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LIU PO SHAN MEMORIAL COLLEGE
S. 1 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 – 29 (2/3 – 16/3)
30
(19/3 – 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)
Setters:
1st term test : Chan Yuen Man
1st term examination : Lo Chun Sing
2nd term test : Chan Yuen Man
2nd term examination : Lo Yee Ting
Chapter
Topic
Ch 0
Basic Mathematics
Ch 1
Directed Numbers
Ch 2
Using Algebra to Solve Problems (I)
1st term test
Ch 4
Using Algebra to Solve Problems (II)
Ch 5
Estimation in Numbers and Measurement
Ch 6
Introduction to Geometry
Christmas Holiday
Revision
1st term examination
Chinese New Year Holiday
Ch 3
Percentages (I)
Ch 7
Area and Volume (I)
Ch 8
Introduction to Coordinates
Ch 9.1
Symmetry and Transformation
2nd term test
Ch 9.2-9.3
Symmetry and Transformation
Ching Ming Festival and Easter Holiday (4/4 – 15/4)
Ch 10
Angles in Intersecting and Parallel Lines
Ch 11
Congruence and Similarity
Ch 12
Introduction to Statistics
nd
2 term examination
No. of School Days
8
12
16
(total : 36)
10
11
11
(total : 32)
2
(total : 2)
12
10
10
4
(total : 36)
6
10
10
12
(total : 38)
Codes :
I --- I. T.
C--- Civic Education
P --- Project
R --- Reading
LD --- Learning Diversity
1
Liu Po Shan Memorial College
S. 1 Mathematics Teaching Schedule (2011 – 2012)
TEXTBOOK : New Century Mathematics (1A, 1B)
TEACHER : Lo Chun Sing, Lo Yee Ting, Chan Yuen Man (Form Coordinator)
Ch 0 Basic Mathematics
Week
1–3
Section
0.1 Types of Numbers
LearningTargets
•Recognize the three types of numbers: natural numbers, even
Remarks
I : E-book
numbers and odd numbers.
Ex. I : 1 , 5, 7 , 9 ,12,
__, __
0.2 The Four Fundamental Arithmetic
(2/9 –
14/9)
Exercises
Operations
A.
The Results of Operations
B.
Brackets
R: p.2
Our
Legendary
Mathematicians
•Perform calculations involving the four fundamental arithmetic
operations.
Revision Test
• Perform calculations involving brackets.
0.3 Multiples and Factors
Ex. II : 3, 5, 8-11, 13,
Ch 0
A.
Multiples
•Revise the concept of multiples.
__, __
B.
Factors
•Revise the concept of factors.
C.
Prime Numbers and Prime Factors
•Understand the concepts of prime numbers and prime factors.
LD: p.31
D.
Index Notation
•Learn the use of index notation.
Challenging
E.
H.C.F. and L.C.M.
•Learn how to find H.C.F. and L.C.M. from products of prime
Problems
factors.
0.4 Fractions
A.
Introduction
B.
Simplifying Fractions
Ex III : 1 , 2 , 4, 13, 17,
•Revise the concept of fraction, types of fractions and some
__ , __
are there 60
related terms.
min in an hr,
•Revise the idea of equal fractions and know how to reduce a
C.
Operations with Fractions
60 sec in a
fraction to its simplest form.
min?
•Perform calculations involving different types of fractions.
Overall revision
R : p. 32 Why
Checkpoint
Supp Ex. 0 : 12, 16, __,
2
Ch 1 Directed Numbers
Week
3–5
(15/9 –
30/9)
Section
1.0 Pre-learning
1.1
Learning Targets
Exercises
•Revise how to compare the values of numbers.
The Concept and Applications of
Remarks
I: E-book
Ex. 1A : 3, 4, 5,
Directed Numbers
7, 8, 10, __, __
I : ETV
A.
Applications of Directed Numbers
• Understand intuitively the concept and applications of directed numbers.
(Directed
B.
Arrangement of Directed Numbers
• Master the idea of arranging directed numbers in order on the number
Numbers)
on the Number Line
line.
1.2 Addition and Subtraction of
Ex. 1B : 4, 9, 15,
Directed Numbers
A. Addition of Directed Numbers on a
16, 17, 20, __,
•Explore and discuss the addition of directed numbers using a number line.
__
Number Line
B. Subtraction of Directed Numbers
on a Number Line
C. Addition and Subtraction of
Directed Numbers by Removing
•Explore and discuss the subtraction of directed numbers using a number
Revision Test
line.
Ch 1
•Learn to use the four rules for removing brackets to perform addition and
subtraction of directed numbers.
Brackets
1.3 Multiplication and Division of
Ex. 1C : 17-21,
Directed Numbers
A.
Multiplication of Directed
22, __, __
•Explore and discuss the division of directed numbers.
B.
Division of Directed Numbers
•Learn how to use a calculator to perform mixed operations of directed
C.
Mixed Operations of Directed
R : p.76
numbers.
Application of
Numbers Using a Calculator
Overall Revision
Challenging
Problems
•Explore and discuss the multiplication of directed numbers.
Numbers
LD : p.74
Checkpoint
Directed
Supp. Ex. 1 1, 6,
Numbers in
8, 18, 19, 21,
Accounting
27, ___, ___
3
Ch 2 Using Algebra to Solve Problems (I)
Week
6–8
Section
2.1
Learning Targets
Introduction to Algebra
A. Using Letters to Represent Numbers
•Recognize and appreciate the use of letters to represent numbers.
arithmetic.
Terms of Algebraic Expressions
Ex. 2A : 1-6,
13-21, 26, 28,
___, ___
•Recognize the meanings of term in an algebraic expression, the constant
Combining Like Terms
R : p. 82
Our :Legendary
term, like terms and unlike terms.
C.
Remarks
I: E-book
•Know the differences between the language of algebra and the language of
(3/10 –
26/10)
B.
Exercises
Mathematicians
•Learn to combine like terms.
2.2 Algebraic Equations
Ex. 2B : 1-3,
A.
Formulating Algebraic Equations
•Know how to formulate algebraic equations to solve problems.
15-18, 25, 27,
B.
Properties of Equations
•Recognize the general properties of equations.
__, __
C.
Solving Simple Equations
• Learn to solve algebraic equations by the method of guessing and checking.
• Learn to solve algebraic equations using the technique of transposing terms.
• Learn to solve algebraic equations using the technique of converting
multiplication/ division operation.
D.
Solving More Complicated
Equations
• Learn to solve algebraic equations using the technique of combining like
terms.
Ex .2C : 1, 4,
Revision Test
10, 13, 18,
Ch 2
• Learn to solve algebraic equations using the technique of removing brackets.
20, 21, 25,
•Learn to solve algebraic equations using the technique of cancelling
__, __
denominators.
2.3
Formulating Equation to Solve
Problems
Overall Revision
• Learn the steps of formulating and solving algebraic equations.
Ex .2D : 1, 4, 8,
9, 13, 21, __,
__
LD : p.121
Challenging
Problems
Checkpoint,
Supp. Ex.2 :
15, 16, 20,.
__, __
4
Ch 4 Using Algebra to Solve Problems (II)
Week
110 – 12
(3/11 –
Section
4.1
Formulae
4.2 Inequalities
Learning Targets
Exercises
• Recognize some common formulae that can be expressed in algebraic form.
Ex. 4A : (1-4, 7,
• Recognize the subject of a formula.
13, 15, 22, 25, __,
• Learn the method of substitution.
__
•Know how to set up simple inequalities to solve problems.
Ex. 4B : 3, 4, 5 , 8,
12, __, __
16/11)
4.3 Sequences
4.4 Introduction to Functions
• Recognize sequences, terms and number patterns.
Ex. 4C : 4, 8, 10,
•Recognize the general term and use it to describe a sequence.
17, 19, __, __,
•Obtain a preliminary idea of function.
Ex. 4D : 4, 10, 11,
Remarks
I : E-book
R : p.200
Interesting
Sequence
Revision Test
Ch 4
15 __, __
Overall Revision
Checkpoint
Supp. Ex. 4 : 4,
7,10, 18, 21, __,
LD : p.211
Challenging
Problems
__
R : p212
A sequence
Related to the
Study of
Biological
Reproduction
5
Ch 5 Estimation in Numbers and Measurement
Week
13 – 15
Section
5.0
Pre-learning
Learning Targets
Exercises
Remarks
•Revise the basic knowledge of approximate values and the rule for rounding
off.
(17/11 – 5.1 Estimation in Numbers
A. The Significance of Estimation
6/12)
B.
The Means of Getting Approximate
Ex. 5A :1, 6-11,
• Recognize when estimation is needed in daily lives.
•Learn the means of getting an approximate value of a number.
I : ETV (Estimation
Value
C.
Estimation Strategies
in Measurement)
• Learn the estimation strategies.
• Select and use different estimation strategies to estimate the values of
R : p.220 Our
numerical expressions.
D.
The Applications of Estimation
Legendary
•Learn the applications of estimation in daily life.
Mathematicians
•Appreciate the efforts of some past attempts to estimate the value of .
5.2 Estimation in Measurement
A.
Direct Measurement
B.
Indirect Measurement
Ex. 5B : 2, 4, 5,
Revision Test
8, 12, __, __
Ch 5
•Choose appropriate measuring tools and units.
•Learn the methods of reducing errors.
• Recognize the need of estimation in measurement.
LD : p.255
•Understand the benchmark strategy as an estimation strategy in measurement.
Challenging
•Understand the decomposition- recomposition strategy as an estimation
Problems
strategy in measurement.
• Understand combining a group of small objects as an estimation strategy in
R : p256
measurement.
The Unit used for
• Understand using formulae as an estimation strategy in measurement.
Overall Revision
I : E-book
16, 24, __, __
Measuring
Checkpoint
the
Weight of Papers
Supp. Ex. 5 : 8,
10, 12, __, __
6
Ch 6 Introduction to Geometry
Section
Week
15 – 17
(7/12 –
21/12)
Learning Targets
Exercises
•Revise some basic knowledge about angles.
Remarks
6.0
Pre-Learning
I : E-book
6.1
Basic Geometric Concepts
A.
Points, Lines and Planes
• Recognize points, lines and planes.
9, 10, 13, __,
I : ETV
B.
Angles
• Recognize angles and their notations.
__
(Introduction
Ex. 6A : 1, 4, 5,
to Geometry)
• Know how to distinguish different types of angles.
C.
Parallel and Perpendicular
• Recognize parallel lines, their notations and * the method of construction.(LD)
Lines
• Recognize perpendicular lines, their notations and* the method of construction. (LD).
6.2 Plane Figures
A.
Circles
R : p.264 Our
Ex. 6B : 7, 9, 17,
• Recognize circles and the related terms.
19, 23, __, __
Legendary
Mathematicia
ns
• *Learn to construct circles and arcs. (LD)
• Recognize triangles and their notations.
B.
Triangles
• Know how to distinguish different types of triangles.
• Learn the angle sum of a triangle.
•*Learn to construct a triangle according to given conditions. (LD)
C.
Polygons
• Recognize and distinguish different types of polygons.
6.3
Solid Figures
A.
Introduction to Solid Figures
B.
Euler’s
Formula
C.
Two-dimensional (2-D)
Ex. 6C : 5-10,
•Recognize simple solids.
12, 14, 17, __,
•Explore an important property of polyhedra Euler’s Formula.
__
Revision Test
Ch 6
•Learn to sketch the two-dimensional representations of simple solids.
Representations of Simple
LD : p. 317
Solids
D.
Cross-sections
•Learn to draw the cross-sections of simple solids.
Making models
E.
Nets for Polyhedra
•Explore the method of making models of polyhedra.
of polyhedra
Challenging
Problems
*
7
Section
Week
Learning Targets
Overall Revision
Exercises
Remarks
Checkpoint
R : p318
Supp. Ex. 6 :
Geometry and
9, 12, 15, __, __
Design
Ch 3 Percentages (I)
Week
23 – 25
(1/2 –
16/2)
Section
3.0
Pre-learning
Learning Targets
Exercises
•Revise the basic knowledge of percentage.
3.1 Simple Problems Involving
Remarks
I: E-book
Ex. 3A : 2, 6, 13,
Percentages
20, __, __
A.
Using Percentage to Find a Number
•Learn how to find a number from a given percentage.
B.
Finding the Percentage
•Learn to compare two quantities by using percentages.
C.
Finding the Original Number from
•Learn how to find the original number from a given percentage.
I : ETV
(Percentages)
a Given Percentage
3.2 Percentage Change
Ex. 3B : 1-4, 9,
A.
Percentage Increase
•Understand and solve problems involving percentage increase.
B.
Percentage Decrease
•Understand and solve problems involving percentage decrease.
Revision Test
C.
Percentage Change
•Understand and solve problems involving percentage change.
Ch 3
3.3
Profit and Loss
Ex. 3C : 1, 5, 7,
A.
Profit
• Understand and solve problems involving profit per cent.
B.
Loss
• Understand and solve problems involving loss per cent.
3.4 Discount
• Understand the meaning of discount and solve daily problems on
discount.
3.5 Simple Interest
14 29, 23, __, __
•Apply percentages to solve problems on simple interest.
13, 17, 24, __, __
LD : p.177
Challenging
Problems
Ex. 3D : 3-6, 13,
15, 20, __, __
Ex. 3E : 2,-6, 8
R : p.178 Another
Way to Request
12, 15, 17,__, __
8
Week
Section
Learning Targets
Overall Revision
Exercises
Checkpoint
Remarks
Discount
Supp. Ex. 3 : 5, 7,
10, 13 22, 24,
28, 32, __, __
Chapter 7 Area and Volume (I)
Week
25 – 27
Section
7.0 Pre-Learning
Learning Targets
I : E-book & ETV
• Revise the formulae for the areas of simple plane figures and the volumes of
(Volumes and
simple solids.
(17/2 –
1/3)
Remarks
Exercises
Surface Areas of
7.1 Review on Areas of Simple
Polygons
7.2
Ex. 7A : 6, 8, 14,
• Learn the different methods to find areas of simple polygons.
Total Surface Areas and Volumes
Ex. 7B : 5, 10,14,
of Prisms
17, 20, __, __
A.
Prisms
• Recognize different types of prisms, including cubes and cuboids.
B.
Total Surface Areas of Prisms
• Understand and apply the formula for the total surface areas of prisms.
C.
Volumes of Prisms
• Understand and apply the formula for the volumes of prisms.
Overall Revision
Prisms)
21, __, __
R : p.4
Our
Legendary
Mathematicians
Revision Test
Checkpoint
Ch 7
Supp. Ex. 7 : 5,
10, 16, 19, __, __
LD : p. 31
Challenging
Problems
R : p. 32 The Gift of
River Nile
9
Chapter 8 Introduction to Coordinates
Week
27 – 29
(2/3 –
16/3)
Section
8.0 Pre-Learning
Learning Targets
• Revise the basic knowledge of a number line.
8.1
Rectangular Coordinate System
A.
Introduction to Coordinate System
• Study the concept of coordinate system.
B.
Rectangular Coordinate Plane
• Understand and use the rectangular coordinate system to describe positions of
Remarks
Exercises
I : E-book
Ex. 8A : 1, 2, 7,
11, 15, __, __
R : p39
Our
Legendary
Mathematicians
points in a plane.
• Locate a point in the rectangular coordinate system from its ordered pair.
8.2
Lengths of the Line Segments in
Ex. 8B : 1, 5, 7,
the Rectangular Coordinate
10, 15, 17, __, __
Ch 8
System
A.
Lengths of Horizontal Line
Revision Test
•Learn to calculate the distance between two points on a horizontal line.
Segments
B. Lengths of Vertical Line Segments
LD : p. 83
•Learn to calculate the distance between two points on a vertical line.
Challenging
8.3 Areas of Plane Figures in the
• Learn to calculate the areas of figures in the rectangular coordinate plane.
Rectangular Coordinate System
8.4
Polar Coordinates
A.
Introduction to Polar Coordinates
Ex. 8C : 4, 11, 16,
17, __, __
Ex. 8D : 1, 3, 5, 6,
• Understand and use the polar coordinate system to describe positions of points in
__, __
Comparison between Rectangular
Arrange Patterns
• Compare the rectangular coordinate system with the polar coordinate system.
when using
and Polar Coordinates
Overall Revision
R : p. 84 Use
Coordinates to
a plane.
B.
Problems
Checkpoint
Powerpoint
Supp. Ex. 8 : 5, 8,
9, 15, __, __
10
Chapter 9 Symmetry and Transformation
Week
30
(19/3 –
22/3)
Section
9.0 Pre-Learning
Learning Targets
• Revise the concept of symmetry.
9.1 Symmetry
A.
• Recognize reflectional symmetry in plane figures.
11, 12, __, __
Symmetry
B.
I:
Ex. 9A : 2, 5, 8,
Figures that have Reflectional
(30/3 –
18/4)
E-book
I : ETV
(Transformation
and Symmetry)
Figures that have Rotational
• Recognize rotational symmetry in plane figures.
Symmetry
30 – 34
Remarks
Exercises
R : .91
Our
9.2 Transformation
• Learn the concept of transformation.
Ex. 9B : 1, 2, 7, 9,
Legendary
A.
Reflection
• Recognize the effect of reflection on plane figures.
12, 15, __, __
Mathematicians
B.
Rotation
• Recognize the effect of rotation on plane figures.
C.
Translation
• Recognize the effect of translation on plane figures.
Revision Test
D.
Enlargement/
• Recognize the effect of enlargement or reduction on plane figures.
Ch 9
Reduction
9.3 Transformations in a Rectangular
Ex. 9C : 3, 6, 12,
LD : p. 141
16, __, __
Challenging
Coordinate Plane
A.
Translation
• Describe intuitively the effects of translation on points in a coordinate plane.
B.
Reflection
• Describe intuitively the effects of reflection on points in a coordinate plane.
C.
Rotation
• Describe intuitively the effects of rotation on points in a coordinate plane.
Overall Revision
Problems
R : p. 142 The Art
Checkpoint
of Symmetrical
Supp. Ex. 9 : 3, 4,
Paper Cutting (C )
9, 13, 15, __, __
11
Chapter 10 Angles in Intersecting and Parallel Lines
Week
34 – 35
Section
10.0 Pre-Learning
Learning Targets
Exercises
• Revise the knowledge on classification of angles, relations between straight lines,
Remarks
I : E-book
and angle sum of a triangle.
(19/4 –
3/5)
10.1
Angles Relating to Intersecting
Ex. 10A : 4, 14,
Lines
A.
Angles at a Point
• Recognize angles at a point.
Explore and use the property of these angles.
B.
Adjacent Angles on a Straight Line
• Recognize adjacent angles on a straight line.
Explore and use the property of
18, 24, 27, 29,
R : p.156
Our
Legendary
Mathematicians
__, __
these angles.
C.
Vertically Opposite Angles
• Recognize vertically opposite angles.
Explore and use the property of these
Revision Test
angles.
Ch 10
10.2 Angles Relating to Parallel Lines
A.
Angles Formed by Two Lines and
a Transversal
B.
Angles Formed by Parallel Lines
and a Transversal
Ex. 10B : 7, 12,
• Recognize angles associated with a transversal: corresponding angles, alternate
angles and interior angles on the same side of the transversal.
• Explore and use the properties of angles associated with parallel lines and their
19, 23, 26, 28,
LD
: p. 197
__, __
Challenging
transversals (corresponding angles, alternate angles and interior angles on the
Problems
same side of the transversal).
10.3 *Conditions for Parallel Lines
• *Explore and use the conditions for parallel lines. (LD)
*Ex. 10C
(LD)
*R : p. 198
(LD)
Overall Revision
Checkpoint
Supp. Ex. 10 : 7,
Drawing Parallel
Lines (LD)
10, 14, 21, __, __
12
Chapter 11 Congruence and Similarity
Week
35 – 39
(4/5 –
21/5)
Section
Learning Targets
11.1 The Meaning of Congruence
Exercises
Ex. 11A : 2, 3, 6,
A.
Congruent Figures
• Recognize congruent figures.
B.
Transformation and Congruence
• Explore the relationship between transformation and congruence.
C.
Congruent Triangles
• Recognize the properties of congruent triangles.
Remarks
E-book
11, 14, 18, __, __
R : p.204
Our
Legendary
11.2 Conditions for Triangles to be
Ex. 11B : 6, 12,
Congruent
Mathematicians
18, 21, 24, __, __
A.
Three Sides Equal
• Learn to use the condition SSS to identify whether two triangles are congruent.
B.
Two Sides and the Included
• Learn to use the condition SAS to identify whether two triangles are congruent.
Revision Test
Ch 11
Angle Equal
C.
Two Angles and One Side Equal
• Learn to use the conditions ASA and AAS to identify whether two triangles are
LD : p. 253
congruent.
D.
Right Angle, Hypotenuse and
• Learn to use the condition RHS to identify whether two triangles are congruent.
One Side Equal
• Learn the conditions for fixing a triangle.
Challenging
Problems
11.3 The Meaning of Similarity
• Recognize similar figures.
Ex. 11C : 5, 8, 11,
R : p. 254
A.
Similar Figures
• Relate the idea of transformation to similar figures.
13, __, __
Artwork Formed
B.
Similar Triangles
• Recognize the properties of similar triangles.
11.4
by Congruent
Conditions for Triangles to be
Ex.11D : 7, 8, 9,
Similar
11, 13, __, __
A.
Three Angles Equal
• Learn to use the condition AAA to identify whether two triangles are similar.
B.
Three Sides Proportional
• Learn to use the condition 3 sides proportional to identify whether two triangles
Figures
are similar.
C.
Two Sides Proportional and the
Included Angle Equal
• Learn to use the condition ratio of 2 sides, inc. to identify whether two triangles
are similar.
13
Overall Revision
Checkpoint
Supp. Ex. 11 : 8,
9, 14, 18, __, __
Chapter 12 Introduction to Statistics
Week
Section
38 – 41
12.1 Different Stages of Statistics
(22/5 –
75/6)
12.2
Learning Targets
Remarks
• Recognize various stages involved in statistical surveys.
Collection of Data and their
E-book
Ex. 12A : 1, 2, 4,
Classifications
6, __, __
A.
Collection of Data
• Learn different methods of collecting data.
B.
Classification of Data
• Understand the existence of different types of data.
12.3 Organization of Data
Exercises
Legendary
Mathematicians
• Learn how to organize a given set of discrete data.
Ex.12B : 2, 4, 6,
• Understand the criteria of organizing data.
__, __
12.4 Presentation and Analysis of
R : p.260 Our
:
Ex. 12C : 1, 3, 5,
Data
6, 8, __, __
A.
Pie Charts
• Learn to construct and interpret pie charts.
B.
Broken Line Graphs
• Learn to construct and interpret broken line graphs.
C.
Stem-and-leaf Diagrams
• Learn to construct and interpret stem-and-leaf diagrams and back-to-back
D.
Scatter Diagrams
stem-and-leaf diagrams.
Revision Test
Ch 12
Ex. 12D : 2, 4, 5,
6, __, __
• Learn to construct and interpret scatter diagrams.
14
12.5 Uses and Misuses of Statistical
Diagrams
A.
Choosing Suitable Statistical
Ex. 12E : 1, 2, 4,
LD : p.330
5, 9, __, __
Challenging
• Learn how to choose suitable statistical diagrams to present data.
Problems
Diagrams
B.
Misuses of Statistical Diagrams
• Identify sources of deception in statistical diagrams that tend to be misleading
C : Cultivate
and recognize the dangers of misinterpreting statistical data.
Overall Revision
critical thinking
Checkpoint
Supp. Ex. 12 : 1,
2, 7, 12, 15, __,
__
on statistical
diagrams present
in the mass
media
R : p. 332 The
Census
15