Duration: 6 Months
To develop learners’ fundamental mathematical knowledge, problem-solving ability, and analytical thinking skills required for further studies in engineering, business, science, and technical disciplines. The course focuses on strengthening arithmetic, algebra, geometry, basic trigonometry, and data interpretation skills.
By the end of the course, learners will be able to:
- Apply basic arithmetic operations accurately in real-life contexts
- Solve algebraic expressions and simple equations
- Interpret basic geometric shapes and measurements
- Use basic trigonometric concepts in practical problems
- Analyze data using basic statistics and graphs
Module 1: Fundamentals of Numbers & Arithmetic
• Types of numbers:
o Natural numbers
o Integers
o Rational numbers
• Basic operations:
o Addition, subtraction, multiplication, division
• Order of operations (BODMAS/PEMDAS)
• Fractions:
o Simplification
o Addition and subtraction
o Multiplication and division
• Decimals and percentages
• Ratio and proportion
• Word problems based on daily life applications
Module 2: Introduction to Algebra
• Algebraic expressions
• Variables and constants
• Simplification of expressions
• Linear equations in one variable
• Basic inequalities
• Substitution method
• Factorization basics:
o Common factors
o Simple quadratic expressions
• Real-life algebra applications
Module 3: Geometry & Mensuration
• Basic geometric shapes:
o Triangle
o Square
o Rectangle
o Circle
• Perimeter and area calculations
• Volume of basic solids:
o Cube
o Cuboid
o Cylinder (intro level)
• Angles:
o Types of angles
o Angle properties in triangles
• Coordinate geometry basics (Cartesian plane introduction)
Module 4: Basic Trigonometry & Measurement
• Introduction to trigonometry
• Right-angled triangle concepts
• Trigonometric ratios:
o Sine
o Cosine
o Tangent
• Simple trigonometric values
• Angle measurement (degrees and radians introduction)
• Practical applications in engineering and construction
• Height and distance problems (basic level)
Module 5: Data Handling & Statistics
• Data collection methods
• Types of data:
o Qualitative
o Quantitative
• Data representation:
o Bar charts
o Pie charts
o Line graphs
• Mean, median, mode
• Range and basic interpretation
• Introduction to probability (simple events)
• Real-world data analysis applications
