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LIU PO SHAN MEMORIAL COLLEGE
S2 MATHEMATICS TEACHING SCHEDULE (2011 – 2012)
Week and Date
1 – 3 (2/9 – 14/9)
3 – 5 (15/9 – 30/9)
6–8
(29/9 – 26/10)
9 – 10
(28/10 – 2/11)
10 – 12 (3/11 – 16/11)
13 – 15 (17/11 – 6/12)
15 – 17 (7/12 – 21/12)
17 –19
(23/12 – 2/1)
19
(4/1 – 5/1)
19 – 21 (6/1 – 19/1)
21 – 23 (20/1 – 31/1)
23 – 25 (1/2 – 16/2)
25 – 27 (17/2 – 1/3)
27 – 28 (2/3 – 9/3)
29 - 30
(12/3 – 22/3)
31
(26/3 – 29/3)
31 – 34
(30/3 – 18/4)
34 – 35
35 – 39
38 – 41
41 – 44
(19/4 – 3/5)
(4/5 – 21/5)
(22/5 – 7/6)
(8/6 – 21/6)
Chapter
Topic
Ch 2
Introduction to Polynomials
Ch 3
Identities
Ch 4
Formulas
1st term test
Ch 5
Linear Equations in Two Unknowns
Ch 6
Rate and Ratio
Ch 1
Approximation and Errors
Christmas Holiday
Revision
1st term examination
Chinese New Year Holiday
Ch 7
Handling Continuous Data
Ch 8
Angles in Triangles and Polygons
Ch 9
Introduction to Deductive Geometry
Ch 10
Pythagoras’ Theorem
2nd term test
Ch 11
Trigonometric Ratios
Ching Ming Festival and Easter Holiday (4/4 – 15/4)
Ch 11
Trigonometric Ratios
Ch 12
Area and Volume (II)
Ch 12
Area and Volume (II)
2nd term examination
Setter:
1st term test : Sze Siu Yu
1st term examination : Kwok Wing Fai
2nd term test : Lo Yee Ting
2nd term examination : Fung Pui Ling
Codes :
I --- I. T
C--- Civic Education
P --- Project
R --- Reading
No. of School Days
8
12
16
(total : 36)
10
11
11
(total : 32)
2
(total : 2)
12
10
6
9
(total : 37)
6
10
10
12
(total : 38)
LD---Learning Diversity
T --- Tailor
1
TEXTBOOK : New Century Mathematics (2A, 2B)
TEACHER : Lo Yee Ting, Fung Pui Ling, Sze Siu Yu, Kwok Wing Fai
Ch 2 Introduction to Polynomials
Week
1–3
Section
LearningTargets
Exercises
2.1 Index Notation
•Learn the index notation.
Ex. 2A : 3, 4, 5, 6,
7, 8, __, __
Ex. 2B 1, 2, 3, 4, 5,
6, 7, 8, 12-15,__,
__
2.2 Laws of Indices
A. Multiplication of Powers
B. Division of Powers
C. Powers of Powers
D. Powers of Products and Powers of
Quotients
2.3 Polynomials
A. Basic Knowledge about Polynomials
B. The Degree of a Polynomial
C. Arrangement of Terms of a Polynomial
D. Value of a Polynomial
• Explore the multiplication law of indices for positive integers.
•Explore the division law of indices for positive integers.
• Explore the power law of indices for positive integers.
• Explore the powers of products and quotients for positive integral indices.
• Recognize polynomial and the meaning of the terminology involved.
• Understand the degree of polynomial.
• Learn different ways to arrange the terms in polynomial.
•Learn to find the value of polynomial.
Ex. 2C 4, 5, 6, 7, 8,
9,10,__, __
2.4 Addition and Subtraction of
Polynomials
• Learn the addition and subtraction of polynomials.
Ex. 2D 1, 2, 3, 4, 5,
6, 7, 8, ,__, __
2.5 Multiplication of Polynomials
• Learn the multiplication of polynomials.
Ex. 2E 1, 3, 5, 7,
9, 11, 13,__, __
2.6 Simple Factorization of Polynomials
A. Taking out Common Factors
B. Grouping Terms
• Understand factorization as a reverse process of expansion.
• Learn the method of taking out common factors.
Ex. 2F 1, 3, 5, 7,
9, 11, 13,__, __
Remarks
I: E-book
Supp. Ex. 2
Challenging
Problems 2
Revision Test
MC(LD)
2
Ch 3
Week
3-5
Identities
Section
6-8
Exercises
3.1 Meaning of Identities
A. Meaning of
Identities and the Tests for Identities
B. Finding Unknown Constants in and
Identity
• Explore the meaning of identities.
• Distinguish between equations and identities.
•Find unknown coefficients or constants in identities.
Ex. 3A 1, 3, 5, 7,
9, 11, 13,__, __
3.2 The Difference of Two Squares
•Discover and use the difference of two squares identity.
Ex. 3B 1, 4, 7, 10,
13, 16, __, __
3.3 The Perfect Square Identities
A. Square of Sum of Two Numbers
B. Square of Difference of Two Numbers
• Discover and use the identity related to
(a + b)2.
•Discover and use the identity related to
(a − b)2.
Ex.3C 1, 3, 5, 7,
9, 11, 13, 15, 17,
__, __
Ch 4
Week
LearningTargets
Remarks
I: E-book
Workbook
2A
Supp. Ex. 3
Test Bank
(Chap. 3)
Revision Test
MC(LD)
Formulas
Section
LearningTargets
4.1 Simple Algebraic Fractions
A. Simplification of Algebraic Fractions
B. Operations on Algebraic Fractions
• Recognize and simplify simple algebraic fractions.
•Learn the operations on simple algebraic fractions.
4.2
Formulas and Substitution
• Study the meaning of formulas and the use of substitution in formulas.
Exercises
Ex.4A 1, 4, 7, 10,
13, 16, 19,__, __
Ex. 4B 1, 3, 5, 7,
9, 11, __, __
Remarks
I: E-book
Supp. Ex. 4
Challenging
Problems 4
Revision Test
MC
MC(LD)
3
4.3
Change of Subject of a Formula
Ch 5
Week
10-12
• Identify the subject of a formula and learn how to change the subject of a
formula from one variable to another variable.
Ex. 4C 1, 3, 5, 7,
9, 11, 13,__, __
Linear Equations in Two Unknowns
Section
LearningTargets
Exercises
5.1
Basic Knowledge of Linear Equations in
Two Unknowns
A. Solutions of Linear Equations in Two
Unknowns
B. Graphs of Linear Equations in Two
Unknowns
5.2 Solving Simultaneous Linear
Equations in Two Unknowns by the
Graphical Method
• Recognize linear equations in one unknown/two unknowns.
• Know how to find the solutions of linear equations in two unknowns.
•Explore and plot the graphs of linear equations in two unknowns.
Ex. 5A 2, 3, 4, 5,
__, __
• Explore the meaning of simultaneous equations.
• Learn to solve simultaneous equations by graphical method.
.
Ex. 5B 1, 2, 3, 4,
5, 6, __, __
5.3 Solving Simultaneous Linear
Equations in Two Unknowns by
Algebraic Methods
A. Method of Substitution
B. Method of Elimination
• Learn to solve simultaneous equations by method of substitution.
• Learn to solve simultaneous equations by method of elimination.
Ex.5C 1, 3, 5, 7,
9, __, __
5.4 Applications of Simultaneous Linear
Equations in Two Unknowns
•Learn to use algebraic language to formulate simultaneous equations and
solve problems.
Ex. 5D 1, 3, 5, 7,
9, __, __
Remarks
I: E-book
Supp. Ex. 5
Challenging
Problems 5
Revision Test
MC
(LD)
Ex. 5E 1, 2, 3, 4, 5,
__, __
4
Ch 6
Week
13-15
Rate and Ratio
Section
LearningTargets
6.1 Rate
•Understand the meaning of rate.
Ex. 6A 1, 2, 3, 4,
6, 7,__, __
6.2
Ratio
A. The Meaning of Ratio
B. Simplification of Ratio
C. Three-term Ratio
D. Dividing a Quantity in a Given Ratio
• Understand the meaning of ratio.
• Recognize the notation of two-term ratio a : b.
• Learn the simplification of ratio.
•Recognize the notation of three-term ratio
•Know how to divide a quantity under a given ratio.
Ex. 6B 3, 4, 5, 6,
7,__, __
6.3
Applications of Ratio
A. Similar Figures
B. Scale Drawings
Ch 1
Week
15-17
Exercises
Remarks
I: E-book
a : b : c.
• Understand the meaning of scale factor.
• Apply scale factor to solve real-life problems involving similar figures.
• Apply scale factor to solve real-life problems involving scale drawings
such as maps and plans
Ex. 6C 1, 2, 3, 4, 5,
__, __
Supp. Ex. 6
Challenging
Problems 6
Revision Test
MC (LD)
Approximation and Errors
Section
1.1 Significant Figures
A. Basic Concepts of Significant Figures
B. Round-off to Required Number of
Significant Figures
C. Using Significant Figures in Estimation
LearningTargets
Exercises
• Learn the basic concepts of significant figures.
•Learn the skills of rounding off numbers to required number of significant
figures.
•Learn how to use significant figures in estimation.
Ex. 1A 2, 3, 5, 6,
7, __, __
Remarks
I: E-book
Supp. Ex. 1
5
1.2 Approximation and Errors in
Measurement
A. The Appropriate Nature of
Measurement
B. Errors in Measurement
C. Relative Error
D. Percentage Error
Ch 7
Week
23-25
• Recognize the approximate nature of measurement.
• Learn the concept of error.
• Learn how to estimate the maximum error of a measurement.
• Understand and calculate relative error.
• Understand and calculate percentage error.
Ex. 2, 3, 4, 5,
6,__, __
Challenging
Problems 1
Revision Test
MC
(LD)
Handling Continuous Data
Section
7.1 Organization of Continuous Data
LearningTargets
• Learn how to organize a given set of continuous data.
.
Exercises
Ex. 7A 1, 2, 3, 4,
__, __
Remarks
I: E-book
T: Class 2A
7.2
A.
B.
C.
7.3
A.
B.
C.
Presentation of Continuous Data
Histogram
Frequency Polygon
Frequency Curve
Cumulative Frequency
Cumulative Frequency Table
Cumulative Frequency Polygon
Cumulative Frequency Curve
7.4 Misuses of Statistical Diagrams
A. Mislead People by Using an Improper
Scale
B. Mislead people by Covering up Parts of
Data
C. Using an Improper Statistical Diagram
• Learn to construct and interpret histogram.
• Learn to construct and interpret frequency polygon
• Learn to construct and interpret frequency curve.
Ex. 7B 1, 2, 3, 4,
__, __
• Understand and know how to construct cumulative frequency table.
• Understand, construct and interpret cumulative frequency polygon.
• Understand, construct and interpret cumulative frequency curve.
Ex. 7C 1, 2, 3, 4,
__, __
and Class 2B
will not teach
Chapter 7.4
Misuses of
Statistical
Diagrams.
Aware of the use of improper scales in statistical graphs that may cause
misinterpretation.
• Aware of statistical graphs that hide part of data to cause
misinterpretation.
•Aware of the use of improper statistical graphs that may cause
misinterpretation.
Ex. 7D 1, 2, 3, 4,
__, __
Supp. Ex. 7
Challenging
Problems 7
Revision Test
MC
(LD)
6
Ch 8
Week
25-27
Angles in Triangles and Polygons
Section
LearningTargets
Exercises
8.1
Angles and Sides of a Triangle
A. Exterior Angles of a Triangle
B. Isosceles Triangles
C. Equilateral Triangles
• Explore and use the property of exterior angles of a triangle.
• Explore and use the properties of isosceles triangles.
• Explore the conditions for a triangle to be isosceles.
• Explore and use the properties of equilateral triangles
Ex. 8A 1, 3, 5, 7, 9,
__, __
8.2
A.
B.
C.
• Explore and use the formula for the sum of the interior angles of
polygons.
• Explore and use the formula for the sum of the exterior angles of
polygons.
• Explore regular polygons that tessellate.
Ex. 8B 1, 3, 5, 7, 9,
__, __
Ex. 8C 1, 3, 5, 7, 9,
__, __
Angles of a Polygon
Sum of Interior Angles of a Polygon
Sum of Exterior Angles of a Polygon
Tessellation
Ex. 8D 1, 3, 5, 7, 9,
__, __
Ch 9
Week
27-28
Remarks
I: E-book
Supp. Ex. 8
Challenging
Problems 8
Revision Test
MC (LD)
T: T: All
students will
not teach
chapter 8.3
Introduction to Deductive Geometry
Section
9.1
Studying Geometry Using Deductive
Reasoning
A. Limitations of the Intuitive Approach
B. Deductive Approach
9.2
Deductive Approach to Properties of
Geometric Figures
A. Proving Geometric Properties Relating
to Intersecting and Parallel Lines
B. Proving Geometric Properties Relating
to Triangles
LearningTargets
Exercises
Remarks
• Recognize the limitations of the intuitive approach in learning geometry.
• Learn the basic concept of deductive approach.
Ex. 9 1, 2, 3, 4, __,
___
T: Class 2A
2B will not
teach
this
topic
•• Prove geometric properties related to intersecting lines and parallel
lines by the deductive approach.
• Prove geometric properties related to triangles by the deductive
approach. (T)
Ex. 9 6, 7, 8, 9, __ ,
__
I: E-book
Supp. Ex. 9
Challenging
Problems 9
Revision Test
MC
(LD)
7
Ch 10
Week
29-30
Pythagoras’ Theorem
Section
10.1 Square Roots
A. Introduction to Square Roots
B. Finding the Values of Square Roots
Using a Calculator
10.2 Pythagoras’ Theorem and Its
Applications
A. Introduction to Pythagoras’ Theorem
B. Applications of Pythagoras’ Theorem
C. The Beauty of Mathematics: The
Discovery and Proofs of Pythagoras’
Theorem
LearningTargets
Exercises
• Learn the meaning of square root and the method to represent square
root.
• Learn to use a calculator to obtain square roots of a number.
Ex.10A 4, 5, 6, 7,
8, 9, __, __
• Explore the relations between the three sides of a right-angled triangle.
• Introduce Pythagoras’ theorem and its simple application.
• Learn applications of Pythagoras’ theorem on simple geometric figures.
Use Pythagoras’ theorem to solve real-life problems involving lengths of
sides of right-angled triangles.
•
Appreciate different proofs of Pythagoras’ theorem including those
from ancient China.
Ex. 10B 3, 4, 5, 6,
7, 8, 9, __, __
10.3 Converse of Pythagoras’ Theorem and
Its Applications
•Learn the converse of Pythagoras’ theorem and use it to solve problems.
Ex. 10C 3, 4, 5, 6,
7, 8, 9, __, __
10.4 Rational Numbers and Irrational
Numbers
A. Integers, Fractions and Decimals
B. Irrational Numbers
C. Representation of Rational and
Irrational Numbers on a Number Line
• Revise the concepts of integers, fractions and decimals.
•Introduce the concept of rational numbers.
•Recognize the existence of irrational numbers and surds.
• Explore how to represent rational numbers and irrational numbers on the
number line.
Ex. 10D 1, 2, 3, 4,
5, 6, 7, 8, 9, 10,
__, __
10.5 Operations of Surds
A.
Simplification of Surds
B.
Addition, Subtraction and
Multiplication of Surds
C.
Division of Surds
•
•
•
•
•
•
Understand the meaning of surds as irrational numbers.
Learn the rules for multiplying surds.
Understand how to express a given surd in its simplest form.
Learn the addition and subtraction of surds.
Learn the multiplication of surds.
Learn the division of surds.
Remarks
I: E-book
Supp. Ex. 10
T: All
students will
not teach
chapter
10.4C
Challenging
Problems 10
Revision Test
MC
(LD)
Ex. 10E 4, 5, 6, 7,
8, 9, __, __
•
Learn how to rationalize the denominators of the form a .
•
Learn the mixed operations of surds involving multiplication and
division.
8
Ch 11
Week
31-35
Trigonometric Ratios
Section
LearningTargets
Exercises
11.1 Concepts of Trigonometric Ratios
•Recognize trigonometry and some related basic terms.
Ex.11A 4, 5, 6, 7,
8, 9, __, __
11.2 The Sine Ratio
A. Ratio of Opposite Side to Hypotenuse
B. Using a Calculator to Find sin 
C. Finding Angle  from sin 
D. Simple Applications of the Sine Ratio
• Understand the sine ratio for angles between 0° and 90°.
•Learn to find the sine ratio of an acute angle in a right-angled triangle.
•Learn how to use a calculator to find sin 
• Learn how to find the angle  from given
sin  .
•Study some simple applications of the sine ratio.
• Understand the cosine ratio for angles between 0° and 90°.
• Learn to find the cosine ratio of an acute angle in a right-angled triangle.
•Learn how to use a calculator to find cos  or the corresponding angle  .
• Study some simple applications of the cosine ratio.
Ex. 11B 1, 2, 3, 4,
5, 6, __, __
• Understand the tangent ratio for angles between 0° and 90°.
•Learn to find the tangent ratio of an acute angle in a right-angled triangle
•Learn how to use a calculator to find tan  or the corresponding angle  .
•Study some simple applications of the tangent ratio.
Ex. 11D 1, 2, 3, 4,
5, 6, __, __
11.3 The Cosine Ratio
A. Ratio of Adjacent Side to Hypotenuse
B. Using a Calculator to Find cos or
the Corresponding Angle 
C. Simple Applications of the Cosine
Ratio
11.4 The Tangent Ratio
A. Ratio of Opposite
Side to Adjacent Side
B. Using a Calculator to Find tan  or
the Corresponding Angle 
C. Simple Applications of the Tangent
Ratio
11.5 Applications of Trigonometric Ratios
A. Solving Problems Involving Plane
Figures
B. Solving Real-life Problems
11.6 Trigonometric Ratios of Some Special
Angles
11.7 Using Pythagoras’ Theorem to Find
Trigonometric Ratios
Ex. 11C 1, 2, 3, 4,
5, 6, __, __
• Learn to apply the sine ratio, cosine ratio and tangent ratio to find
unknowns in plane figures.
• Learn to apply the trigonometric ratios to solve real-life problems
Ex. 11E 1, 2, 3, 4,
5, 6, __, __
• Explore the exact values of trigonometric ratios of the special angles 30°,
45° and 60°.
Ex. 11F 1, 2, 3, 4,
5, 6, __, __
• Find trigonometric ratios of any acute angle by means of Pythagoras’
theorem.
Ex. 11H 1, 2, 3, 4,
5, 6, __, __
Remarks
I: E-book
Supp. Ex. 11
Challenging
Problems 11
Revision Test
MC (LD)
T: Class 2A
2B students
will
not
teach
chapter
11.8D
9
11.8 Basic Knowledge of Trigonometric
Identities
A. Ratio of sin  to cos 
B. Sum of Squares of sin  and cos 
C. Trigonometric Ratios of
Complementary Angles
Ch 12
Week
35-41
• Learn and use the identity tan  
sin 
.
cos
Ex. 11I 1, 2, 3, 4, 5,
6, __, __
• Learn and use the identity
sin 2   cos2   1.
• Learn the relations between trigonometric ratios of complementary
angles
Area and Volume (II)
Section
12.1 Circles
A. Review on Circumference of a Circle
B. Area of a Circle
12.2 Arcs and Sectors
A. Length of an Arc
B. Area of a Sector
12.3 Cylinders
A. Surface Area of a Cylinder
B. Volume of a Cylinder
LearningTargets
• Calculate the circumference of a circle.
• Explore and use the formula for the area of a circle.
Exercises
Ex. 12A 1, 2, 3, 4,
5, 6, 7,__, __
•Find any trigonometric ratio between 0° and 90° by means of Pythagoras’
theorem..
Ex. 12B 1, 2, 3, 4,
5, 6, 7,__, __
• Understand and use the formula for the surface area of a cylinder.
•Understand and use the formula for the volume of a cylinder.
Ex.12C 1, 2, 3, 4,
5, 6, __, __
Remarks
I: E-book
Supp. Ex. 12
Challenging
Problems 12
Revision Test
MC (LD)
10