Chapter - St. Francis' Canossian College

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F.3 curriculum P.
1



ST. FRANCIS’ CANOSSIAN COLLEGE

MATHEMATICS DEPARTMENT

CURRICULUM PLANNING 0
7
-
0
8

Subject: Mathematics


Textbook: New Trend Mathematics Book 3 (Chung Tai)

Class: Form 3

Subject Teachers:

Ms.
Esther Wong
, Mrs. E. Fu, Ms.
S. Wong
, Ms. A. Lai



Chapter

Date

Cycle

Contents

N.P.

Suggested Activities

1

4
/9
-
2
5
/9

1
-
3

1
.1
Index Concepts

1
.2
Laws of Positive Integral Indices

A.

Laws of indices of


and

B.

Law of index of


C.

Law of ind
ices

of


and

1
.3 Laws of Zero and Negative Integral Indice
s

1
.4 Simple Exponential Equations

1
.5 Scientific Notation

1
.
6

Indices and Numeral Systems

A.

Denary system

B.

Binary system


C
.

Hexadecimal system




Chapter Quiz

1

3.5






1

2.5

1


2


0
.5

1


Class Activity (P.15, 17, 18)




Additional questions P.52




Class Activity (P.21)




Powerpoint “Numeral System”


䝵d獳s湧 age C⁳畲湡me猬s䅲rang楮i⁰ ay楮g ca牤猠
(Gam
e)

F.3 curriculum P.
2



2

2
7/9
-
23
/10

3
-
5

2
.1 Comparison of Two Quantities

2
.2 Perc
entage Change

2
.
3

Simple Interest

2
.
4

Compound Interest

2
.
5

Growth and Depreciation

A.

Growth

B.

Depreciation

2.
.
6

Taxation and Rates

A

Rates

B.

Property tax

C
.

Profits tax

2
.
7

Salaries Tax


Chapter Quiz

1

2

2

3



2



2


1

Class Activity (P.54)



“Loan Sha
rk”

(Moral and Civic Education)

Student’s CD (P.71)
)




Web surfing “Hong Kong Taxation Department”

Powerpoint
“Taxation”

(Civic Education)

Harder exercises on Percentages

4

24
/1
0
-
8
/11

6
-
7

4.1 Solids Without Uniform Cross
-
section

A

Pyramids

B.

Cones

C.

Sp
heres

4.2 Symmetry of Solids

A.

Reflectional symmetrical solids

B.

Rotational symmetrical solids

4.3
Nets of Solids

4.
4

Projections of 3
-
dimensional Figures

A.

Orthographic projections

B.

Limitations of plane figures

4.
5

Properties of Lines and Planes of Soli
ds

A.

Perpendicular lines of a plane

B.

Angle between a line and a plane

C
.

Angle between two planes

Chapter Quiz

1



3



2

3

2



1




Student’s CD (P.124, 126, 127, 129)


Teaching Kid




Class Activity (P.131)


Student’s CD (P.138)


Teaching Kid


Class Ac
tivity (P.147), Teaching Kid, Exercise on Web


F.3 curriculum P.
3



3

8
/1
1
-
2
8
/1
1

7
-
9

3
.1 Factorization of Polynomials

A

Taking out common factors for factorization

B.

Grouping terms for factorization

C.

Using identities for factorization

3
.2 Factorization of
Quadratic
Polynom
ials

in One
Variable

A.

Factorization of polynomials in the form of


B.

Factorization of polynomials in the form of


3.3
Factorization of Quadratic Polynomials in Two
Variables

3
.4 Difference and Sum of Two Cub
es


Chapter Quiz

4







2

1

(Revision)








8

29/11
-
19
/12

10
-
12

8.
1.

Volume and Surface Area of a
P
yramid

A
.

Volume of a pyramid

B.

Volume of a frustum

C.

Surface area of a pyramid

8.2

Volume and Surface Area of a Cone

A.

Volume of a cone

B.

Curved sur
face area of a right circular cone

8.3

Volume and Surface Area of a Sphere

A.

Volume of a sphere

B.

Surface area of a sphere

8.4

Mensuration Formulae

A.

Plane figures

B.

Solids

8.5

Similar Solids

Chapter

Quiz

3




2



2



3

1

Class Activity (P.45), Teachin
g Kid






Teaching Kid

Class Activity (P.56)


Class Activity (P.63, 65)





Class Activity (P.73)



21/12
-
2/1


X’MAS HOLIDAY



F.3 curriculum P.
4




2
/1
-
14/1


FIRST TERM EXAMINATION



5

16/1
-
29/1

14
-
15

5
.1 Intuitive Method and Deductive Method

5
.2 The Origin of Deductive G
eometry

A.

Facts about geometry in ancient Greek

B.


The Elements


5
.
3

Theorems Related to Straight Lines

5
.
4

Theorems Related to Triangles

A.

Theorems for congruent triangles


B.

Constructions


C.

Theorems for isosceles triangles

D.

Theorems
related to the
sides and angles of

triangles

Chapter Quiz

1



2

3




1

Class Activity (P.161)





Proof of Theorems

related to the sides and angles of triangle

Formal proof for construction method


6

30/1
-
3/3

15
-
17

6
.1 Introduction

6
.2 Means

A.

Finding means of ungrou
ped data

B.

Finding means of grouped data

6.3
Medians

A.

Finding medians of ungrouped data

B.Finding medians of grouped data

3




2



Class
Activity (P.202
)





Powerpoint (I)



6
/2

17
/2


LUNAR NEW YEAR HOLIDAY



F.3 curriculum P.
5





6
.4 Modes and Modal Classes

A.

Findi
ng modes

B.

Finding modal classes

6
.5 Application of Central Tendency

A
.

Application of central tendency

B.

Comparison of two sets of data by using averages

6
.6 Misuse of Averages



6
.7
Investigations on Central Tendency

A.

Adding a common constant to all the da
ta

B.

Multiplying all the data by a common constant

C.

Removing a datum from a set of data

D
.

Inserting "0" to the data

6
.
8

Weighted Mean

Chapter Quiz


2



1



2



1





1

1

Powerpoint (II) 1
-
10



Powerpoint (II) 17
-
25



Powerpoint (II) 26
-
34

Newspaper cut
ting on Misuse of Averages
(Civic Education)

Hong Kong Statistics / comparison with other countries

(Civic Education)

Student CD P.236





Powerpoint (III),
Class
Activity (P.245
)

10

4/3
-
12/3


17
-
18

10.1 Review on Deductive Geometry

10.2 Theorems Related
to Parallel Lines

A
.

Theorems that determine parallel lines

B.

Converse of theorems that determine parallel
lines

C.

Transitive property of parallel lines

10.3 Theorems Related to Triangle
s

10.4 Theorems Related to Similar Triangle
s

10.5 Important Lines in

a Triangl
e

10.6

Centres of Triangles

A. Constructions of centres of triangle
s

B.

The proofs of the

centres of triangles

Chapter Quiz

2




3



1


1

Class Activity (P.142, 143)





Class Activity (P.148)




Proof of Centroid


F.3 curriculum P.
6



11

13/3
-
14/4

19
-
21

11
.
1

Common Quadrilateral
s

11
.2

Exploration of Quadrilateral
s

A.

Kite
s

B.

Trapezium
s

C
.

Parallelogram
s

D
.

Rectangles

E
.

Sq
ua
re
s

F
.

Rhombuses

G
.

Classification of quadrilaterals

4









Worksheet (Exploration

of properties of quadrilaterals

using
Sketchpad
.
)

Class Activity (P.183)

Class Activity (P.185)


Class Activity (P.186)





20/3



30/3


EASTER HOLIDAY





11
.3

Proofs of Quadrilateral
s

A.

Properties of kit
e

B.

Properties of trapeziu
m

C
.

Properties of parallelogra
m

D
.

Conditions of parallelogram
s

E
.

Property of rectang
le

F
.

Properties of squar
e

G
.


Properties of rhombu
s

11
.
4

Mid
-
point Theorem


11
.
5

Intercept Theore
m


Chapter
Quiz

4






2


2


1






Problems involving numerical answers only


Problems involving numerical answers only

Formal proof usin
g Intercept theorem and mid
-
point theorem

F.3 curriculum P.
7




12

15/4
-
7/5

21
-
2
3

12.1

Introduction

12.2

The Distance Between Two Points

12.
3

Slopes

12.4

Parallel Lines

12.5

Perpendicular Lines

12.6

Points of Division

A.

Coordinates of mid
-
point

B.

Internal points of divisio
n

12.7

Treatment of Plane Figures on Cartesian Plane

Chapter
Quiz

3

2

4

2

4

1

1

1





7

8/5
-
21/5

24
-
25

7.1

The Meaning of Probability

A.

The origin of probability

B.

Theoretical probability

C.

The p
robabilities

of certain events and
impossible event
s

7.2

R
e
lative Frequency and Experimental Probability


7.3

Sample
S
pace and
C
ounting

7.4

More about
P
robability

A.

Probability involving geometry

B.

Expected values

Chapter
Quiz

1.5



1.5


3


1

2

1

Powerpoint (I)


Class Activity (P.3)


Class Activity (P.12
), Po
w
erpoint (II), Student’s CD (P.16)



F.3 curriculum P.
8




9

22/5
-
6/6

26
-
27

9.1


Trigonometric Ratios of Some Special Angles

9.2

Trigonometric Relations

A.

The relations among trigonometric ratios

B.

The relation of the squares of trigonometric ratios


C.

T
r
igonometric r
atios of complementary angles

9.3

Plane Figures Related to Special Angles

9.4

Gradients

A.

Gradient of a road

B.

Geographical gradient

9.5

Angles of Elevation and Depression

9.6

Bearings

A.

The compass bearings

B.

True bearings

C.

Problems of
trigonometry

involving bearings

Chapter
Quiz

1

1


1.5


1.5

1.5


1.5

2



1

Class Activity (P.87)

Class Activity (P.92), Student’s CD (p.93)
)


Class Activity (P.94), Student’s CD (p.94)


Class Activity (P.97), Student’s CD (p.98)



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 ⸱〹K


⡓業畬慴楯渠䵯u
e氩


㔯5
-




FINAL EXAMINATION




Remarks: Topics in Italics will be dealt with in details

for abler students
.