Sai Kung Sung Tsun Catholic School(Secondary Section)
S.6(6A) Mathematics Teaching Syllabus 2014 - 2015
Topics to be taught ( 16 weeks )
1.
More about Equations
1.1
1.2
1.3
1.4
2.
Solving Simultaneous Equations by Algebraic Method
Solving Simultaneous Equations by Graphical Method
A. Graphical method
B. The limitations of graphical method
Transformation of Equations
A. Algebraic equations
B. Trigonometric equations
C. Exponential and logarithmic equations
Further Application of Equations
Arithmetic Sequences
2.1 Sequences and Functions
2.2 Arithmetic Sequences
2.3 Properties of Arithmetic Sequences
A. Relation among three consecutive terms
B. Transformation of arithmetic sequences
2.4 Sum of the First n Terms of an Arithmetic Sequence
2.5 Applications of the Formula for the Sum of an Arithmetic Sequence
3.
Geometric Sequences
3.1 Geometric Sequences
3.2 Properties of Geometric Sequences
A. Relation among three consecutive terms
B. Transformation of geometric sequences
3.3 Sum of the First n Terms of a Geometric Sequence
3.4 Sum to Infinity of a Geometric Sequence
3.5 Applications of the Formula for the Sum of a Geometric Sequence
S.6(6A) Mathematics Teaching Syllabus (2014 – 2015)
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4.
More about Applications of Trigonometry
4.1
4.2
4.3
4.4
4.5
4.6
4.7
5.
Solving Right-angled Triangles
Area of a Triangle
Sine Formula
Cosine Formula
Heron’s Formula
Applications to Two- Dimensional Problems
A. Angles of elevation and depression
B. Bearings
Applications to Three- Dimensional Problems
A. Planes
B. Normal
C. Projection
D. Angle between a line and a plane
E. Line of greatest slope on an inclined plane
F. Angle between two planes
G. Bearings of points not lying on a horizontal plane
Further Applications of Mathematics
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Golden Ratio and Fibonacci Sequence
Water Puzzle
Cryptology
Determination of Laws
Exploring and Interpreting Graphs
Analyzing and Interpreting Data Collected in Surveys
Further Applications of Percentage
Ceva Theorem and its Applications
Ptolemy Theorem and its Applications
MOCK EXAMINATION
S.6 MATHEMATICS ASSESSMENT SYSTEM：
Daily Assessment (50%) + Mock Exam (50%) = Annual Result (100%)
Daily Assessment (100%) =
Chapter Tests/ Integrated Tests(30%) + Quizzes(20%) +
Uniform Test(20%) + Homework (10%) + Classwork (10%) +
Attitude (10%)
S.6(6A) Mathematics Teaching Syllabus (2014 – 2015)
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