Focus: Building essential mathematical foundations.
Key Topics:
- Numbers & Operations: Whole numbers, integers, fractions, decimals.
- Basic Geometry: Lines, angles, shapes.
- Measurement: Length, area, perimeter.
- Data Handling: Simple data interpretation.
Learning Outcomes: Perform basic arithmetic, understand basic geometry, apply simple measurement, and interpret basic data.
Focus: Deepening core concepts, and introducing algebraic thinking.
Key Topics:
- Rational Numbers: Operations, comparisons.
- Algebraic Expressions: Introduction to variables.
- Linear Equations (1 Variable): Solving basics.
- Triangles: Basic properties.
- Ratio & Proportion: Understanding and application.
- Basic Probability: Introduction to chance.
Learning Outcomes: Work with rational numbers, manipulate simple algebra, solve basic linear equations, apply triangle properties, solve ratio/proportion problems, and understand basic probability.
Focus: Advanced algebra, practical geometry, exponents, comparing quantities, basic mensuration & statistics.
Key Topics:
- Algebraic Expressions & Identities: Factorization.
- Quadrilaterals & Practical Geometry: Properties, constructions.
- Exponents & Powers: Laws, scientific notation.
- Comparing Quantities: Percentage, profit/loss, simple/compound interest.
- Mensuration: Area/volume (cubes, cuboids, cylinders).
- Introduction to Statistics: Data organization, bar graphs.
Learning Outcomes: Manipulate algebraic expressions/identities, understand quadrilateral properties, work with exponents, solve percentage/interest problems, calculate basic areas/volumes, and interpret basic statistics.
Focus: Comprehensive introduction to foundational higher math concepts.
Key Topics:
- Number Systems: Real numbers, irrational numbers.
- Polynomials: Operations, factorization.
- Coordinate Geometry: Basics, distance formula.
- Linear Equations (2 Variables): Graphing, solving systems.
- Geometry: Lines/angles, triangles, quadrilaterals, circles, constructions.
- Mensuration: Surface areas/volumes.
- Statistics & Probability: Basic concepts.
Learning Outcomes: Understand real numbers/polynomials, work with coordinate geometry, solve linear equations (2 variables), grasp fundamental geometry, apply basic mensuration, and understand basic statistics/probability.
Focus: Board exam preparation, reinforcing Grade 9 concepts.
Key Topics:
- Real Numbers: Euclidean algorithm, fundamental theorem.
- Polynomials: Zeros, coefficients.
- Linear Equations (2 Variables): Solving methods.
- Quadratic Equations: Solving methods.
- Arithmetic Progressions: nth term, sum.
- Triangles: Similarity.
- Trigonometry: Ratios, identities, applications.
- Circles: Tangents, theorems.
- Mensuration: Areas related to circles, and combined solids.
- Statistics & Probability: Mean, median, mode, basic probability.
Learning Outcomes: Be prepared for board exams, demonstrate a strong understanding of key concepts, and improve problem-solving skills.
Focus: Introduction to advanced math for science/engineering.
Key Topics:
- Sets, Relations & Functions: Basics, domains/ranges.
- Trigonometric Functions: Identities, equations.
- Mathematical Induction: Proving statements.
- Complex Numbers & Quadratic Equations: Basics.
- Linear Inequalities: Solving.
- Permutations & Combinations: Counting principles.
- Binomial Theorem: Expansion.
- Sequences & Series: AP, GP.
- Coordinate Geometry: Lines, conic sections (intro).
- 3D Geometry: Basic coordinates.
- Limits & Derivatives: Introduction.
- Statistics: Measures of dispersion.
Learning Outcomes: Build a foundation in advanced algebra, trigonometry, coordinate geometry, calculus (intro), and statistics.
Focus: Board & competitive exam preparation, advanced concepts.
Key Topics:
- Relations & Functions: Types, inverse.
- Inverse Trigonometric Functions: Properties.
- Matrices & Determinants: Operations, solving equations.
- Calculus: Continuity, differentiability, applications of derivatives, integrals, applications of integrals, differential equations 1 (intro).
- Vector Algebra: Operations, dot/cross products.
- 3D Geometry: Lines, planes.
- Linear Programming: Formulation.
- Probability: Conditional, Bayes’, distributions.
Learning Outcomes: Be prepared for board & competitive exams, master advanced algebra, calculus, vector algebra, 3D geometry, linear programming, and probability.
Focus: Board & competitive exam preparation, advanced concepts.
Key Topics:
- Relations & Functions: Types, inverse.
- Inverse Trigonometric Functions: Properties.
- Matrices & Determinants: Operations, solving equations.
- Calculus: Continuity, differentiability, applications of derivatives, integrals, applications of integrals, differential equations 1 (intro).
- Vector Algebra: Operations, dot/cross products.
- 3D Geometry: Lines, planes.
- Linear Programming: Formulation.
- Probability: Conditional, Bayes’, distributions.
Learning Outcomes: Be prepared for board & competitive exams, master advanced algebra, calculus, vector algebra, 3D geometry, linear programming, and probability.
Focus: Advanced topics for specific engineering fields.
Key Topics:
- Series Solutions of Differential Equations: Power series, Frobenius.
- Laplace Transforms: Properties, inverse, solving ODEs.
- Fourier Series: Representation of periodic functions.
- Complex Analysis: Analytic functions, integration, series, residues.
Learning Outcomes: Proficiency in advanced ODE solving, Laplace/Fourier transforms, and complex analysis for engineering applications.
Focus: Specialized math tools for specific engineering disciplines.
Key Topics (Variable by Specialization):Numerical Methods: Equation solving, differentiation/integration, ODE/PDE solutions.
Probability & Statistics for Engineers: Distributions, inference, regression.
Partial Differential Equations: Heat, wave, Laplace equations.
Transform Calculus: Advanced Laplace/Fourier applications.
Learning Outcomes: Advanced math skills tailored to specific engineering fields for complex problem-solving.