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Singapore Year 11
Singapore Curriculum Year 11 Mathematics
Singapore Curriculum Year 11 Mathematics
Curriculum
11 Sections
42 Lessons
60 Hours
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Algebra
5
1.0
Advanced algebraic manipulation
1.1
Quadratic equations and functions
1.2
Polynomials and polynomial equations
1.3
Rational functions and equations
1.4
Exponential and logarithmic functions
Functions and Graphs
5
2.0
Transformations of functions
2.1
Composite functions
2.2
Inverse functions
2.3
Properties of graphs
2.4
Trigonometric functions and their graphs
Calculus
5
3.0
Limits and continuity
3.1
Differentiation (derivatives)
3.2
Applications of derivatives (e.g., rates of change, optimization)
3.3
Integration (indefinite and definite integrals)
3.4
Applications of integration (e.g., area under curves)
Statistics and Probability
5
4.0
Data analysis and interpretation
4.1
Probability distributions
4.2
Statistical inference
4.3
Probability concepts and applications
4.4
Probability distributions (e.g., binomial, normal)
Vectors and Matrices
4
5.0
Vector algebra
5.1
Scalar and vector products
5.2
Matrix operations
5.3
Solving systems of linear equations using matrices
Coordinate Geometry
3
6.0
Equations of lines and curves
6.1
Conic sections (e.g., circles, ellipses, hyperbolas)
6.2
Applications of coordinate geometry
Complex Numbers
3
7.0
Introduction to complex numbers
7.1
Operations with complex numbers
7.2
Complex numbers in equations and polar form
Sequences and Series
3
8.0
Arithmetic and geometric sequences
8.1
Summation notation
8.2
Infinite series and convergence
Discrete Mathematics
3
9.0
Combinatorics (e.g., permutations, combinations)
9.1
Graph theory
9.2
Number theory and modular arithmetic
Trigonometry
3
10.0
Advanced trigonometric identities and equations
10.1
Trigonometric functions and their properties
10.2
Trigonometric applications in geometry and physics
Geometry and 3D Geometry
3
11.0
Properties of triangles and polygons
11.1
Coordinate geometry in three dimensions
11.2
Volumes and surface areas of solids
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