**LIU PO SHAN MEMORIAL COLLEGE**

**S. 1 MATHEMATICS TEACHING SCHEDULE (2016– 2017)**

**No. of School Days**

2 – 3 / 5/9 – 15/9 / Chapter 1 Directed Numbers / 9

4– 5 / 19/9 – 29/9 / Chapter 2 Introduction to Algebra / 9

5 – 8 / 30/9 – 21/10 / Chapter 3 Simple Equations / 14 (Total: 32)

9 / 24/10 – 26/10 /

**First Term Test**

9 – 12 / 27/10 – 15/11 / Chapter 4 Introduction to Geometry / 10

12 – 14 / 16/11 – 2/12 / Chapter 7 Symmetry and Transformation / 11

15 – 17 / 5/12 – 20/12 / Chapter 5 Areas and Volumes / 12 (Total: 33)

17 – 19 / 22/12 – 2/1 / Christmas Holiday

19 – 20 / 2/1 – 12/1 /

**First Term Examination**

20 – 22 / 13/1 – 24/1 / Chapter 6.1 – 6.2 Percentages / 8

22 – 23 / 25/1 – 3/2 / Chinese New Year Holiday

24 – 25 / 6/2 – 15/2 / Chapter 6.3 – 6.4 Percentages / 8

25– 28 / 16/2 – 7/3 / Chapter 8 Introduction to Coordinates / 13

28 – 30 / 8/3 – 21/3 / Chapter 11 Estimation and Approximation / 9 (Total: 38)

30 – 31 / 23/3 – 28/3 /

**Second Term Test**

31 – 32 / 29/3 – 7/4 / Chapter 10.1 – 6.2 Angles in Rectilinear Figures / 7

33 – 34 / 10/4 – 18/4 / Easter Holiday

34 – 35 / 19/4 – 25/4 / Chapter 10.3 Angles in Rectilinear Figures / 5

35 – 37 / 26/4 – 12/5 / Chapter 9 Polynomials / 11

38 – 40 / 15/5 – 2/6 / Chapter 12 Statistical Graphs / 12 (Total: 35)

40 – 43 / 6/6 – 19/6 /

**Final Examination**

Setters:

First term test : Chan Yuen Man

First term examination : Lau Chun Kin

Second term test : Chan Yuen Man

Final examination : Kwok Wing Fai / Codes :

I --- I. T.

C --- Civic Education

E --- E-learning

P --- Project

R --- Reading

S --- STEM Education

LD --- Learning Diversity

CLP --- Career Life Planning

**Liu Po Shan Memorial College**

**S. 1 Mathematics Teaching Schedule (2016 – 2017)**

TEXTBOOK: Effective Learning Mathematics (1A, 1B) FORM COORDINATOR : Chan Yuen Man

TEACHER: Lau Chun Kin (1A), Chan Yuen Man (1B), Chan Yuen Man (1C), Kwok Wing Fai (1D)

**Chapter 1 Directed Numbers**

**Learning Targets**/ Exercises / Remarks /

2 – 3 /

**Fun in Math, Quick Review**/ •Stimulate learning motivation.

•Do a revision on the basic knowledge and techniques required for this chapter. / I: E-book

LD: p.1.47

Investigation

Zone

**1.1 Directed Numbers**

**A. Positive and negative numbers**

**B. The number line**

**C. Ordering on the number line**/ •Identify the numbers with opposite meanings.

•Learn the concept and the usage of positive and negative numbers.

•Locate the positive and negative numbers on a number line.

•Learn the order of directed numbers on a number line. / Ex. 1A : 1, 2, 5, 7, 9, , 12(a), 13(a), 15, 16, __, __, (__, __)

**1.2 Addition and Subtraction of Directed Numbers**

A. Using the number line

B. Removing brackets / • Perform addition and subtraction of directed numbers with the help of a number line.

•Master the rules for removing brackets.

•Use addition and subtraction of directed numbers to solve problems. / Ex. 1B : 2, 4, 6, 9, 11, 12, 15, 19, 23, 24, __, __, (__, __)

1.3 Multiplication and Division of Directed Numbers

A. Multiplication of directed numbers

B. Division of directed numbers / • Understand and master the rules for multiplication and division of directed numbers.

•Master more complicated arithmetic operations on directed numbers. / Ex. 1C : 6, 8, 9, 13, 17, 20, 22, 23,__, __, (__, __)

Chapter 2 Introduction to Algebra

Week / Section / Learning Targets / Exercises / Remarks /4 – 5 / Fun in Math / •Stimulate learning motivation. / I: E-book

R: p.2.25 Math History

LD : p.2.26 Stop & Think

LD: p.2.42

Investigation Zone

2.1 Understanding Algebra

A. Introduction

B. Algebraic notations and operations / • Study the use of algebraic language and understand its advantages.

• Represent word phrases by algebraic expressions or describe algebraic expressions by word phrases.

• Learn the basic operations of algebraic expressions. / Ex. 2A : 2, 4, 6, 8, 10, 13, 16, 21, 22, 23, 25, __, __, (__, __)

2.2 Substitution and Formulae / •Understand that a formula is an equality using letters to describe the

relation among different variables.

•Use substitution to find the unknown in a formula. / Ex. 2B : 3, 4,

7, 8, 10, 12,

15, 16, 21,

22, 23, __, __,

(__, __)

2.3 Sequences

A. Introduction

B. Some common sequences / • Find the patterns of simple sequences.

•Understand that the pattern of a sequence can be obtained by different methods with the same result.

•Learn the features of some simple sequences.

e.g. Square sequence, triangular sequence, arithmetic sequence and geometric sequence. / Ex .2C : 2, 6-11, __, __, (__, __)

2.4 The nth Term of a Sequence / •Investigate the nth term of a sequence and express it in algebraic expression.

•Write down the terms of the sequence by using the algebraic expression of

the nth term of the sequence. / Ex .2D : 1-4, 6, 7

__, __, (__)

Chapter 3 Simple Equations

Week / Section / Learning Targets / Exercises / Remarks /1

5 – 8

/ Fun in Math, Quick Review / •Stimulate learning motivation.

•Do a revision on the basic knowledge and techniques required for this chapter. / I: E-book

LD : p.3.30 Investigation Zone /

3.1 Equations

A. Concept of equation

B. Basic techniques for solving equation / • Learn the concepts and the basic techniques for solving equations. / Ex. 3A : 3, 5, 9, 11, 17, 20, 24, 27, 34

__, __, (__, __)

3.2 More about Solving Equations

A. Combining unknowns

B. Removing brackets

C. Eliminating denominators / •Learn more techniques for solving equations. / Ex. 3B : 5, 9, 12, 17, 21, 22, 23, 26,

29, 31, __, __,

(__, __)

3.3 Applications of Equations

A. Setting up equations

B. Solving problems by using

equations / •Strengthen the techniques of turning problems into equations.

•Revise the process of using equations to solve problems. / Ex. 3C : 2, 5, 7, 9, 10,

12, 14, 16, 20,

__, __, (__, __)

Chapter 4 Introduction to Geometry

Week / Section / Learning Targets / Exercises / Remarks /9 – 12 / Fun in Math / •Stimulate learning motivation. / I: E-book

I: Use

Geogebra

4.1 Points and Lines

A. Points

B. Lines and curves / • Learn the concepts and presentation of ‘points’ and ‘lines’.

•Understand the differences between ‘lines’, ‘rays’ and ‘line segments’.

4.2 Angles

A. Angles and naming angles

B. Unit of angles

C. Types of angles / •Learn the intuitive concepts and the presentation of angles.

•Learn different types of angles. / Ex. 4A : 3-6, __, __, (__)

4.3 The Use of Protractor

A. Measuring angles

B. Drawing angles / •Learn how to use a protractor.

•Learn how to measure angles with a protractor.

•Learn how to draw angles with a protractor. / Ex. 4B : 2, 3, __, __, (__)

4.4 Plane Figures

A. Triangles

B. Polygons

C. Circles / •Classify triangles according to their lengths of sides and sizes of interior angles.

•Explore the angle sum of a triangle.

•Identify the types of polygons.

•Learn the basic terminologies of circles. / Ex. 4C : 1, 2, 5, 7, __, __, (__)

Week / Section / Learning Targets / Exercises / Remarks

4.5 Drawing Tools

A. Rulers and compasses

B. Set squares / •Learn some basic drawing tools and their functions.

•Learn how to use a pair of compasses to draw circles.

•Learn how to use set squares to draw parallel lines and perpendicular lines. / Ex. 4D : 3-5, __, __, (__) / LD: p.4.55

Investigation

Zone

LD: p.4.57

Appreciating Mathematics

4.6 Solids

A. Basic concepts of solids

B. Cross-sections of a solid

C. Polyhedra

D. Regular polyhedra

E. Euler’s formula / •Revise some basic concepts of solids, e.g. vertex, edge, face, cross-section and uniform cross-section.

•Introduce polyhedron and regular polyhedron.

•Explore Euler’s formula. / Ex. 4E : 2, 3, 6, __, __, (__)

Making models of polyhedra

4.7 2-Dimensional Representations of

Solids

A. Isometric grid

B. Oblique grid / •Learn the methods of drawing solids on isometric grid and oblique grid. / Ex. 4F : 2, 3, __, __, (__)

Chapter 7 Symmetry and Transformation

Week / Section / Learning Targets / Exercises / Remarks12 – 14 / Fun in Math / • Stimulate learning motivation. / I: E-book

I: ETV (Transformation and Symmetry)

I: p.7.2 iTool 7.1

I: p.7.4 iTool 7.2

I: p.7.11 iTool 7.3

I: p.7.41 I.T. Corner

I: p.7.41 iTool 7.4

I: p.7.42 iTool 7.5

I: p.7.44 iTool 7.6

I: p.7.45 iTool 7.7

LD: p.7.40

Investigation Zone

7.1 Symmetry

A. Reflectional symmetry

B. Rotational symmetry / • Learn the reflectional symmetry and rotational symmetry in plane figures.

• Appreciate the characteristics of symmetrical figures in daily life and share these with others. / Ex. 7A : 2, 4, 6, 7(a), 8(a), 9(a), 11, 13, 17, 19, 20, __, __, (__, __)

7.2 Transformation

A. Translation

B. Reflection

C. Rotation

D. Enlargement / Contraction / •Learn the effect on plane figures after transformation including translation, reflection, rotation, and enlargement / contraction.

•Design some basic patterns through the techniques of transformation. / Ex. 7B : 3, 5, 7, 9, __, (__, __)

Ex. 7C : 2, 3, 6, 8, 10, __, __, (__, __)

Chapter 5 Areas and Volumes

Week / Section / Learning Targets / Exercises / Remarks /15 – 17 / Fun in Math, Quick Review / •Stimulate learning motivation.

•Do a revision on the basic knowledge and techniques required for this chapter. / I: E-book

I: ETV (Volumes and Surface Areas of Prisms)

LD : p.5.37 Investigation Zone

5.1 Areas of Polygons / •Revise the formulae for the areas of basic figures (e.g. rectangle, triangle, parallelogram and trapezium etc.) and find the areas of polygons through these formulae. / Ex. 5A : 3, 5, 9, 11, 13, 17, __, __, (__, __)

5.2 Volumes of Prisms

A. Cuboids

B. Prisms / • Explore and use the formula for the volume of a prism / Ex. 5B : 2-5, 8, 9, 10, 11, 14, 16, 21, __, __, (__, __)

5.3 Surface Areas of Prisms / •Explore and use the formula for the surface area of a prism. / Ex. 5C : 2, 3, 5, 6, 9, 10, 12, 14, __, __

(__, __)

Chapter 6 Percentages

Week / Section / Learning Targets / Exercises / Remarks /20 – 25 / Fun in Math, Quick Review / • Stimulate learning motivation.

• Do a revision on the basic knowledge and techniques required for this chapter. / I: E-book

LD: p.6.44

Investigation Zone

6.1 Simple Problems on Percentages

A. Finding percentages

B. Finding a part

C. Finding the whole / •Familiarize with the techniques in solving problems involving percentages. / Ex. 6A : 1(a), 2(a), 3(a), 5, 8, 9, 11, 14, 15, __, __, (__, __)

6.2 Percentage Increase and

Percentage Decrease

A. Percentage increase

B. Percentage decrease / •Learn how to solve problems involving percentage increase and percentage

decrease. / Ex. 6B : 4, 5, 7, 8, 9, 10, 13, 15, __, __, (__, __)

6.3 Profit and Loss

A. Profit

B. Loss / •Learn the meanings of ‘cost’, ‘selling price’, ‘profit’, ‘loss’, and their relation.

•Understand the meanings of ‘percentage profit’ and ‘percentage loss’. / Ex. 6C : 3, 5, 7, 9, 11, 12, 15, 16, 17, __, __, (__, __)

6.4 Discount / •Learn the meanings of ‘marked price’, ‘selling price’, ‘discount’, and their relation.

•Understand the meaning of ‘percentage discount’.

•Learn that we often come across ‘discount’ in daily-life situation. / Ex. 6D : 3, 4, 6, 8, 10, 12, 14, 17, __, __, (__, __)

Chapter 8 Introduction to Coordinates

Week / Section / Learning Targets / Exercises / Remarks25 – 28 / Fun in Math, Quick Review / • Stimulate learning motivation.

• Do a revision on the basic knowledge and techniques required for this chapter. / I: E-book

R: p.8.5

Math History

8.1 Ordered Pairs / •Understand the concept of ordered pairs.

•Learn to represent the position of a point by using the concept of ordered pairs.

8.2 Rectangular Coordinate System

A. Rectangular coordinate plane

B. Drawing a rectangular coordinate plane on graph paper / • Understand the structure of the rectangular coordinate system and its related terminologies, such as x-axis, y-axis, origin, x-coordinate and y-coordinate.

• Mark the position of a point accurately on a rectangular coordinate plane. / Ex. 8A : 2, 3, 4, 5, 7, 9, 10, 12, __, __, (__, __)

8.3 Distances / •Find the distance between two points on a horizontal or vertical line on a rectangular coordinate plane. / Ex. 8B : 2, 4, 6, 8, 10, 12, 16, __, __, (__, __)

8.4 Areas of Polygons / •Find the areas of simple geometrical figures on a rectangular coordinate plane through the formula for the distance between two points. / Ex. 8C : 2, 4, 7, 8, 10, 11, 12, 15, 16, __, __, (__, __) / I: p.8.33 iTool 8.1

I: p.8.43 iTool 8.2

I: p.8.44 iTool 8.3

I: p.8.51 iTool 8.4

LD: p.8.70

Investigation Zone

8.5 Polar Coordinate System / •Understand the structure of the polar coordinate system and its related terminologies, such as pole, polar axis, radius vector and polar angle.

•Mark the position of a point accurately on a polar coordinate plane. / Ex. 8D : 1, 2, 3, 6, __, __, (__, __)

8.6 Transformations on a Rectangular Coordinate Plane

A. Translation

B. Reflection

C. Rotation / • Explore intuitively the effect on the coordinates of a point after transformations. / Ex. 8E : 1, 2, 5, 6, 7, __, __, (__, __)

Ex. 8F : 1, 2, 4, 6, __, __, (__)

Chapter 11 Estimation and Approximation

Week / Section / Learning Targets / Exercises / Remarks /28 – 30 / Fun in Math, Quick Review / •Stimulate learning motivation.

•Do a revision on the basic knowledge and techniques required for this chapter. / I: E-book

LD : p.11.29 Investigation Zone

11.1 Estimation

A. What is estimation?

B. When should we use estimation? / •Learn that conclusions can be drawn without finding the exact values in some cases, and hence to appreciate the advantages of estimation.

•Determine the circumstances under which we should estimate values or compute the exact values.

11.2 Estimation Strategies

A. Reformulation strategy

B. Compensation strategy

C. Translation strategy

D. Rounding up / Rounding down / •Learn some estimation strategies.

11.3 Choosing Appropriate Means for

Calculations / •Learn how to choose appropriate means for calculations. / Ex. 11A : 2-7, 10, 12, __, __, (__, __)

11.4 Significant Figures / •Learn the meaning of significant figures.

•Express the approximate value of a known value in significant figures. / Ex. 11D : 1, 2, 4, 6-8, __, __,

(__, __)

Chapter 10 Angles in Rectilinear Figures