Course Syllabus
🧮 Class 10 Mathematics (NCERT / CBSE)
Chapters
- Real Numbers
- Euclid’s Division Lemma, Fundamental Theorem of Arithmetic, revisiting irrational numbers.
- Polynomials
- Relationship between zeroes and coefficients, division algorithm for polynomials.
- Pair of Linear Equations in Two Variables
- Graphical and algebraic solutions (substitution, elimination, cross-multiplication), applications.
- Quadratic Equations
- Solutions by factorisation, completing the square, and quadratic formula; nature of roots.
- Arithmetic Progressions
- nth term and sum of n terms, applications in daily life.
- Triangles
- Similarity of triangles, criteria, areas, and Pythagoras theorem (proof and applications).
- Coordinate Geometry
- Distance formula, section formula, area of triangle.
- Introduction to Trigonometry
- Trigonometric ratios, identities, and complementary angles.
- Applications of Trigonometry
- Heights and distances (simple problems).
- Circles
- Tangent properties, number of tangents from a point.
- Constructions
- Division of a line segment, tangent to a circle, similar triangles construction.
- Areas Related to Circles
- Perimeter and area of sectors and segments.
- Surface Areas and Volumes
- Cones, cylinders, spheres, frustums, and combinations of solids.
- Statistics
- Mean, median, mode of grouped data, graphical representation (histograms, polygons).
- Probability
- Classical definition, simple problems on single events.
🔬 Class 10 Science (NCERT / CBSE)
Units and Chapters
Unit I: Chemical Substances – Nature and Behaviour
- Chemical Reactions and Equations
- Acids, Bases and Salts
- Metals and Non-Metals
- Carbon and Its Compounds
Unit II: World of Living
- Life Processes – Nutrition, respiration, transportation, excretion.
- Control and Coordination in Animals and Plants
- How Do Organisms Reproduce?
- Heredity and Evolution
Unit III: Natural Phenomena
- Light – Reflection and refraction, mirror and lens formula.
- The Human Eye and the Colourful World
Unit IV: Effects of Current
- Electricity – Ohm’s law, resistors, power, heating effect.
- Magnetic Effects of Electric Current – Magnetic field, electric motor, and generator.
Unit V: Natural Resources
- Sources of Energy
- Our Environment
- Management of Natural Resources
📘 Class 10 English (NCERT / CBSE)
Book 1 – First Flight (Main Reader)
Prose
- A Letter to God
- Nelson Mandela: Long Walk to Freedom
- Two Stories about Flying
- From the Diary of Anne Frank
- The Hundred Dresses – I
- The Hundred Dresses – II
- Glimpses of India
- Mijbil the Otter
- Madam Rides the Bus
- The Sermon at Benares
- The Proposal (Play)
Poems
- Dust of Snow
- Fire and Ice
- A Tiger in the Zoo
- How to Tell Wild Animals
- The Ball Poem
- Amanda!
- Animals
- The Trees
- Fog
- The Tale of Custard the Dragon
- For Anne Gregory
Book 2 – Footprints Without Feet (Supplementary Reader)
- A Triumph of Surgery
- The Thief’s Story
- The Midnight Visitor
- A Question of Trust
- Footprints Without Feet
- The Making of a Scientist
- The Necklace
- The Hack Driver
- Bholi
- The Book That Saved the Earth
Grammar & Writing Skills
Grammar Topics:
- Tenses, Modals, Subject–Verb Agreement
- Reported Speech
- Clauses and Connectors
- Determiners
Writing Skills:
- Letter Writing (formal/informal)
- Article Writing
- Analytical Paragraphs
- Story Writing / Report Writing
Reading Skills:
- Two unseen passages (factual, discursive, or literary)
- One poem comprehension
✅ Summary Overview
SubjectNo. of ChaptersKey Skill AreasMathematics15Problem Solving, Logical ReasoningScience15Conceptual Understanding, ApplicationEnglish21 + 10Reading, Writing, Grammar, Literature