Arun Kumar
Online
Skills
About
Arun Kumar holds a B-tech degree and has over 10 years of experience in teaching. He is passionate about helping students understand complex concepts in a simple and engaging manne...
Arun Kumar
Online
Skills :
Arun Kumar holds a B-tech degree and has over 10 years of experience in teaching. He is passionate about helping students understand complex concepts in a simple and engaging manne...
Courses by: Arun Kumar
All Cbse Subjects - Arun Kumar
🔹 Module 1: CBSE Foundation (Classes 1–5)
Basics of English, Math & EVS
Reading, writing & grammar skills
Numbers, shapes, measurements
Interactive learning through activities
Worksheets & regular assessments
🔹 Module 2: Middle School Subjects (Classes 6–8)
Mathematics
Number system, algebra, geometry
Data handling, mensuration
Science
Physics, Chemistry, Biology basics
Experiments & real-life applications
Social Science
History, Civics, Geography
English & Hindi
Grammar, comprehension, writing skills
🔹 Module 3: Secondary Level (Classes 9–10)
Mathematics
Linear equations, polynomials
Trigonometry, statistics, probability
Science
Physics: motion, electricity
Chemistry: atoms, reactions
Biology: life processes, heredity
Social Science
Democratic politics
Contemporary India
Economics basics
English
Literature, grammar, writing sections
🔹 Module 4: Senior Secondary (Classes 11–12)
Science Stream Subjects
Physics
Chemistry
Mathematics
Biology
Commerce Stream
Accountancy
Business Studies
Economics
Humanities
Political Science
History
Geography
Sociology
(Any stream subjects can be included based on student requirement.)
🔹 Module 5: Exam & Performance Support
NCERT-based learning
Chapter-wise tests
Model papers & sample question solving
Time management & revision techniques
Doubt-clearing sessions
ICSE Mathematics- Arun Kumar
🔹 Module 1: ICSE Mathematics – Foundation (Classes 6–7)
Number system & integers
Fractions, decimals & percentages
Basic algebraic expressions
Geometry fundamentals
Practical geometry
Mensuration basics
Data handling & graphs
🔹 Module 2: Pre-Board Mathematics (Class 8)
Exponents & powers
Factorisation
Linear equations in one variable
Understanding shapes & geometrical concepts
Introduction to probability
Coordinate geometry basics
Profit, loss & discount
🔹 Module 3: ICSE Class 9 Mathematics
Rational & irrational numbers
Algebra: polynomials, identities
Coordinate geometry concepts
Geometry: triangles, quadrilaterals, circles
Statistics & data interpretation
Trigonometry introduction
Mid-term & annual revision test papers
🔹 Module 4: ICSE Class 10 Mathematics (Board Focus)
Quadratic equations
Similarity in geometry
Trigonometry: heights & distances
Mensuration: solids, surface area, volume
Factorisation & matrices (ICSE-specific topics)
Statistics & probability
Arithmetic & geometric progressions
Full board exam syllabus coverage
Solving specimen papers & past-year papers
🔹 Module 5: Practice & Assessments
Chapter-wise worksheets
Concept drills & formula recap
Weekly tests & monthly revisions
ICSE board pattern mock tests
State Board Maths - Arun Kumar
🔹 1. Number System
Natural, Whole & Rational Numbers
Prime & Composite Numbers
Decimal & Fraction Operations
Ratio & Proportion
LCM & HCF with Word Problems
🔹 2. Algebra Fundamentals
Algebraic Expressions
Linear Equations in One Variable
Polynomials & Identities
Factorization Methods
Simple & Practical Algebra Applications
🔹 3. Geometry
Lines, Angles & Triangles
Properties of Quadrilaterals
Circles – Chords, Tangents & Properties
Coordinate Geometry Basics
Constructions using Compass & Scale
🔹 4. Mensuration
Perimeter & Area of Plane Figures
Surface Area & Volume of Solids
Cuboid, Cube, Cylinder & Cone Calculations
Real-life Applications & Shortcut Methods
🔹 5. Statistics & Data Handling
Mean, Median & Mode
Bar Graphs, Pie Charts, Line Graphs
Data Collection & Representation
🔹 6. Trigonometry (for higher classes)
Ratios of Standard Angles
Trigonometric Identities
Heights & Distances (Basic Applications)
🔹 7. Arithmetic
Profit & Loss
Simple & Compound Interest
Time, Speed & Distance
Time & Work
Percentage & Discounts
🔹 8. Exam Preparation Module
Chapter-wise Question Banks
Previous Year State Board Papers
Mock Tests with Step-by-Step Solutions
Error Analysis & Performance Tracking
Cambridge Lower Secondary & IGCSE Maths - Arun Kumar
1. Number & Algebra
Integers, powers & roots
Fractions, decimals & percentages
Ratios & proportional reasoning
Algebraic expressions
Linear equations & inequalities
2. Geometry & Measure
Properties of 2D & 3D shapes
Perimeter, area & volume
Angle properties & constructions
Transformations: reflection, rotation, translation, enlargement
3. Statistics & Probability
Data collection & representation
Mean, median, mode & range
Probability basics with real-life examples
4. Problem-Solving & Reasoning Skills
Multi-step word problems
Logical reasoning questions
Real-life applications across science & finance
📌 IGCSE Mathematics (Core & Extended)
1. Number
Standard form & bounds
Estimation techniques
Percentages, ratios & rates
Sequences & patterns
2. Algebra
Algebraic manipulation
Quadratic equations & graphs
Simultaneous equations
Inequalities & absolute values
Functions & coordinate geometry
3. Geometry
Similarity & congruence
Circle theorems
Polygons & angle calculations
Trigonometry (basic & advanced)
Vectors & transformations
4. Mensuration
Area & perimeter of complex shapes
Surface area & volume of 3D solids
Density, speed & acceleration
5. Statistics & Probability
Statistical diagrams (bar, histogram, polygon)
Cumulative frequency, box plots
Probability with independent & dependent events
Ib Board Mathematics - Arun Kumar
1. Number & Algebra
Sequences & series
Exponents & logarithms
Polynomial, rational & exponential functions
Complex numbers (HL)
2. Functions
Domain, range & transformations
Inverse & composite functions
Trigonometric functions & identities
Calculus-based function analysis
3. Geometry & Trigonometry
Trigonometric equations
Vectors in 2D & 3D
Scalar & vector products
Applications in physics & engineering
4. Calculus
Limits & continuity
Differentiation & applications
Integration & applications
Differential equations (HL)
Optimization & area/volume problems
5. Statistics & Probability
Sampling & data analysis
Normal distribution
Correlation & regression
Probability distributions (binomial, Poisson, normal)
Inferential statistics (HL)