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KRANJI SECONDARY SCHOOL

61 Choa Chu Kang Street 51 Singapore 689333 Tel: 6766 2464 Fax: 6766 2095 Email: [email protected]

Our Values: • Respect • Responsibility • Resilience • Compassion • Integrity • Passion for Learning

DEPARTMENT: MATHEMATICS 2015 SEMESTER 1 KEY SKILLS / TOPICS COVERED LEVEL: Secondary One Express Term 1

S/N Topics / Activities

1 Factors and Multiples

2 Real Numbers

3 Approximation and Estimation

4 Introduction to Algebra

5 Algebraic Manipulation

6 Simple Equations In One Variable

7 Construction Applications

Term 2


1 Angles and Parallel Lines,

2 Triangles & Polygons

3 Constructions of Perpendicular and Angle Bisectors, Triangles, Quadrilaterals

4 Ratio, Rate and Speed

5 Perimeters and Areas of Plane Figures

6 Volumes & Surface Areas of Solids (Cuboid, Prism, Cylinder)

7 Number Patterns




DEPARTMENT: MATHEMATICS 2015 SEMESTER 1 KEY SKILLS / TOPICS COVERED LEVEL: Secondary One Normal Academic Term 1


1 Factors and Multiples

2 Real Numbers

3 Approximation and Estimation

4 Introduction to Algebra


6 Simple Equations In One Variable

7 Construction Applications

Term 2


1 Angles and Parallel Lines

2 Triangles and Polygons

3 Constructions of Perpendicular and Angle Bisectors, Triangles, Quadrilaterals

4 Ratio, Rate and Speed

5 Perimeters and Areas of Plane Figures

6 Volumes & Surface Areas of Solids (Cuboid, Prism, Cylinder)

7 Number Patterns




DEPARTMENT: MATHEMATICS 2014 SEMESTER 1 KEY SKILLS / TOPICS COVERED LEVEL: Secondary One Normal Technical Term 1

S/N Topics / Activities / Skills

1

Numbers

2

Fractions

3

Decimals

4

Statistics

Term 2


1

Ratio

2

Percentage

3

Angles

4 Revision of Mid-Year Examination




LEVEL: Secondary Two Normal Technical Term 1


1 Triangles and Quadrilaterals

2 Congruency and Similarity


4 Linear Equations

Term 2


1 Functions and Graphs

2 Rate and Proportion

3 Revision of Mid-Year Examination




LEVEL: Secondary Three Normal Technical Term 1


1 Indices and Standard Form

2 Map Scales

3 Algebraic expression, equations and formulae

Term 2


1 Algebraic expression, equations and formulae (continued)




LEVEL: Secondary Four Normal Technical Term 1


1 Plan and Elevation Scale Drawing

2 Solving Simple Fractional Equations

3 Solving Simultaneous Linear Equations

4 Word problems leading to simultaneous equations

5 Solving Quadratic Equations

6 Word problems leading to Quadratic equations

7 Trigo Ratios

8 Word problems

9

Application of Trigonometry

Term 2


1

Area of Triangle by formula 1

2𝑎𝑏sin𝐶

2

Angles of elevation and depression

3

Sectors

4 Volumes and surface areas of Pyramids, Cones and Spheres

5

Mock Examination Papers




DEPARTMENT: MATHEMATICS 2014 SEMESTER 1 KEY SKILLS / TOPICS COVERED LEVEL: Secondary Two Express Term 1


1 Expansion of Algebraic Expressions

2 Factorization of Algebraic Expressions

3 Solving Quadratic Equations by Factorization

4 Algebraic Manipulation and Formulae

5 Indices Laws 1&2 and Standard Form

Term 2


1 Pythagoras’ Theorem

2 Trigonometric Ratios of Acute Angles (Include 2D Angle of Elevation and Depression)

3 Similarity and Congruency (Include Maps and Scales)




DEPARTMENT: MATHEMATICS 2014 SEMESTER 1 KEY SKILLS / TOPICS COVERED LEVEL: Secondary Two Normal Academic Term 1


1 Expansion of Algebraic Expressions

2 Factorization of Algebraic Expressions

3 Solving Quadratic Equations by Factorization

4 Algebraic Manipulation and Formulae

5 Indices Laws 1&2 and Standard Form

Term 2


1 Pythagoras’ Theorem

2 Trigonometric Ratios of Acute Angles (Include 2D Angle of Elevation and Depression)

3 Similarity and Congruency (Include Maps and Scales)




DEPARTMENT: MATHEMATICS 2015 SEMESTER 1 KEY SKILLS / TOPICS COVERED LEVEL: Secondary Three Express Term 1


1 Indices (EM)

2 Surds & Indices (AM)

3 Quadratic Equations (EM)

4 Equations & Inequalities (AM)

5 Binomial Theorem (AM)

6 Functions & Graphs (EM)

Term 2


1 Logarithms (AM)

2 Trigonometry (EM)

3 Coordinate Geometry (EM)

4 Point, Lines & Shapes (AM)

5 Arc Lengths, Sector Areas & Radian Segment

AM – Additional Mathematics EM – Elementary Mathematics




DEPARTMENT: MATHEMATICS 2015 SEMESTER 1 KEY SKILLS / TOPICS COVERED LEVEL: Secondary Three Normal Academic (3R1) Term 1


1 Indices & Standard Form (EM)

2 Surds & Indices (AM)

3 Quadratic Equations & Inequalities (EM)

4 Equations & Inequalities (AM)

5 Binomial Theorem (AM)

6 Functions and Graphs (EM)

Term 2


1 Trigonometry (EM)

2 Applications of Trigonometry (EM)

3 Coordinate Geometry (EM)

4 Points, Lines & Shapes (AM)

5 Arc Lengths, Sector Areas & Radian Segment

AM – Additional Mathematics (selected students) EM – Elementary Mathematics (all students)




DEPARTMENT: MATHEMATICS 2015 SEMESTER 1 KEY SKILLS / TOPICS COVERED LEVEL: Secondary Three Normal Academic (3R2 & 3R3) Term 1


1 Indices & Standard Form

2 Linear Inequalities

3 More about Quadratic Equations

4 Functions and Graphs

Term 2


1 Trigonometry

2 Applications of Trigonometry

3 Coordinate Geometry

4 Arc Length, Sector Areas & Radian Segment




DEPARTMENT: MATHEMATICS 2015 SEMESTER 1 KEY SKILLS / TOPICS COVERED LEVEL: Secondary 4 Express Term 1


1 Matrices (EM)

2 Vectors (EM)

3 Polynomials (AM)

4 Congruency and Similarity - Areas and volumes of similar figures (EM)

5 Partial Fractions (AM)

6 Further Trigo Identities – R formula

7 Differentiation (AM)

8 Tangent, Normal & Rates of change (AM)

Term 2


1 Statistics (EM)

2 Maxima & Minima (AM)

3 Further Differentiation (AM)

4 Integration (AM)

5 Area of region (AM)





DEPARTMENT: MATHEMATICS 2015 SEMESTER 1 KEY SKILLS / TOPICS COVERED LEVEL: Secondary 4 Normal Academic Term 1


1 Matrices (EM O Level)

2 Polynomials (AM)

3 Congruence & Similarity (Area & Volume) (EM)

4 Kinematics/Travel Graph/Conversion Graph (EM)

5 Similarity & congruency (EM)

6 Further Trigonometric Identities (AM)

7 Set Language & Notation (EM O Level)

8

9

10

Term 2


1

2 Statistics I (EM)

3 Statistics II (EM)

4 Vectors (EM O Level)

5 Differentiation (AM)

6 Tangents, Normal and Rates of Change (AM)

7 Maxima and Minima (AM)

8

9

10

AM – Additional Mathematics (selected students) EM – Elementary Mathematics (all students) EM O Level - Elementary Mathematics @ O level (selected students)




DEPARTMENT: MATHEMATICS 2015 SEMESTER 1 KEY SKILLS / TOPICS COVERED LEVEL: Secondary 5 Normal Academic Term 1


1 Matrices (EM)

2 Vectors (EM)

3 Surds and Indices – Exponential Functions

4 Application of Straight Line Graphs (AM)

5 Partial Fractions (AM)

6 Modulus Function (AM)

Term 2


Set Language & Notation (EM)

1 Logarithms

2 Derivatives of Trigonometric and logarithmic functions (AM)

3 Integration of Trigonometric and logarithmic functions (AM)


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