Mathematics

Angle subtended by a chord at a point

Mathematics

Example for Constructing a Triangle

Mathematics

Graph of Linear Equations in Two Variables

Topics Covered

  • Introduction
  • Irrational Numbers
  • Real Numbers and their Decimal Expansions
  • Representing Real numbers on the Number Line
  • Operations and Real Numbers
  • Laws of Exponents for Real Numbers
  • Summary
  • Introduction
  • Polynomials in One Variable
  • Zeroes of a Polynomial
  • Remainder Theorem
  • Factorisation of Polynomials
  • Algebraic Identities
  • Summary
  • Introduction
  • Cartesian System
  • Plotting a Point in the Plane if its Coordinates are Given
  • Summary
  • Introduction
  • Linear Equations
  • Solution of a Linear Equation
  • Graph of a Linear Equation in Two Variables
  • Equations of Lines Parallel to the x-axis and y-axis
  • Summary
  • Introduction
  • Euclids Definitions, Axioms and Postulates
  • Equivalent Versions of Euclids Fifth Postulate
  • Summary
  • Introduction
  • Basic Terms and Definitions
  • Intersecting Lines and Non-intersecting Lines
  • Pairs of Angles
  • Axiom : If a Ray stands on a Line, then the Sum of two Adjacent Angles so formed is 180 Axiom: If the Sum of two Adjacent Angles is 180 degree Theorem : If Two Lines Intersect Each Other, then the Vertically Opposite Angles are Equal. Parallel Lines and a Transversal
  • Axiom : Each Pair of Corresponding Angle is Equal. Axiom : Pair of Corresponding Angle is Equal, then the Two Lines are Parallel to each other. Theorem : Pair of Alternate Interior Angles is Equal. Theorem : Pair of Interior Angles on the same Side of the Transversal is Supplementary. Angle Sum Property of a Triangle
  • Theorem:The Sum of the Angles of a Triangle is 180 degree Theorem :Exterior Angle so formed is equal to the Sum of the Two Interior Opposite Angles. Summary
  • Lines Parallel to the Same Line
  • Introduction
  • Congruence of Triangles
  • Criteria for Congruence of Triangles
  • Axiom(7.1) SAS congruence rule:Two Triangles are Congruent if Two Sides and the included Angle of one Triangle are equal to the sides and the included Angle of the other Triangle. Theorem(7.1)::ASA congruence rule : Two Triangles are Congruent if Two Angles and the included Side of one Triangle are Equal to Two Angles and the included Side of other Triangle. Some Properties of a Triangle
  • Theorem(7.2) : Angles Opposite to Equal Sides of an Isosceles Triangle are Equal. Some More Criteria for Congruence of Triangles.
  • Theorem (7.4) SSS Congruence rule : If Three Sides of One Triangle are equal to the Three Sides of another Triangle, then the Two Triangles are Congruent. Theorem( 7.5) RHS Congruence Rule : If in Two Right Triangles the Hypotenuse and One Side of one Triangle are equal to the Hypotenuse and One side of the other triangle, then the Two Triangles are Con Inequalities in a Triangle
  • Summary
  • Introduction
  • Angle Sum Property of a Quadrilateral
  • Types of Quadrilaterals
  • Properties of a Parallelogram
  • Theorem (8.1 ): A Diagonal of a Parallelogram Divides it into Two Congruent Triangles. Theorem( 8.2) : In a Parallelogram, Opposite Sides are Equal. Theorem( 8.4) : In a Parallelogram, Opposite Angles are Equal. Theorem( 8.6) : The Diagonals of a Parallelogram Bisect each other. Another Condition for a Quadrilateral to be a Parallelogram
  • Theorem (8.8) : A Quadrilateral is a Parallelogram if a Pair of Opposite Sides is Equal and Parallel The Mid-point Theorem
  • Theorem( 8.9) : The Line Segment joining the Mid-points of Two Sides of a Triangle is Parallel to the Third Side. Theorem( 8.10) : The Line drawn through the Mid-point of One Side of a Triangle,Parallel to another Side Bisects the Third Side. Summary
  • Introduction
  • Figures on the Same Base and Between the Same Parallels
  • Parallelograms on the Same Base and Between the same Parallels
  • Theorem( 9.1) : Parallelograms on the Same Base and between the Same Parallels are Equal in Area. Theorem( 9.2): Two Triangles on the Same Base and between the Same Parallels are Equal in Area. Triangles on the same Base and between the same Parallels
  • Summary
  • Introduction
  • Circles and Its Related Terms: A Review
  • Angle Subtended by a Chord at a Point
  • Theorem (10.1) : Equal Chords of a Circle Subtend Equal Angles at the Centre. Theorem (10.2) : If the Angles Subtended by the Chords of a Circle at the Centre are Equal, then the Chords are Equal. Perpendicular from the Centre to a Chord
  • Theorem( 10.3) : The Perpendicular from the Centre of a Circle to a Chord Bisects the Chord. Circle through Three Points
  • Theorem( 10.5) : There is One and only One Circle passing through Three given Non-Collinear Points. Equal Chords and Their Distances from the Centre
  • Theorem (10.6) : Equal Chords of a Circle (or of congruent circles) are Equidistant from the Centre (or centres). Angle Subtended by an Arc of a Circle
  • Theorem (10.8) : The Angle Subtended by an Arc at the Centre is Double the Angle Aubtended by it at any Point on the Remaining Part of the Circle Theorem (10.9 ) : Angles in the Same Segment of a Circle are Equal. Theorem (10.10 ): If a Line Segment joining Two Points Subtends Equal Angles at Two other Points lying on the Same Side of the Line containing the Line Segment, the Four points lie on a Circle (i.e. t Cyclic Quadrilaterals
  • Theorem (10.11) : The Sum of Either Pair of Opposite Angles of a Cyclic Quadrilateral is 180?. Theorem (10.12) : If the Sum of a Pair of Opposite Angles of a Quadrilateral is180?, the Quadrilateral is Cyclic. Summary
  • Introduction
  • Basic Constructions
  • Construction( 11.1 )To Construct the Bisector of a Given Angle. Construction (11.2) To Construct the Perpendicular Bisector of a Given Line Segment. Construction (11.3 )To Construct an Angle of 60 ?at the Initial Point of a Given Ray. Some Constructions of Triangles
  • Construction( 11.4 )To Construct a Triangle, given its Base, a Base Angle and Sum of other Two Sides. Construction (11.5) To Construct a Triangle given its Base, a Base Angle and the Difference of the other two Sides. Construction 11.6 : To construct a triangle, given its perimeter and its two base Angles Summary
  • Introduction
  • Area of a Triangle by Herons Formula
  • Application of Herons Formula in Finding Areas of Quadrilaterals
  • Summary
  • Introduction
  • Surface Area of a Cuboid and a Cube
  • Surface Area of a Right Circular Cylinder
  • Surface Area of a Right Circular Cone
  • Surface Area of a Sphere
  • Volume of a Cuboid
  • Volume of a Cylinder
  • Volume of a Right Circular Cone
  • Volume of a Sphere
  • Summary
  • Introduction
  • Collection of Data
  • Presentation of Data
  • Graphical Representation of Data
  • Measures of Central Tendency
  • Summary
  • Introduction
  • Probability ? an Experimental Approach
  • Summary

Physics

Friction

Physics

Kepler’s Laws Of Planetary Motion

Physics

Wave motion

Topics Covered

Physics

  • Describing Motion
  • Motion along a straight line Uniform motion and non-uniform motion Measuring the Rate of Motion
  • Speed with Direction Rate of Change of Velocity
  • Graphical Representation of Motion
  • Distance-Time graph Velocity-Time graph Equations of Motion by Graphical method
  • Equation for Velocity-Time Relation Equation for Position-Time Relation Equation for Position-Velocity Relation Uniform Circular Motion
  • Balanced and Unbalanced Forces
  • Newtons First law of Motion
  • Inertia and Mass
  • Newtons Second Law of Motion
  • Mathematical formulation of Second Law of Motion Third Law of Motion
  • Conservation of Momentum
  • Gravitation
  • Universal Law of Gravitation Importance of the Universal Law of Gravitation Free Fall
  • To calculate the value of g Mass
  • Weight
  • Weight of an object on the moon Thrust and Pressure
  • Pressure in Fluids Buoyancy Why Objects Float or Sink when placed on the Surface of Water? Archimede's Principle
  • Relative Density
  • Work
  • Not much "work" in spite of Working Hard Scientific Conception of Work Work Done by a Constant Force Energy
  • Forms of Energy Kinetic Energy Potential Energy Potential energy of an object at a Height Are Various Energy Forms Interconvertible? Law of Conservation of Energy Rate of Doing Work?
  • Commercial Unit of Energy
  • Production of Sound
  • Propagation of Sound
  • Sound needs a Medium to Travel Sound Waves are Longitudinal Waves Characteristics of a Sound Wave Speed of Sound in Different Media Reflection of Sound
  • Echo Reverberation Uses of Multiple Reflection of Sound Range of Hearing
  • Applications of Ultrasound
  • Sonar Structure of Human Ear

Chemistry

Arrangement of electrons

Chemistry

Evaporation

Chemistry

Mole concept

Topics Covered

  • Physical Nature of Matter
  • Matter is made of Particles and How small are these Particles Characteristics of Particles of Matter
  • Particles of Matter are Continuously Moving Particles of Matter have Space between them Particles of Matter Attract each other State of Matter
  • States of matter - Solid, Liquid and Gaseous state Can Matter Change its State?
  • Effect of Change of Temperature Effect of Change of Pressure Evaporation
  • Factors Affecting Evaporation and Evaporation causes cooling
  • What is a Mixture?
  • Types of Mixture What is a Solution?
  • Concentration of a Solution What is a Suspension? What is a Colloidal Solution? Separating the Components of a Mixture
  • How can we Separate Cream from Milk? How can we separate a mixture of two Immiscible Liquids? How can we separate a mixture of Salt and Ammonium Chloride? Is the Dye in Black Ink a Single Colour? How can we separate a mixture of two Miscible Liquids? How can we obtain different Gases from Air? How can we obtain Pure Copper Sulphate from an Impure Sample? Physical and Chemical Changes
  • What are the types of Pure Substances?
  • Elements Compounds
  • Laws of chemical combination
  • Law of Conservation of Mass Law of Constant Proportion What is an Atom?
  • Modern day symbols of Atoms of different elements and Atomic mass How do Atoms Exist What is a Molecule?
  • Molecules of Elements and Compounds What is an Ion Writing Chemical Formulae
  • Formulae of Simple Compouds Molecular mass and Mole Concept
  • Molecular Mass Formula Unit Mass Mole Concept
  • Charged Particles in Matter
  • The Structure of an Atom
  • Thomson's Model of an Atom Rutherford's Model of Atom Drawbacks of Rutherfords Model of the Atom Bohr's Model of Atom Neutrons How are Electrons Distributed in Different Orbits (Shells)
  • Valency
  • Atomic and Mass Number
  • Atomic Number Mass Number Isotopes

Biology

Endopalsmic reticulum

Biology

Nitrogen cycle

Biology

Ozone layer

Topics Covered

  • What are living organisms made up of?
  • What is a Cell Made Up of ? What is the Structural Organisation of a Cell?
  • Plasma Membrane or Cell Membrane Cell Wall Nucleus Cytoplasam Cell Organelles Endoplasmic Reticulum Golgi Apparatus Lysosome Mitochondria Plastids Vacuoles
  • Are plants and animals made of same types of tissues?
  • Plant Tissues
  • Meristematic Tissue Permenant Tissue-Simple Permanent Tissue and Complex Permanent Tissue Animal Tissues
  • Epithelial Tissue Connective Tissue Muscular Tissue Nervous Tissue
  • What is the basis of Classification of Organisms
  • Classification and Evolution
  • The Hierarchy of Classification-Groups
  • Monera Protista Fungi Plantae Animalia Plantae
  • Thallophyta Bryophyta Pteridophyta Gymnosperms Angiosperms Animalia
  • Porifera Coelenterata Platyhelminthes Nematoda Annelida Arthropoda Mollusca Echinodermata Protochordata Vertebrata Pisces Amphibia Reptilia Aves Mammalia Nomenclature
  • Health and its Failure
  • The Significance of Health Personal and Community Issues both matter for Health Distinction between "Healthy" and "Disease free" Diseases and its Causes
  • What does Disease look like? Acute and Chronic Diseases Chronic diseases and Poor Health Causes of diseases Infectious and Non Infectious Causes Infectious Diseases
  • Infectious Agents Means of Spread Organ Specific and TissueSpecific Manifestations Principles of Treatment Principles of Prevention
  • The Breath of life: Air
  • The Role of the Atmosphere in Climate Control The Movement of Air : Winds Rain Air Pollution Water: A Wonder Liquid
  • Water Pollution Mineral Riches in the Soil
  • Biogeochemical Cycles
  • The Water-Cycle The Nitrogen- Cycle The Carbon Cycle The Green House Effect The Oxygen Cycle Ozone Layer
  • Improvement in Crop Yields
  • Crop Variety Improvement Crop Production Management Nutrient Management Irrigation Cropping Patterns Crop Protection Management Animal Husbandry
  • Cattle Farming Poultry Farming Fish Production Marine Fisheries Inland Fisheries Bee Keeping
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