Year 11 Mathematics SyllabusThis syllabus for Year 11 Mathematics covers a wide range of topics to provide a comprehensive understanding of mathematical concepts and skills. The course is designed to develop students' problem-solving abilities and analytical thinking skills, while also building a solid foundation for further study in mathematics.
1. Consumer maths- Budgeting and financial planning
- Interest calculations
- Taxation and deductions
- Banking and credit management
2. Scientific notation- Understanding and working with numbers in scientific notation
- Converting between standard and scientific notation
- Performing operations with numbers in scientific notation
3. Equations and inequalities- Solving linear equations
- Solving quadratic equations
- Solving absolute value equations
- Solving linear inequalities
4. Simultaneous equations- Solving systems of linear equations
- Graphical and algebraic methods
- Applications of simultaneous equations
5. Linear programming- Introduction to linear programming
- Graphical solution method
- Optimization problems
6. Coordinate plane- Cartesian coordinates and the coordinate plane
- Distance and midpoint formulas
- Graphing linear equations and inequalities
7. Functions- Definition and properties of functions
- Graphing functions
- Composite and inverse functions
8. Matrices- Matrix operations (addition, subtraction, multiplication)
- Matrix inverses
- Applications of matrices
9. Complex numbers- Introduction to complex numbers
- Operations with complex numbers
- Graphing complex numbers
10. Factorisation- Factoring polynomials
- Difference of squares
- Factoring by grouping
11. Quadratic functions- Graphing quadratic functions
- Solving quadratic equations
- Applications of quadratic functions
12. Polynomials- Operations with polynomials
- Division of polynomials
- Factoring polynomials
13. Expressions- Simplifying algebraic expressions
- Operations with algebraic expressions
- Evaluating expressions
14. Exponents- Laws of exponents
- Scientific notation and significant figures
- Operations with exponents
15. Logarithms- Introduction to logarithms
- Properties of logarithms
- Solving exponential and logarithmic equations
16. Exponential and logarithmic functions- Graphing exponential and logarithmic functions
- Transformations of exponential and logarithmic functions
- Applications of exponential and logarithmic functions
17. Parabolas- Graphing quadratic functions
- Vertex form and standard form of a parabola
- Applications of parabolas
18. Hyperbolas- Graphing hyperbolas
- Properties of hyperbolas
- Applications of hyperbolas
19. Angle measures- Radian and degree measure
- Trigonometric ratios
- Angles in standard position
20. Trigonometry- Solving right triangles
- Law of Sines and Law of Cosines
- Applications of trigonometry
21. Trigonometric functions & Identities- Definitions of trigonometric functions
- Graphing trigonometric functions
- Trigonometric identities and equations
22. Area & Perimeter- Area and perimeter of polygons
- Circumference and area of circles
- Surface area and volume of 3D shapes
23. Quadilaterals- Properties of quadrilaterals
- Classifications of quadrilaterals
- Special properties of parallelograms
24. Similarity- Similar triangles and their properties
- Similarity in polygons
- Applications of similarity
25. Circles- Properties of circles
- Tangents, secants, and chords
- Arc length and sector area
26. Logic- Truth tables and logical operators
- Conditional statements and their converse
- Deductive reasoning and proofs
27. Sequence & Series- Arithmetic sequences and series
- Geometric sequences and series
- Summation notation and applications
28. Probability- Basic probability concepts
- Probability of compound events
- Probability distributions and expected value
29. Statistics- Data collection and organization
- Measures of central tendency and dispersion
- Statistical graphs and interpretation
30. Limits- Understanding limits of functions
- Evaluating limits algebraically and graphically
- Continuity and discontinuity
31. Continuity- Continuity of functions
- Intermediate Value Theorem
- Discontinuities and removable discontinuities
32. Derivatives- Definition and interpretation of derivatives
- Basic rules of differentiation
- Applications of derivatives in calculus
This Year 11 Mathematics syllabus provides a comprehensive overview of the topics and concepts that will be covered throughout the course. It is designed to equip students with the necessary mathematical knowledge and skills to succeed in further studies and real-world applications.
This course is helpful for the following exams: Year 11