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Form 1 Mathematics Chapter 9

Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

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Page 1: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Form 1 Mathematics

Chapter 9

Page 2: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Lesson requirement Textbook 1B Workbook 1B Notebook Folder

Before lessons start Desks in good order! No rubbish around! No toilets!

Page 3: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Reflectional Symmetry (反射對稱 , p.78)

Rotational Symmetry (旋轉對稱 , p.80)

Page 4: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

4 lines of symmetry

Lines of symmetry

Page 5: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Centre

Of

Rotation

3-fold rotational symmetry

Page 6: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

3-fold rotational symmetry

5-fold rotational symmetry

Centre

Of

Rotation

Page 7: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

5-fold rotational symmetry

Centre

Of

Rotation

Page 8: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Pages 84 – 85 of Textbook 1B Questions 2 – 10

Pages 38 – 39 of Workbook 1B Questions 3 – 9

Page 9: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Four types of transformations:1. Translation2. Reflection3. Rotation4. Enlargement / reduction

Let’s look at this now

Page 10: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

It translates the figure to the left by 1 unit.

Page 11: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!
Page 12: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

A

B C

A’

B’ C’

Page 13: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

A

B

CCArrow A is translated 4 units to the right and 2 units downwards to give Arrow C.

Page 14: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Four types of transformations:1. Translation2. Reflection3. Rotation4. Enlargement / reduction

Let’s look at this now

Page 15: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!
Page 16: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

It reflects the figure

about the line of reflection

AB.

A

B

Page 17: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!
Page 18: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Figure A Figure B

Lin

e of

ref

lect

ion

What’s this line called?

Page 19: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Four types of transformations:1. Translation2. Reflection3. Rotation4. Enlargement / reduction

Let’s look at this now

Page 20: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Centre of rotation

Page 21: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

It rotates the figure anti-clockwisearound point G

by 90o.

G

What is point G called?

Page 22: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

A’

A

B

C

D

E

╳O

E’

D’ C’

B’

The arrow ABCDE is rotated clockwise by 90° about the point O to obtain image A’B’C’D’E’

Page 23: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

A

B C ╳O

A’B’

C’

C’’ B’’

A’’

C’’’

B’’’A’’’

Page 24: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Four types of transformations:1. Translation2. Reflection3. Rotation4. Enlargement / reduction

Let’s look at this now

Page 25: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

The robot enlarges the figure to 2 units long and 2 units high

The robot ??? the figure to ?? units ???? and ?? units ????

Another way: The robot ENLARGES the figure by 2 TIMES

Page 26: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

The robot enlarges the figure by 2 times

This is called ENLARGEMENT.

Page 27: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

A B

C

A’ B’

Page 28: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

The robot reduces the figure to 1 unit long and 1 unit high

The robot ??? the figure to ?? units ???? and ?? units ????

Another way: The robot REDUCES the figure by ONE HALF (1/2)

Page 29: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

The robot reduces the figure by one half

This is called REDUCTION.

Page 30: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

A B

C

A’ B’

Page 31: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Pages 100 – 101 of Textbook 1B Questions 1 – 14

Pages 40 – 41 of Workbook 1B Questions 1 – 2

Page 32: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

B A

C

A’

C’

A’

C’

What is the length of A’B’?

( 18 ÷ 3 ) x (3 + 3 + 3) = 54

The length of A’B’ is 54 units after the enlargement.

Page 33: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Three different effects of transformations on coordinates system:

1. Translation2. Reflection3. Rotation

Page 34: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Translation of a point (e.g. move to the right by 7 units)

A (–3 , 6) A’ (4 , 6)

Moveto the right by a units

A (x, y) A’ (x+a, y)

Page 35: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Translation of a point (e.g. move to the left by 5 units)

A (4 , 3) A’ (–1, 3)

Moveto the left by a units

A (x, y) A’ (x–a, y)

Page 36: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Translation of a point (e.g. move upwards by 7 units)

A (–3 , 6) A’ (–3 , 13)

Move upwards by a units: A (x, y) A’ (x, y+a)

Move downwards by a units: A (x, y) A’ (x, y–a)

Page 37: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Translation of a line segment (e.g. move to the left by 4)

Point first

Then line

Page 38: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Translation of a plan figure(e.g. move downwards by 6)

Point first

Then shape

Page 39: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Reflection of a point(e.g. Reflect along x-axis)A (4 , 2) A’ (4 , –2)

Reflectalong x-axis

A (x, y) A’ (x, –y )

Page 40: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Reflection of a point (e.g. Reflect along y-axis)A (4 , 2) A’ (–4 , 2)

Reflectalong y-axis

A (x, y) A’ (–x, y )

Page 41: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Reflection of a line segment (e.g. Reflect along y-axis)

Point first

Then line

Page 42: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Reflection of a plan figure (e.g. Reflect along y-axis)

Point first

Then shape

Page 43: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Rotation of a point(e.g. Rotate about OriginAnti-clockwise by 90)A (4 , 2) A’ (–2 , 4)

Reflect about Origin by 90 anti-clockwise

A (x, y) A’ (–y, x)

Page 44: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Rotation of a point(e.g. Rotate about OriginAnti-clockwise by 180)A (4 , 2) A’ (–4 , –2)

Reflect about Origin by 180 anti-clockwise

A (x, y) A’ (–x, –y)

Page 45: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Rotation of a point(e.g. Rotate about OriginAnti-clockwise by 270)A (4 , 2) A’ (2 , –4)

Reflect about Origin by 270 anti-clockwise

A (x, y) A’ (y, –x)

Page 46: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Pages 114 – 115 of Textbook 1B Questions 5 – 17

Pages 43 – 44 of Workbook 1B Questions 1 – 4

Page 47: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Result of Close Book Quiz Full mark: 40 and 10 bonus Highest: 38 Lowest: 4 Average: 18.1 Number of students between 10 – 19: 12 Number of students between 0 – 9: 8

Major Problems Cannot get the base and height of the figure Cannot calculate the areas No “units”, No “sq. units”, Wrong use of

units

Page 48: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Result of Close Book Quiz 9th place: CHAN Wa Pan, Ben 6th place: CHEN Yi, David

HUNG Nok Yin, AngusWU SHAN Hao Yi

4th place: CHAN Tsz Long, Sam FU Ling Yin, Larry

3rd place: LAU Cheuk Hei, Anson 2nd place: LI Ming Chun, Edward 1st place: LI Sai Kong

Congratulations!!!!!! Well done!!!!!!

Page 49: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Missing Homework, Re-do Homework Today!

SHW (III) 15 Mar (Fri)

Open Book Quiz 15 Mar (Fri)

Close Book Quiz 19 Mar (Tue) – To be confirmed

Page 50: Form 1 Mathematics Chapter 9. Lesson requirement Textbook 1B Workbook 1B Notebook Folder Before lessons start Desks in good order! No rubbish around!

Enjoy the world of Mathematics!

Ronald HUI