S.1 Curriculum
Chapter 0 Basic Mathematics
| Section |
0.1 Fundamental Arithmetic
A. Numbers
B. The Four Basic Arithmetic Operations (+, –, ´, ¸) |
0.2 Multiples and Factors
A. Multiples and L.C.M.
B. Factors and H.C.F.
C. Prime Numbers and Prime Factors |
0.3 Fractions
A. Introduction
B. Equal Fractions
C. Arithmetic Operations on Fractions |
Chapter 1 Directed Numbers and the Number Line
| Section |
1.1 Concept of Directed Numbers |
1.2 The Number Line |
1.3 Addition and Subtraction of Directed Numbers
A. By Using the Number Line
B. By Removing Brackets |
1.4 Multiplication and Division of Directed Numbers
A. Multiplication of Directed Numbers
B. Division of Directed Numbers
C. Mixed Operations of Directed Numbers |
Chapter 2 Introduction to Algebra
| Section |
2.1 Algebraic Language
A. Using Letters to Represent Unknown Values
B. Algebraic Expressions
C. Operations and Notations in Algebra |
2.2 Method of Substitution and Formulas
A. Method of Substitution
B. Formulas |
2.3 Number Patterns
A. Introduction to Sequences
B. Some Common Sequences
C. General Term of a Sequence |
Chapter 3 Algebraic Equations in One Unknown
| Section |
3.1 Algebraic Equations
A. Introduction to Algebraic Equations
B. Basic Techniques for Solving Algebraic Equations |
3.2 More about Solving Equations
A. Combining Terms with the Same Unknown
B. Removing Brackets
C. Eliminating Denominators |
3.3 Applications of Algebraic Equations |
3.4 Literal Equations (Enrichment) |
Chapter 4 Percentages (I)
| Section |
4.1 Simple Problems on Percentages
A. Finding the Percentage of a Part
B. Finding a Part from the Percentage
C. Finding the Whole from the Percentage and the Part |
4.2 Percentage Increase and Percentage Decrease
A. Percentage Increase
B. Percentage Decrease |
4.3 Profit and Loss
A. Profit
B. Loss
C. Discount |
Chapter 5 Estimation in Numbers and Measurement
| Section |
5.1 Introduction to Estimation
A. Concept of Estimation
B. Reasons for Estimation |
5.2 Numerical Estimation Strategies
A. Reformulation Strategy
B. Compensation Strategy
C. Translation Strategy
D. More about Estimation |
5.3 Measurement
A. Approximate Nature of Measurement
B. Choosing an Appropriate Measuring Tool
C. Choosing an Appropriate Unit for Measurement
D. Choosing an Appropriate Degree of Accuracy for Measurement |
5.4 Estimation Strategies in Measurement
A. Benchmark Strategy
B. Decomposition - recomposition Strategy
C. Estimation of p |
5.5 Methods of Reducing Errors in Measurement |
Chapter 6 Introduction to Geometry
| Section |
6.1 The Three Elements of Geometry
A. Points
B. Lines
C. Surfaces |
6.2 Angles
A. Concept of Angles
B. Types of Angle
C. Measurement and Construction of Angles |
6.3 Lines on a Plane |
6.4 Plane Figures
A. Triangles
B. Polygons
C. Circles |
6.5 Construction of Figures
A. Construction of Parallel Lines and Perpendicular Lines
B. Construction of Circles and Line Segments |
6.6 Three-Dimensional Figures
A. Introduction to Solids
B. Polyhedra |
6.7 Cross-sections of Solids |
6.8 2-D Representations of Simple Solids
A. Sketching Solids
B. Drawing Solids on Grid Paper (Enrichment) |
Chapter 7 Symmetry and Transformation
| Section |
7.1 Symmetry
A. Reflectional Symmetry
B. Rotational Symmetry |
7.2 Transformation
A. Translation
B. Reflection
C. Rotation
D. Enlargement / Reduction |
7.3 Designing Tile Patterns (Enrichment) |
Chapter 8 Areas and Volumes (I)
| Section |
8.1 Areas of Simple Polygons |
8.2 Prisms
A. Review on Volume
B. Volumes of Prisms
C. Total Surface Areas of Prisms |
Chapter 9 Congruence and Similarity
| Section |
9.1 Congruence |
9.2 Congruent Triangles and their Properties |
9.3 Construction of Triangles |
9.4 Conditions for Congruent Triangles |
9.5 Similarity |
9.6 Similar Triangles and their Properties |
9.7 Conditions for Similar Triangles |
Chapter 10 Introduction to Coordinates
| Section |
10.1 Introduction to Ordered Pairs |
10.2 Rectangular Coordinate System |
10.3 Distance between Two Points |
10.4 Areas of Plane Figures |
10.5 Transformations of Points on the Coordinate Plane
A. Translation
B. Reflection
C. Rotation about the Origin |
10.6 Polar Coordinate System |
Chapter 11 Angles related to Lines
| Section |
11.1 Angles related to Intersecting Lines
A. Adjacent Angles on a Straight Line
B. Angles at a Point
C. Vertically Opposite Angles |
11.2 Angles related to Parallel Lines
A. Angles Formed by a Transversal and Two Lines
B. Angles Formed by a Transversal and Parallel Lines |
11.3 Identifying Parallel Lines |
Chapter 12 Manipulation of Simple Polynomials
| Section |
12.1 Laws of Positive Integral Indices |
12.2 Monomials |
12.3 Polynomials
A. Basic Concept of Polynomials
B. Like Terms and Unlike Terms
C. Arrangement of Terms
D. Value of a Polynomial |
12.4 Addition and Subtraction of Polynomials |
12.5 Multiplication of Polynomials
A. Distributive Law of Multiplication
B. Multiplication of Binomials and Polynomials |
Chapter 13 Introduction to Various Stages of Statistics
| Section |
13.1 Introduction to Statistics |
13.2 Collection of Data |
13.3 Classification of Data |
13.4 Organization of Data |
Chapter 14 Simple Statistical Diagrams and Graphs (I)
| Section |
14.1 Simple Statistical Diagrams
A. Bar Charts
B. Broken-Line Graphs
C. Pie Charts |
14.2 Stem-and-Leaf Diagrams
A. Stem-and-Leaf Diagrams
B. Back-to-Back Stem-and-Leaf Diagrams |
14.3 Histograms
A. Grouping of Continuous Data
B. Drawing Histograms |
14.4 Scatter Diagrams |
14.5 Constructing Statistical Diagrams with Computer Software |
|