Mathematics Ronald Hui Tak Sun Secondary School

Ronald HUI Reminder Review of Standard Homework Review of Standard Homework Today! Today! Open Book Quiz (Chapter 0) Open Book Quiz (Chapter 0) Today! Today! Correction of Standard Homework (II) and (III) Correction of Standard Homework (II) and (III) 21 Sep (Friday) 21 Sep (Friday)

Ronald HUI Numbers Numbers (Chapter 0.1, page 2) Numbers (Chapter 0.1, page 2) Natural Number ( 自然數 ) Natural Number ( 自然數 ) 1, 2, 3, 4, 5, … 1, 2, 3, 4, 5, … Whole Number ( 完整數 ) Whole Number ( 完整數 ) 0, 1, 2, 3, 4, 5, … 0, 1, 2, 3, 4, 5, … Even Number ( 偶數，雙數 ) Even Number ( 偶數，雙數 ) 0, 2, 4, 6, 8, … 0, 2, 4, 6, 8, … Odd Number ( 奇數，單數 ) Odd Number ( 奇數，單數 ) 1, 3, 5, 7, 9, … 1, 3, 5, 7, 9, …

Ronald HUI Calculation Arithmetic Operations Arithmetic Operations “+” – Addition “+” – Addition Add… to…, Plus, Sum Add… to…, Plus, Sum “–” – Subtraction “–” – Subtraction Subtract… from…, Minus, Difference Subtract… from…, Minus, Difference “x” – Multiplication “x” – Multiplication Multiply… by…, Times, Product Multiply… by…, Times, Product “  ” – Division “  ” – Division … is divided by…, Over, Quotient … is divided by…, Over, Quotient

Ronald HUI Calculation order Please follow the order: Please follow the order: Brackets ( ), [ ], { } ( 小中大括號 ) Brackets ( ), [ ], { } ( 小中大括號 ) Multiplication / division first, then addition / subtraction ( 先乘除後加減 ) Multiplication / division first, then addition / subtraction ( 先乘除後加減 ) From left to right ( 由左至右 ) From left to right ( 由左至右 )

Ronald HUI Numbers Prime numbers ( 質數 ) Prime numbers ( 質數 ) 2, 3, 5, 7, 11, 13, 17, 19, 23, … 2, 3, 5, 7, 11, 13, 17, 19, 23, … Multiples ( 倍數 ) Multiples ( 倍數 ) Multiples of 2:2, 4, 6, 8, … Multiples of 2:2, 4, 6, 8, … Multiples of 3:3, 6, 9, 12, … Multiples of 3:3, 6, 9, 12, … Factors ( 因子 ) Factors ( 因子 ) 2 is a factor of 2, 4, 6, 8, … 2 is a factor of 2, 4, 6, 8, … 3 is a factor of 3, 6, 9, 12, … 3 is a factor of 3, 6, 9, 12, …

Ronald HUI Index Notation Factors of 18: 1, 2, 3, 6, 9, 18 Factors of 18: 1, 2, 3, 6, 9, 18 Prime factors of 18: 2, 3 Prime factors of 18: 2, 3 18 = 2 x 9 18 = 2 x 9 = 2 x 3 x 3 = 2 x 3 x 3 18 = 2 x 3 2  Index Notation 18 = 2 x 3 2  Index Notation 3 2 = 3 x 3( 指數記數法 ) 3 2 = 3 x 3( 指數記數法 ) 3 is base 底 3 is base 底 2 is index 指數 2 is index 指數

Ronald HUI H.C.F. Case 1 Case 1 18 = 2 x 3 x 3= 2 x = 2 x 3 x 3= 2 x = 2 x 2 x 2 x 3= 2 3 x 3 24 = 2 x 2 x 2 x 3= 2 3 x 3 HCF: 6= 2 x 3 HCF: 6= 2 x 3 Case 2 Case = 2 2 x 5 2 x = 2 2 x 5 2 x = 2 4 x 3 2 x = 2 4 x 3 2 x 5 HCF is 20 = 2 2 x 5 HCF is 20 = 2 2 x 5

Ronald HUI L.C.M. Case 1 Case 1 4 = 2 x 2 = = 2 x 2 = = 2 x 3 = 2 x 3 6 = 2 x 3 = 2 x 3 LCM:12 = 2 x 2 x 3 = 2 2 x 3 LCM:12 = 2 x 2 x 3 = 2 2 x 3 Case 2 Case 2 28 = 2 2 x 7 28 = 2 2 x 7 30 = 2 x 3 x 5 30 = 2 x 3 x 5 LCM: 420 = 2 2 x 3 x 5 x 7 LCM: 420 = 2 2 x 3 x 5 x 7

Ronald HUI H.C.F. and L.C.M. If the numbers did not have common prime factors, their HCF is 1 and their LCM is the product of them If the numbers did not have common prime factors, their HCF is 1 and their LCM is the product of them 20 = 2 2 x 5 20 = 2 2 x 5 63 = 3 2 x 7 63 = 3 2 x 7 Their HCF is 1 Their HCF is 1 Their LCM is 20 x 63 = 1260 Their LCM is 20 x 63 = 1260

Ronald HUI Types of fractions Types of Fractions Types of Fractions Proper fraction ( 真分數 ) Proper fraction ( 真分數 ) Improper fraction ( 假分數 ) Improper fraction ( 假分數 ) Mixed number ( 帶分數 ) Mixed number ( 帶分數 ) The following fractions are equal The following fractions are equal

Ronald HUI Addition, Subtraction Use improper fractions Use improper fractions Change to same denominators Change to same denominators Do operations on numerators Do operations on numerators LCM of 3, 2, 4 is 12

Ronald HUI Multiplication, Division Use improper fractions Use improper fractions Use reciprocal for division Use reciprocal for division Multiply numerators and denominators separately Multiply numerators and denominators separately Simplest Form!

Ronald HUI Tools and units Select suitable units Select suitable units Length: km / m / cm / mm Length: km / m / cm / mm Time: hr / min / sec Time: hr / min / sec Weight: kg / g / lb Weight: kg / g / lb Temperature:  C /  F Temperature:  C /  F Volume: L / ml Volume: L / ml

Ronald HUI Revision for Quiz Textbook 1A Textbook 1A Pages 2 – 31 (Chapter 0) Pages 2 – 31 (Chapter 0) Workbook 1A Workbook 1A Pages 1 – 16 (Chapter 0) Pages 1 – 16 (Chapter 0) Summer Revision Summer Revision Pages 1 – 19 (Units 1 – 3) Pages 1 – 19 (Units 1 – 3) My PowerPoint files My PowerPoint files Your own notes Your own notes

Ronald HUI Reminder Correction of Standard Homework (II) and (III) Correction of Standard Homework (II) and (III) 21 Sep (Friday) 21 Sep (Friday) Dictation 2 Dictation 2 24 Sep (Monday) 24 Sep (Monday) Closed Book Quiz (Chapter 0) and Folder Checking Closed Book Quiz (Chapter 0) and Folder Checking Last week of September Last week of September

Ronald HUI Dictation 2 Numbers in words Numbers in words One, Two Three, Four, Five, Six, Seven, Eight, Nine, Ten One, Two Three, Four, Five, Six, Seven, Eight, Nine, Ten Eleven, Twelve, Thirteen, Fourteen, Fifteen, Sixteen, Seventeen, Eighteen, Nineteen Eleven, Twelve, Thirteen, Fourteen, Fifteen, Sixteen, Seventeen, Eighteen, Nineteen Twenty, Thirty, Forty, Fifty, Sixty, Seventy, Eighty, Ninety, Hundred, Twenty, Thirty, Forty, Fifty, Sixty, Seventy, Eighty, Ninety, Hundred, Thousand, Million, Billion, … Thousand, Million, Billion, …

Ronald HUI Good Luck! Enjoy the world of Mathematics!