Finding the Height of the Tree and Width of the River
Topics Covered
Introduction
Euclids Division Lemma
Theorem for Euclid’s Division Lemma The Fundamental Theorem of Arithmetic
Revisiting Irrational Numbers
Theorem Related to Revisiting Irrational Numbers Revisiting Rational Numbers and Their Decimal
Expansions
Theorem Related to Revisiting Rational Numbers and Their Decimal Expansions Summary
Introduction
Geometrical Meaning of the Zeroes of a Polynomial
Relationship between Zeroes and Coefficients of a Polynomia
Division Algorithm for Polynomials
Summary
Introduction
Pair of Linear Equations in Two Variables
Graphical Method of Solution of a Pair of Linear Equations
Algebraic Methods of Solving a Pair of Linear Equations
Substitution Method Elimination Method Cross - Multiplication Method Equations Reducible to a
Pair of Linear Equations in Two Variables
Summary
Introduction
Quadratic Equations
Solution of a Quadratic Equation by Factorisation
Solution of a Quadratic Equation by Completing the Square
Nature of Roots
Summary
Introduction
Arithmetic Progressions
nth Term of an AP
Sum of First n Terms of an AP
Summary
Introduction
Similar Figures
Similarity of Triangles
Basic Proportionality Theorem Criteria for Similarity of Triangles
Areas of Similar Triangles
Theorem - The ratio of the areas of two similar triangles Pythagoras Theorem
Pythagoras Theorem Proof for Pythagoras Theorem Converse of Pythagoras Theorem Summary
Introduction
Distance Formula
Section Formula
Area of a Triangle
Summary
Introduction
Trigonometric Ratios
Trigonometric Ratios of Some Specific Angles
Trigonometric Ratios of Complementary Angles
Trigonometric Identities
Summary
Introduction
Heights and Distances
Summary
Introduction
Tangent to a Circle
Number of Tangents from a Point on a Circle
Summary
Introduction
Division of a Line Segment
Construction of Tangents to a Circle
Construction 11.3 To construct the tangents to a circle from a point outside it. Summary
Introduction
Perimeter and Area of a Circle A Review
Areas of Sector and Segment of a Circle
Areas of Combinations of Plane Figures
Summary
Introduction
Surface Area of a Combination of Solids
Volume of a Combination of Solids
Conversion of Solid from One Shape to Another
Frustum of a Cone
Summary
Introduction
Mean of Grouped Data
Mode of Grouped Data
Median of Grouped Data
Graphical Representation of Cumulative Frequency Distribution
Summary
Introduction
Probability A Theoretical Approach
Summary
Physics
Causes of electric current
Physics
Electric generators and Dynamo
Physics
Power of accomodation of eye
Topics Covered
Physics
Reflection of Light
Spherical Mirrors
Image Formation by Spherical Mirrors Representation of Images Formed by Spherical Mirrors Using
Ray Diagrams Sign Convention for Reflection by Spherical Mirrors Mirror Formula and Magnification
Refraction of Light
Refraction through a Rectangular Glass Slab The Refractive Index Refraction by Spherical Lenses
Image Formation by Lenses Image Formation in Lenses Using Ray Diagrams Sign Convention for
Spherical Lenses Lens Formula and Magnification Power of a Lens
The Human eye
Power of Accommodation Defects of Vision and their Correction
Refraction of Light through a Prism
Dispersion of White Light by a Glass Prism
Atmospheric Refraction
Scattering of Light
Tyndall Effect Scattering of light,blue colour of the sky and Colour of the Sun at Sunrise and
Sunset
Electric Current and Circuit
Electric Potential and Potential difference
Circuit diagram
OHMS Law
Factors on which the resistance of a conductor depends
Resistance of a system of Resistors
Resistors in Series or Parellel Heating effect of Electric Current
Practical applications of Heating Efect of Electric Current Electric power
Magnetic Feld and Field Lines
Magnetic Field due to a Current Carrying conductor
Magnetic Field due to a Current through a Straight Conductor Right-Hand Thumb Rule Magnetic Field
due to a Current through a Circular Loop Magnetic Field due to a Current in a Solenoid Force
on a Current Carrying Conductor in a Magnetic Field
Electric Motor
Electro Magnetic Induction
Electric Generator
Domestic Electric Circuits
What is a Good Source of Energy
Conventional Sources of Energy
Fossil Fuels Thermal Power Plant Hydro Power Plants Improvements in the Technology for using
Conventional Sources of Energy Alternative or Non-Conventional Sources of Energy
Solar Energy Energy from the Sea Geothermal Energy Nuclear Energy Environmental Consequences
How long will an Energy Source Last Us?
Chemistry
Chemical Properties of metals
Chemistry
Metallurgy-Concentration of Ore
Chemistry
Rate of reactions
Topics Covered
Chemical Equations
Writing a Chemical Equation Balanced Chemical Equations Types of Chemical Reactions
Combination Reaction Decomposition Reactions Displacement Reactions Double Displacement Reactions
Oxidation and Reduction Effects of Oxidation Reaction in Everyday Life
Corrosion Rancidity
Under Standing the Chemical Properties of Acids and Bases
Acids and Bases in the Laboratory Reaction of acids and bases with Metals Reaction of Metal Carbonates
and Metal Hydrogen Carbonates with acids How do Acids and Bases React with each other? Reaction
of Metallic Oxides with Acids and Non-metallic Oxide with Base What do all Acids and all Bases
have in Common?
What Happens to an Acid or a Base in a Water Solution? How Strong are Acid or Base Solutions?
Importance of pH in Everyday Life More About Salts
Family of Salts pH of Salts Chemicals from Common Salt Are the Crystals of salts really dry
Physical Properties
Metals Non-metals Chemical Properties of Metals
Reaction Metals with Air, Water, Acids and with Solutions of other Metal Salts The Reactivity
Series How do Metals and Non-Metals React?
Properties of Ionic Compounds Occurence of Metals
Extraction of metals low in reactivity series,Middle of the reactivity series and Enrichment
of Ores Corrosion
Prevention of Corrosion
Bonding in Carbon- The Covalent bond
Versatile Nature of Carbon
Saturated and Unsaturated Carbon Compounds Chains, Branches and Rings Will you be my Friend?
Homologous Series Nomenclature of Carbon Compounds Chemical Properties of Carbon Compounds
Combustion Oxidation Addition Reaction Substitution Reaction Some Important Carbon Compounds
Ethanol and Ethanoic Acid
Properties of Ethanol and Ethanoic acid Soaps and Detergents
Making Order out of Chaos Early Attempts at the Classification of Elements
Dobereiner's Triads Newlands' Law of Octaves Making Order out of Chaos Mendeleevs Periodic Table
Achievements and Limitations of Mendeleev’s Periodic Table Making Order out of Chaos – The
Modern Periodic Table
Position of Elements in the Modern Periodic Table Trends in the Modern Periodic Table
Biology
Evidences of paleonthology
Biology
Structure and working of neurons
Biology
The Simple Reflex Arc
Topics Covered
What are Life Processes?
Nutrition
Autotrophic Nutrition Heterotrophic Nutrition How do Organisms obtain their Nutrition Nutrition
in Human Beings Respiration
Respiration in Human beings Human Respiratory System Respiration in Plants Transportation
Transportation in Human beings Our Pump - the Heart Oxygen enters the Blood in the Lungs The
Tubes - Blood Vessels Maintenance by Platelets Lymph Transportation in Plants Transport of
Water Transport of Food and other Substances Excretion
Excretion in Human beings Excretion in Plants
Animals- Nervous System
What Happens in Reflex Actions Human Brain How are these Tissues Protected? How does the Nervous
Tissue cause Action? Coordination in Plants
Immediate Response to Stimulus Movement Due to Growth Hormones in Animals
Reproduction
The Importance of Variation Modes of Reproduction used by Single Organisms
Fission Fragmentation Regeneration Budding Vegetative Propagation Spore Formation Sexual Reproduction
Why the Sexual Mode of Reproduction? Sexual Reproduction in Flowering Plants Reproduction in
Human Beings Male Reproductive System Female Reproductive System What happens when the Egg
is not Fertilised Reproductive Health
Accumulation of Variation during Reproduction
Heredity
Inherited traits Rules for the inheritance of Traits ? Mendels contribut How do these Traits
get Expressed? Sex Determination Evolution
Acquired and Inherited Traits Speciation
Evolution and Classification
Tracing Evolutionary Relationships Fossils Evolution by Stages Evolution should not be Equated
with PROGRESS
Human Evolution
What Happens when We add Our Waste to the Environment?
Eco System and its Components
Food Chains and Webs How do Our Activities Affect the Environment?
Ozone Layer and how it is getting Depleted Managing the Garbage we Produce