Mathematics

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Mathematics

• Ronald Hui
• Tak Sun Secondary School

2
Reminder

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

3
Numbers

• Numbers (Chapter 0.1, page 2)
• Natural Number (???)
• 1, 2, 3, 4, 5,
• Whole Number (???)
• 0, 1, 2, 3, 4, 5,
• Even Number (??,??)
• 0, 2, 4, 6, 8,
• Odd Number (??,??)
• 1, 3, 5, 7, 9,

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Calculation

• Arithmetic Operations
• Addition
• Add to, Plus, Sum
• Subtraction
• Subtract from, Minus, Difference
• x Multiplication
• Multiply by, Times, Product
• ? Division
• is divided by, Over, Quotient

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Calculation order

• Please follow the order
• Brackets ( ), , (?????)
• Multiplication / division first,then addition /
  subtraction(??????)
• From left to right(????)

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Numbers

• Prime numbers (??)
• 2, 3, 5, 7, 11, 13, 17, 19, 23,
• Multiples (??)
• Multiples of 2 2, 4, 6, 8,
• Multiples of 3 3, 6, 9, 12,
• Factors (??)
• 2 is a factor of 2, 4, 6, 8,
• 3 is a factor of 3, 6, 9, 12,

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Index Notation

• Factors of 18 1, 2, 3, 6, 9, 18
• Prime factors of 18 2, 3
• 18 2 x 9
• 2 x 3 x 3
• 18 2 x 32 ? Index Notation
• 32 3 x 3 (?????)
• 3 is base ?
• 2 is index ??

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H.C.F.

• Case 1
• 18 2 x 3 x 3 2 x 32
• 24 2 x 2 x 2 x 3 23 x 3
• HCF 6 2 x 3
• Case 2
• 700 22 x 52 x 7
• 720 24 x 32 x 5
• HCF is 20 22 x 5

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L.C.M.

• Case 1
• 4 2 x 2 22
• 6 2 x 3 2 x 3
• LCM12 2 x 2 x 3 22 x 3
• Case 2
• 28 22 x 7
• 30 2 x 3 x 5
• LCM 420 22 x 3 x 5 x 7

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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
• 20 22 x 5
• 63 32 x 7
• Their HCF is 1
• Their LCM is 20 x 63 1260

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Types of fractions

• Types of Fractions
• Proper fraction (???)
• Improper fraction (???)
• Mixed number (???)
• The following fractions are equal

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Addition, Subtraction

• Use improper fractions
• Change to same denominators
• Do operations on numerators
• LCM of 3, 2, 4 is 12

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Multiplication, Division

• Use improper fractions
• Use reciprocal for division
• Multiply numerators and denominators separately
• Simplest Form!

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Tools and units

• Select suitable units
• Length km / m / cm / mm
• Time hr / min / sec
• Weight kg / g / lb
• Temperature ?C / ?F
• Volume L / ml

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Revision for Quiz

• Textbook 1A
• Pages 2 31 (Chapter 0)
• Workbook 1A
• Pages 1 16 (Chapter 0)
• Summer Revision
• Pages 1 19 (Units 1 3)
• My PowerPoint files
• Your own notes

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Reminder

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

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Dictation 2

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

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• Good Luck!
• Enjoy the world of Mathematics!