1. Ronald Hui Tak Sun Secondary School
Mathematics
Ronald Hui
Tak Sun Secondary School

2. Reminder Standard Homework 0-B1 Standard Homework 0-C1
Deadline: 18 Sep (Mon)
Standard Homework 0-C1
Deadline: 21 Sep (Thu)
Standard Quiz (Chapter 0)
Folder Checking
Next week after Quizzes
Ronald HUI

3. Revision Prime numbers (質數) Multiples (倍數) Factors (因子)
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

4. Revision Factors of 18: 1, 2, 3, 6, 9, 18 18 = 2 x 9 = 2 x 3 x 3
Prime factors of 18: 2, 3
18 = 2 x 9
= 2 x 3 x 3
18 = 2 x  Index Notation
32 = 3 x 3 (指數記數法)
3 is base 底
2 is index 指數
Ronald HUI

5. 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 33 x 52
Ronald HUI

6. Revision We can find H.C.F. from Index Notation! (用指數記數法找HCF)
18 = 2 x 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

7. Revision We can find L.C.M. from Index Notation! (用指數記數法找LCM)
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

8. 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

9. Fractions (p.11) Fractions 3 over 4 3 is divided by 4 3  4
 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

10. Fractions (p.12) Types of Fractions
Proper fraction (真分數)
Improper fraction (假分數)
Mixed fraction (帶分數)
Ronald HUI

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

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

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

14. Time for Practice Pages 0.22 of Textbook 1A Questions 2 – 12
Ronald HUI

15. Revision for Quiz Textbook 1A Chapter Summary My PowerPoint files
Pages 0.2 – 0.29
Chapter Summary
Pages 0.24 – 0.25
My PowerPoint files
Your own notes!!!
Ronald HUI

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