third = 三分之一 One quarter / One fourth = 四分之一 One fifth = 五分之一 First, Second, Third, Fourth, Fifth, Sixth, Seventh, Eighth, Ninth, Tenth, Eleventh, Twelfth, Thirteenth, Fourteenth, …
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Page 165 of Textbook 1A ◦ Questions 1 - 8 Page 77 of WB 1A Homework ◦ Questions 1 - 4
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Ronald HUI A formula is an equation with ◦ At least 1 variables on the right of equal sign. ◦ Only 1 variable (Subject) on the left of equal sign. e.g. A = (U + L) H 2 ◦ A is the subject of the formula ◦ U, L and H are the variables of the formula Do you know what this formula means?
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Ronald HUI P.169 Question 18: v = u + gt (u = -8, g = 10, t = 3, v = ?) v = u + gt = (-8) + (10) (3) Method of substitution = -8 + 30 = 22
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Ronald HUI P.169 Question 20: In the formula S=88+0.5t, if S=120, find the value of t. S = 88 + 0.5t (120) = 88 + 0.5t 120 - 88 = 0.5t 32 = 0.5t 32 2 = t 64 = t t = 64
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Ronald HUI P.169 Question 22a: It is given that V=Ah 3. If V = 40 and h = 6, find the value of A. V = Ah 3 (40) = A (6) 3 40 3 = 6A 120 = 6A 120 6 = A 20 = A A = 20
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Ronald HUI P.169 Question 22b: It is given that V=Ah 3. Find the value of h such that A = 5 and the value of V is half of that given in (a) In (a), V = 40. So, in (b), V = 20. V = Ah 3 (20) = (5) h 3 20 3 = 5h 60 = 5h 60 5 = h h = 12
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Page 169 of Textbook 1A ◦ Questions 5 - 14 Pages 80-81 of WB 1A Homework ◦ Questions 1 - 5
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Ronald HUI Consider a sequence: 2, 4, 6, 8, 10, … Can you guess what are the next numbers? What is the 10 th term? What is the 100 th term? What is the n th term? 1, 2, 3, 4, 5, …, 10, …, 100, …, n ( 第幾個 ) 2, 4, 6, 8, 10, …, 20, …, 200, …, 2n ( 答案 )
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Ronald HUI A Sequence is a group of numbers with number pattern. Each number in the sequence is called a Term. The first one in the sequence is called the First Term. In the sequence, 2, 4, 6, 8, 10, … 2 is the first term, 4 is the 2 nd term, 6 is … The general term ( 通項 ) is 2n or a n =2n
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Ronald HUI What is the NEXT TWO terms of the following sequences? 4, 8, 12, 16, 20, … 12, 24, 36, 48, 60, … -1, -2, -3, -4, -5, … 5, 6, 7, 8, 9, … 6, 8, 10, 12, 14, … -20, -10, 0, 10, 20, …
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Ronald HUI What is the GENERAL terms of the following sequences? 4, 8, 12, 16, 20, … 12, 24, 36, 48, 60, … -1, -2, -3, -4, -5, … 5, 6, 7, 8, 9, … 6, 8, 10, 12, 14, … -20, -10, 0, 10, 20, …
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Ronald HUI Given a general term: a n =2n-1 What is the first 5 terms? The first 5 terms are: ◦ a 1 = 2(1)-1 = 1 ◦ a 2 = 2(2)-1 = 3 ◦ a 3 = 2(3)-1 = 5 ◦ a 4 = 2(4)-1 = 7 ◦ a 5 = 2(5)-1 = 9 What is the 17 th term? The 17 th term is a 17 = 2(17)-1 = 33
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Pages 83 - 84 of WB 1A ◦ Questions 1 - 4 Page 175 of Textbook 1A ◦ Questions 1 - 12
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Folder ◦ 13 Nov (Tuesday) WB (P.77, 80, 81) ◦ 13 Nov (Tuesday) SHW (III) (Chapter 4) ◦ 14 Nov (Wednesday) 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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