Download Chapter - St Francis` Canossian College

ST. FRANCIS’ CANOSSIAN COLLEGE
MATHEMATICS DEPARTMENT
CURRICULUM PLANNING 07-08
Textbook: New Trend Mathematics Book 3 (Chung Tai)
Subject: Mathematics
Class: Form 3
Subject Teachers: Ms. Esther Wong, Mrs. E. Fu, Ms. S. Wong, Ms. A. Lai
Chapter
Date
Cycle
1
4/9-25/9
1-3
Contents
N.P.
1.1 Index Concepts
1.2 Laws of Positive Integral Indices
1
3.5
Suggested Activities
Class Activity (P.15, 17, 18)
A. Laws of indices of a m  a n and a m  a n
B. Law of index of ( a m ) n
C. Law of indices of (ab)
n
Additional questions P.52
a
and ( ) n
b
1.3 Laws of Zero and Negative Integral Indices
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
2.5
1
2
0.5
1
Class Activity (P.21)
Powerpoint “Numeral System”
Guessing age & surnames, Arranging playing cards (Game)
F.3 curriculum P. 1
2
4
27/9-23/10
24/10-8/11
3-5
6-7
2.1 Comparison of Two Quantities
2.2 Percentage 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
4.1 Solids Without Uniform Cross-section
A Pyramids
B. Cones
C. Spheres
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 Solids
A. Perpendicular lines of a plane
B. Angle between a line and a plane
C. Angle between two planes
Chapter Quiz
1
2
2
3
Class Activity (P.54)
“Loan Shark” (Moral and Civic Education)
Student’s CD (P.71))
2
Web surfing “Hong Kong Taxation Department” Powerpoint
2
“Taxation” (Civic Education)
Harder exercises on Percentages
1
1
3
2
3
2
Student’s CD (P.124, 126, 127, 129)
Teaching Kid
Class Activity (P.131)
Student’s CD (P.138)
Teaching Kid
Class Activity (P.147), Teaching Kid, Exercise on Web
1
F.3 curriculum P. 2
3
8/11-28/11
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 Polynomials in One
Variable
A. Factorization of polynomials in the form of
4
(Revision)
x 2  bx  c
B. Factorization of polynomials in the form of
ax2  bx  c
8
3.3 Factorization of Quadratic Polynomials in Two
Variables
3.4 Difference and Sum of Two Cubes
Chapter Quiz
29/11-19/12 10-12 8.1. Volume and Surface Area of a Pyramid
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 surface 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
21/12-2/1
2
1
3
Class Activity (P.45), Teaching Kid
2
2
Teaching Kid
Class Activity (P.56)
Class Activity (P.63, 65)
3
1
Class Activity (P.73)
X’MAS HOLIDAY
F.3 curriculum P. 3
2/1-14/1
5
16/1-29/1
FIRST TERM EXAMINATION
14-15 5.1 Intuitive Method and Deductive Method
5.2 The Origin of Deductive Geometry
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
6
30/1-3/3
6/2 –17/2
Chapter Quiz
15-17 6.1 Introduction
6.2 Means
A. Finding means of ungrouped data
B. Finding means of grouped data
6.3 Medians
A. Finding medians of ungrouped data
B.Finding medians of grouped data
1
Class Activity (P.161)
2
3
Proof of Theorems related to the sides and angles of triangle
Formal proof for construction method
1
3
Class Activity (P.202)
2
Powerpoint (I)
LUNAR NEW YEAR HOLIDAY
F.3 curriculum P. 4
6.4 Modes and Modal Classes
A. Finding 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
2
Powerpoint (II) 1-10
1
Powerpoint (II) 17-25
2
6.7 Investigations on Central Tendency
1
Powerpoint (II) 26-34
Newspaper cutting on Misuse of Averages (Civic Education)
Hong Kong Statistics / comparison with other countries
(Civic Education)
Student CD P.236
A. Adding a common constant to all the data
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
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 Triangles
10.4 Theorems Related to Similar Triangles
10.5 Important Lines in a Triangle
10.6 Centres of Triangles
A. Constructions of centres of triangles
B. The proofs of the centres of triangles
1
1
Powerpoint (III), Class Activity (P.245)
2
Class Activity (P.142, 143)
3
Class Activity (P.148)
1
Proof of Centroid
1
Chapter Quiz
F.3 curriculum P. 5
11
13/3-14/4
20/3 – 30/3
19-21
11.1 Common Quadrilaterals
11.2 Exploration of Quadrilaterals
A. Kites
B. Trapeziums
C. Parallelograms
D. Rectangles
E. Squares
F. Rhombuses
G. Classification of quadrilaterals
EASTER HOLIDAY
11.3 Proofs of Quadrilaterals
A. Properties of kite
B. Properties of trapezium
C. Properties of parallelogram
D. Conditions of parallelograms
E. Property of rectangle
F. Properties of square
G. Properties of rhombus
11.4 Mid-point Theorem
11.5 Intercept Theorem
Chapter Quiz
4
Worksheet (Exploration of properties of quadrilaterals using
Sketchpad. )
Class Activity (P.183)
Class Activity (P.185)
Class Activity (P.186)
4
Problems involving numerical answers only
2
2
Problems involving numerical answers only
Formal proof using Intercept theorem and mid-point theorem
1
F.3 curriculum P. 6
12
7
15/4-7/5
8/5-21/5
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 division
12.7 Treatment of Plane Figures on Cartesian Plane
Chapter Quiz
24-25 7.1 The Meaning of Probability
A. The origin of probability
B. Theoretical probability
C. The probabilities of certain events and
impossible events
7.2 Relative Frequency and Experimental Probability
21-23
3
2
4
2
4
1
1
1
1.5
Powerpoint (I)
1.5
Class Activity (P.3)
Class Activity (P.12), Powerpoint (II), Student’s CD (P.16)
3
7.3 Sample Space and Counting
7.4 More about Probability
A. Probability involving geometry
B. Expected values
Chapter Quiz
1
2
1
F.3 curriculum P. 7
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. Trigonometric ratios 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
5/6-22/6
Remarks:
1
1
1.5
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)
1.5
1.5
Class Activity (P.109)
(Simulation Model)
1.5
2
1
FINAL EXAMINATION
Topics in Italics will be dealt with in details for abler students.
F.3 curriculum P. 8