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Mathematics

Mathematics. Ronald Hui Tak Sun Secondary School. Reminder. Standard Homework (II) Deadline: Today! Standard Homework (III) Deadline: 18 Sep (Tue) Open Book Quiz (Chapter 0) Deadline: 19 Sep (Wed) Closed Book Quiz (Chapter 0), Dictation 2 and Folder Checking Last week of September.

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Mathematics

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  1. Mathematics Ronald Hui Tak Sun Secondary School

  2. Reminder • Standard Homework (II) • Deadline: Today! • Standard Homework (III) • Deadline: 18 Sep (Tue) • Open Book Quiz (Chapter 0) • Deadline: 19 Sep (Wed) • Closed Book Quiz (Chapter 0), Dictation 2 and Folder Checking • Last week of September Ronald HUI

  3. Revision for Quiz • Textbook 1A • Pages 2 – 31 • Workbook 1A • Pages 1 – 16 • Summer Revision • Pages 1 – 19 • My PowerPoint files • Your own notes Ronald HUI

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

  5. Revision • 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 (指數記數法) • 3 is base 底 • 2 is index 指數 Ronald HUI

  6. Revision • Index notation is very helpful in long expression of prime factors • 432 = 2 x 2 x 2 x 2 x 3 x 3 x 3 = 24 x 33 • 86400 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 = 27 x 33x 52 Ronald HUI

  7. Revision • We can find H.C.F. from Index Notation! (用指數記數法找HCF) • 18=2x 3 x 3 = 2 x 32 • 24 = 2 x 2 x 2 x 3 = 23 x 3 • We know H.C.F. of 18 and 24 is 6 • 6 = 2 x 3 • Can you find the rule? Ronald HUI

  8. Revision • We can find L.C.M. from Index Notation! (用指數記數法找LCM) • 4=2x 2 = 22 • 6 = 2 x 3 = 2 x 3 • We know L.C.M. of 4 and 6 is 12 • 12 = 2 x 2 x 3 = 22 x 3 • Can you find the rule? Ronald HUI

  9. Revision • 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 Ronald HUI

  10. Fractions (p.11) • Fractions  Numerator (分子)  Fraction line (分數線)  Denominator (分母) • 3 over 4 • 3 is divided by 4 • 3  4 • Three-quarter (quarter = ¼) Ronald HUI

  11. Fractions (p.12) • Types of Fractions • Proper fraction (真分數) • Improper fraction(假分數) • Mixed number(帶分數) • http://zh.wikipedia.org/zh-hk/%E5%88%86%E5%BC%8F#.E5.88.86.E9.A1.9E Ronald HUI

  12. Comparing Fractions • The following fractions are equal • We can then compare different fractions Ronald HUI

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

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

  15. Time for Practice • Pages 21 of Textbook 1A • Questions 16 – 20 • Ascending (遞升)  increasing • Descending (遞降)  decreasing • Pages 10 – 12 of Workbook 1A • Questions 7 – 10 Ronald HUI

  16. Reminder • BCA Online Exercise • Deadline: 10 Sep (Mon) • Standard Homework (III) • Deadline: 18 Sep (Tue) • PowerPoint files • http://personal.tsss.edu.hk/roh Ronald HUI

  17. Good Luck! Enjoy the world of Mathematics! Ronald HUI

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