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Form 1 Mathematics Chapter 2 and Chapter 4 Correction of SHW (I) – Orange ◦ ◦ ◦ ◦ ◦ Today! WB P.39-40, 42-43 Today! SHW (II) – Yellow 30 Oct (Tuesday) WB P.46-47 31 Oct (Wednesday) Open Book Quiz 31 Oct (Wednesday) You must hand in on time! Distributive Law (分配律) 5 (X+2) = 20 5 (X) + 5 (2) = 20 a(b + c) = ab + ac 5X+10 = 20 (a + b)c = ac + bc 5X = 10 X=2 Ronald HUI Distributive Law (分配律) -5 (X-2) = 20 (-5) (X) – (-5) (2) = 20 -a(b + c) = -ab - ac -5X+10 = 20 -a(b - c) = -ab + ac -5X = 10 X = -2 Ronald HUI Cross Method (交义相乘) 3x 7 4 5 5 3 x 7 4 15 x 28 28 x 15 If a c = b d Then ad = bc (but c0 and d0) Ronald HUI Page 94 of Textbook 1A ◦ Class Practice Page 94 of Textbook 1A ◦ Questions 16, 19, 22 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) Ronald HUI Page 99 Question 3: ◦ If the sum of two consecutive natural numbers is 37, find the smaller number ◦ Step 1: Let x be the smaller number. ◦ Step 2: Then, the larger number will be x + 1 So, x + (x + 1) = 37 ◦ Step 3: x + x + 1 = 37 2x = 36 x = 18 ◦ Step 4: Therefore, the smaller number is 18. ◦ Checking: 18 + 19 = 37! Ronald HUI Page 99 of Textbook 1A ◦ Questions 4 – 9 Page 99 Question 4: ◦ Add 3 to one half of a number and the sum is 9. Find that number ◦ Step 1: Let x be the that number. ◦ Step 2: Then, one half of a number will be x/2 So, x/2 + 3 = 9 ◦ Step 3: x/2 = 6 x = 12 ◦ Step 4: Therefore, the number is 12. ◦ Checking: 12/2 + 3 = 6 + 3 = 9! Ronald HUI Page 99 Question 5: ◦ The number of candies Susan has is represented by the algebraic expression 6 + 10x, where x stands for the number of boxes of candies she buys, If Susan has 36 candies after the purchases, find the number of boxes of candies she buys. ◦ Step 1: Given x is the number of boxes. ◦ Step 2: Then, 6 + 10x = 36 ◦ Step 3: 10x = 30 x=3 ◦ Step 4: Therefore, the number of boxes is 3. or Susan buys 3 boxes of candies. Ronald HUI Page 99 of Textbook 1A ◦ Questions 6 – 9 WB P.39-40, 42-43 ◦ ◦ ◦ ◦ 30 Oct (again!) SHW (II) – Yellow 30 Oct (Tuesday) Open Book Quiz 31 Oct (Wednesday) Close Book Quiz 7 Nov (Wednesday) You must hand in on time! Good Luck! Enjoy the world of Mathematics! Ronald HUI