Physics
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Mechanics
Thermal Physics
Waves and Optics
Electricity
Electromagnetism
Chemistry
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Structure of Matter
States of Matter
Chemical Reactions
Metals and Non-metals
- Overview
- Hydrogen
- Alkali & Alkaline Earth Metals
- Boron Family
- Carbon Family
- Nitrogen Family
- Oxygen Family
- Halogens
- Noble Gases
- Transition Metals
- Inner transition Metals
- Lanthanides
- Actinides
Biology
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Cell Biology
Genetics
Evolutionary Biology
Plant Form and Function
Animal Form and Function
Human Physiology
Math
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Arithmetic
Algebra
Geometry
Trigonometry
K-11 SYLLABUS MAP
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Physics
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Unit I: Physical World and Measurement
- Unit I: Physical World and Measurement
- Scope and excitement
- Nature of physical laws
- Need for measurement
- Units of measurement
- Systems of units - SI Units
- Fundamental and derived units
- Length, Mass and time measurements
- Accuracy and precision of measuring instruments
- Errors in measurement
- Significant figures
- Dimensions of physical quantities
- Dimensional analysis and its applications
Unit II: Kinematics
- Unit II: Kinematics
- Frame of reference
- Motion in a straight line
- Speed
- Velocity
- Uniform and non-uniform motion
- Average Speed, Average and instantaneous velocity
- Uniform and non - uniform acceleration
- Velocity-time graphs
- Position-time graphs
- Relations for uniformly accelerated motion
- Elementary concepts of differentiation and integration for describing motion
- Scalars and Vectors
- Position and displacement vectors
- General vectors and notation
- Equality of vectors
- Multiplication of vectors by a real number
- Addition and subtraction of vectors
- Relative velocity
- Unit vectors
- Resolution of a vector in a plane – rectangular components
- Scalar and Vector products of Vectors
- Motion in a plane
- Cases of uniform velocity and uniform acceleration - projectile motion
- Uniform circular motion
Unit III: Laws of Motion
- Unit III: Laws of Motion
- Intuitive concept of force
- Inertia
- Newton's first law of motion
- Law of conservation of linear momentum and its applications
- Equilibrium of concurrent forces
- Static friction
- Kinetic friction
- Laws of friction
- Rolling friction
- Lubrication
- Dynamics of uniform circular motion
- Centripetal force
- Examples of circular motion
Unit IV: Work, Energy and Power
- Unit IV: Work, Energy and Power
- Work done by a constant force and a variable force
- Kinetic energy
- Work-energy theorem
- Power
- Notion of potential energy
- Potential energy of a spring
- Conservative forces
- Conservation of mechanical energy
- Non-conservative forces
- Motion in a vertical circle
- Elastic and inelastic collisions in one and two dimensions
Unit V: Motion of System of Particles and Rigid Body
- Unit V: Motion of System of Particles and Rigid Body
- Centre of mass of a two-particle system
- Momentum conservation
- Centre of mass motion
- Torque
- Angular momentum
- Conservation of angular momentum with some examples
- Equilibrium of rigid bodies
- Rigid body rotation and equation of rotational motion
- Moment of inertia
- Radius of gyration
- Statement of parallel and perpendicular axes theorems and their applications
Unit VII: Properties of Bulk Matter
- Unit VII: Properties of Bulk Matter
- Elastic behaviour
- Stress-strain relationship
- Hooke's law
- Modulus of elasticity
- Pascal's law and its applications
- Effect of gravity on fluid pressure
- Viscosity
- Stokes' law
- Terminal velocity
- Reynold's number
- Streamline flow
- Turbulent flow and Critical velocity
- Bernoulli's theorem
- Bernoulli's theorem applications
- Surface energy
- Surface tension
- Angle of contact
- Drops and Bubbles
- Capillary rise
- Heat
- Temperature
- Thermal expansion
- Thermal expansion of solids
- Liquids
- Gases
- Anomalous expansion
- Specific heat capacity
- Cp, Cv - calorimetry
- Change of state - latent heat
- Heat transfer
- Heat conduction
- Thermal conductivity
- Convection
- Radiation
- Qualitative ideas of Black Body Radiation
- Wein's displacement law
- Green House effect
Unit X: Oscillations and Waves
- Unit X: Oscillations and Waves
- Frequency
- Displacement as a function of time
- Simple harmonic motion (SHM) and its equation
- Phase
- Oscillations of a spring
- Restoring force
- Energy in SHM - kinetic and potential energies
- Simple pendulum
- Simple pendulum - derivation of expression for its time period
- Forced and damped oscillations
- Resonance
- Wave motion
- Longitudinal and transverse waves
- Speed of wave motion
- Displacement relation for a progressive wave
- Principle of superposition of waves
- Reflection of waves
- Standing waves in strings
- Fundamental mode and harmonics
- Beats
- Doppler effect
Chemistry
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Unit II: Structure of Atom
- Unit II: Structure of Atom
- Discovery of electron, proton and neutron
- Atomic number
- Isotopes
- Isobars
- Thompson's model and its limitations
- Rutherford's model
- Limitations of Rutherford model
- Bohr's model
- Limitations of Bohr's model
- Concept of shells and subshells
- De Broglie's relationship
- Heisenberg uncertainty principle
- Concept of orbitals
- Quantum numbers
- Shapes of s, p and d Orbitals
- Rules for filling electrons in orbitals - Aufbau principle
- Pauli exclusion principle
- Hund's rule
- Electronic configuration of atoms
Unit III: Classification of Elements and Periodicity in Properties
- Unit III: Classification of Elements and Periodicity in Properties
- Significance of periodic table
- Brief history of the development of periodic table
- Modern periodic law and the present form of periodic table
- Periodic trends in properties of elements
- Atomic radii
- Ionic radii
- Ionization enthalpy
- Electron gain enthalpy
- Electronegativity
- Valence
- Nomenclature of elements with atomic number greater than 100
Unit IV: Chemical Bonding and Molecular Structure
- Unit IV: Chemical Bonding and Molecular Structure
- Valence electrons
- Ionic bond
- Covalent bond, bond parameters
- Lewis structure
- Covalent character of ionic bond
- Polar character of covalent bond
- Valence bond theory
- Resonance
- Geometry of covalent molecules
- VSEPR theory
- Concept of hybridization involving s, p and d orbitals and shapes of some simple molecules
- Molecular orbital theory
- Hydrogen bond
Unit V: States of Matter: Gases and Liquids
- Unit V: States of Matter: Gases and Liquids
- Three states of matter
- Intermolecular interactions
- Intramolecular interactions
- Types of bonding
- Boyle's law
- Charle's law
- Gay Lussac's law
- Avogadro's Law
- Empirical derivation of gas equation
- Avogadro number
- Ideal gas equation
- Kinetic energy and molecular speeds (elementary idea)
- Liquefaction of gases, critical temperature
- Liquid State
- Vapour pressure
- Viscosity
- Surface tension
Unit VI: Thermodynamics
- Unit VI: Thermodynamics
- Concepts of system, Types of systems, Surroundings
- Work, Heat, Energy
- Extensive and intensive properties
- State functions
- First law of thermodynamics
- Enthalpy
- Internal energy
- Heat capacity and specific heat
- Measurement of ΔU and ΔH
- Enthalpy of : Bond dissociation, Atomization, Sublimation, Ionization
- Introduction of entropy as a state function
- Second law of thermodynamics
- Gibbs energy change for spontaneous and non-spontaneous process
- Criteria for equilibrium
- Third law of thermodynamics – Brief introduction
Unit VII: Equilibrium
- Unit VII: Equilibrium
- Equilibrium in physical processes
- Equilibrium in chemical processes
- Dynamic nature of equilibrium
- Law of mass action
- Equilibrium constant
- Factors affecting equilibrium – Le Chatelier's principle
- Ionic equilibrium – ionization of acids
- Ionic equilibrium – ionization of bases
- Strong and weak electrolytes
- Acid strength
- Concept of pH
- Hydrolysis of salts (elementary idea)
- Buffer solutions
- Henderson equation
- Solubility product
- Common ion effect (with illustrative examples)
Unit IX: Hydrogen
- Unit IX: Hydrogen
- Position of hydrogen in periodic table
- Isotopes
- Preparation, Occurrence of hydrogen
- Properties and uses of hydrogen; hydrides – ionic, covalent and interstitial
- Physical and chemical properties of water
- Physical and chemical properties of heavy water
- Hydrogen peroxide – preparation and reactions
- Hydrogen peroxide – use
- Hydrogen peroxide – structure
- Hydrogen peroxide – hydrogen as a fuel
Unit X: s - Block Elements (Alkali and Alkaline earth metals)
- Unit X: s - Block Elements (Alkali and Alkaline earth metals)
- Group 1 and Group 2 elements : General introduction
- Group 1 elements : Electronic configuration
- Occurrence
- Group 2 elements : Electronic configuration
- Occurrence
- Anomalous properties of the first element of each group
- Diagonal relationship
- Trends in the variation of properties (atomic and ionic radii)
- Trends in the variation of properties (ionization enthalpy)
- Trends in chemical reactivity with oxygen, water, hydrogen and halogens; uses
- Preparation and Properties of Some Important Compounds: Sodium carbonate, Sodium chloride, Sodium hydroxide
- Sodium hydrogencarbonate
- Biological importance of sodium and potassium
- Preparation: CaO
- Preparation: CaCO3
- Biological importance of Ca
- Biological importance of Mg
Unit XI: Some p - Block Elements
- Unit XI: Some p - Block Elements
- General Introduction to p -Block Elements
- Group 13 elements : General introduction, electronic configuration
- Occurrence
- Variation of properties
- Oxidation states
- Trends in chemical reactivity
- Anomalous properties of first element of the group
- Boron - physical and chemical properties
- Boron - some important compounds: borax, boric acids, boron hydrides
- Aluminium: Uses, reactions with acids and alkalies
- Group 14 elements : General introduction, electronic configuration, occurrence
- Variation of properties
- Oxidation states
- Trends in chemical reactivity, anomalous behaviour of first element
- Carbon - Catenation, allotropic forms, Physical Properties
- Carbon - Chemical properties
- Uses of some important compounds: oxides
- Important compounds of silicon and a few uses
- Silicon tetrachloride
- Silicones
- Silicates and their uses
- zeolites uses
Unit XII: Organic Chemistry – Some Basic Principles and Techniques
- Unit XII: Organic Chemistry – Some Basic Principles and Techniques
- General introduction
- Methods of purification
- Classification of organic compounds
- IUPAC nomenclature of organic compounds
- Electronic displacements in a covalent bond
- Inductive effect
- Electromeric effect, resonance
- Hyper conjugation
- Homolytic fission of a covalent bond
- Heterolytic fission of a covalent bond
- Carbocations, free radicals, carbanions
- Electrophiles and nucleophiles
- Types of organic reactions
Unit XIII: Hydrocarbons
- Unit XIII: Hydrocarbons
- Classification of Hydrocarbons
- Aliphatic Hydrocarbons
- Alkanes – Nomenclature
- Isomerism
- Conformations (ethane only)
- Physical properties
- Chemical reactions - Combustion
- Chemical reactions - free radical mechanism of halogenation, pyrolysis
- Alkenes – Nomenclature
- Structure of double bond (ethene)
- Geometrical isomerism
- Physical properties
- Chemical reactions: Addition of hydrogen
- Chemical reactions: Addition of halogen
- Hydrogen halides(Markovnikov's addition and peroxide effect)
- Mechanism of electrophilic addition
- Alkynes – Nomenclature
- Structure of triple bond (ethyne)
- Methods of preparation
- Physical properties
- Chemical reactions: acidic character of alkynes
- Addition reaction of - Hydrogen, Halogens, Hydrogen halides and water
- Aromatic hydrocarbons – Introduction
- Benzene: Aromaticity
- Benzene: Resonance
- Chemical properties: Mechanism of electrophilic substitution
- Nitration sulphonation, Halogenation
- Friedel Craft's alkylation and acylation
- Directive influence of functional group in mono-substituted benzene
- Carcinogenicity and toxicity
Unit XIV: Environmental Chemistry
- Unit XIV: Environmental Chemistry
- Environmental pollution – Air
- Water pollution
- soil pollution
- Smogs
- Major atmospheric pollutants
- Acid rain
- Ozone and its reactions
- Effects of depletion of ozone layer
- Greenhouse effect and global warming
- Pollution due to industrial wastes
- Green chemistry as an alternative tool for reducing pollution
- Strategy for control of environmental pollution
Biology
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I. Diversity in Living World
- I. Diversity in Living World
- What is living?
- Biodiversity
- Systematics
- Taxonomy
- Concept of species
- taxonomical hierarchy
- Binomial nomenclature
- Tools for study of Taxonomy
- Museums
- Zoos
- Herbaria
- Botanical gardens
- Five kingdom classification
- Salient features and classification of Monera
- Protista
- Fungi into major groups
- Lichens
- Viruses
- Viroids
- Salient features and classification of plants into major groups - Algae
- Bryophytes
- Pteridophytes
- Gymnosperm
- Angiosperm
- Classification of animals
Cell Structure and Function
- Cell Structure and Function
- Cell theory and cell as the basic unit of life
- Structure of prokaryotic cell
- Structure of eukaryotic cell
- Plant cell and animal cell
- Cell membrane
- Cell wall
- Endomembrane system- endoplasmic reticulum
- Golgi bodies
- Lysosomes
- Vacuoles
- Mitochondria
- Ribosomes
- Plastids
- Microbodies
- Cytoskeleton
- Centrioles
- Nucleus–nuclear membrane
- Chromatin, nucleolus
- Biomolecules
- Carbohydrates
- Lipid
- Nucleic acids
- Enzymes properties
- Enzyme action
- Cell division
- Cell cycle
- Mitosis
- Meiosis and their significance
Plant Physiology
- Plant Physiology
- Transport in plants
- Movement of water, Nutrients
- Cell to cell transport – Diffusion
- Facilitated diffusion
- Active transport
- Plant – water relations - Imbibition
- Water potential
- Osmosis
- Plasmolysis
- Long distance transport of water - Absorption
- Apoplast
- Symplast
- Transpiration pull
- Guttation
- Transpiration - Opening and closing of stomata
- Transport of food
- Phloem transport
- Diffusion of gases
- Mineral nutrition
- Essential minerals
- Macronutrients
- Micronutrients
- Mineral toxicity
- Hydroponics
- Nitrogen metabolism - Nitrogen cycle
- Biological nitrogen fixation
- Photosynthesis
- Photosynthesis as a means of Autotrophic nutrition
- Site of Photosynthesis
- How many pigments are involved in Photosynthesis
- Photochemical and biosynthetic phases of photosynthesis
- Cyclic and non cyclic photophosphorylation
- Chemiosmotic hypothesis
- Photorespiration
- C3 pathways
- C4 pathways
- Factors affecting photosynthesis
- Respiration
- Glycolysis
- Fermentation (anaerobic)
- TCA cycle and electron transport system (aerobic)
- Energy relations - Number of ATP molecules generated
- Amphibolic pathways
- Respiratory quotient
- Plant growth and development
- Seed germination
- Phases of plant growth and plant growth rate
- Differentiation, dedifferentiation and redifferentiation
- Growth regulators – Auxin
- Gibberellin
- Cytokinin
- Ethylene
- ABA
- Seed dormancy
- Vernalisation
- Photoperiodism
Human Physiology
- Human Physiology
- Digestion and absorption
- Alimentary canal
- Glands
- Role of digestive enzymes
- Gastrointestinal hormones
- Peristalsis
- Digestion
- Absorption and assimilation of Proteins, Carbohydrates, Fats
- Nutritional and digestive disorders – PEM
- Indigestion
- Constipation
- Vomiting
- Jaundice
- Diarrhea
- Breathing and Respiration
- Respiratory organs in animals (recall only)
- Respiratory system in humans
- Exchange of gases
- Transport of gases and regulation of respiration
- Respiratory volumes
- Respiratory Disorders
- Asthma
- Emphysema
- Occupational disorders
- Respiratory disorders
- Body fluids and circulation
- Composition of blood
- Blood groups
- Coagulation of blood
- Composition of lymph and its function
- Human circulatory system - Structure of human heart
- Blood Vessels
- Cardiac cycle
- ECG
- Double circulation
- Regulation of cardiac activity
- Disorders of circulatory system - Hypertension
- Coronary artery disease
- Angina pectoris
- Heart failure
- Human excretory system – structure and fuction
- Urine formation
- Osmoregulation
- Regulation of kidney function - Renin-angiotensin
- Atrial Natriuretic Factor
- ADH and Diabetes insipidus
- Role of other organs in excretion
- Disorders
- Renal failure
- Renal calculi
- Nephritis
- Dialysis
- Locomotion and Movement
- Muscle - Types of muscle fibers
- Skeletal muscle – contractile protein
- Muscle contraction
- Skeletal system and its functions
- Joints
- Nervous system
- Neuron
- Nerves
- Nervous system in humans
- Central nervous system
- Peripheral nervous system
- Generation of nerve impulse
- Conduction of nerve impulse
- Reflex action
- Sense organs
- Sensory perception
- Eye
- Ear
- Chemical coordination and regulation
- Hormones and Endocrine System
- Human endocrine system
- Hypothalamus
- Pituitary
- Pineal
- Thyroid
- Parathyroid
- Adrenal
- Pancreas
- Gonads
- Mechanism of hormone action (Elementary Idea)
- Role of hormones as messengers and regulators
Math
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UNIT I: SETS AND FUNCTIONS
- Sets
- Relations and Functions
- Ordered pairs
- Cartesian Product of two finite Sets
- Number of elements in the Cartesian product of two finite sets
- Cartesian product of the reals with itself (upto R × R × R)
- Definition of relation
- Domain and Range of a Relation
- Representation of a Function
- Domain, co-domain and range of a function
- Real valued function of the real variable
- Domain of Real Valued Function
- Constant and identity functions
- Polynomial function
- Rational function
- Modulus function
- Signum function with their graph
- Greatest integer function
- Algebra of real functions
- Trigonometric Functions
- Positive and negative angles
- Measuring angles in radians and in degrees
- Relation between radian and real numbers
- Relation between degree and radian
- Notational Convention
- Trigonometric functions
- Signs of trigonometric functions
- Domain and range of trigonometric functions
- Trigonometric functions of sum and Difference of two angles
- Trigonometric Equations
UNIT II : ALGEBRA
UNIT III : COORDINATE GEOMETRY
K-12 SYLLABUS MAP
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Physics
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Unit I: Electrostatics
- Unit I: Electrostatics
- Electric Charge
- Electric charges conservation
- Coulomb's law - force between two point charges
- Forces between multiple charges, Superposition principle
- Continuous charge distribution
- Electric field
- Electric field due to a point charge
- Electric field lines
- Electric dipole
- Electric field due to a dipole
- Torque on a dipole in a uniform electric field
- Electric flux
- Gauss's Law
- Electric field - Infinitely long straight wire
- Electric Field - Uniformly charged spherical shell
- Electric field - Uniformly charged infinite plane sheet
- Electric potential
- Potential difference
- Electric potential due to a point charge
- A dipole
- System of charges
- Equipotential surfaces
- Electrical potential energy of a system of two point charges
- Electric field due to a Dipole
- Conductors and insulators
- Dielectrics
- Electric polarisation
- Capacitors
- Capacitance
- Combination of capacitors in series
- Combination of capacitors in parallel
- Capacitance of a parallel plate capacitor with and without dielectric medium between the plates
- Energy stored in a capacitor
- Van de Graaff generator
Unit II: Current Electricity
- Unit II: Current Electricity
- Electric current
- Flow of electric charges in a metallic conductor
- Drift velocity
- Ohm's law
- Electrical resistance
- V-I characteristics
- Electrical resistivity and conductivity
- Colour code for carbon resistors
- Resistances in series
- Resistances in parallel
- Internal resistance of a cell
- Potential difference
- EMF of a cell
- Cells in series and in parallel
- Kirchhoff 's laws and simple applications
- Wheatstone bridge
- Metre bridge
- Potentiometer
- EMF and Internal resistance
Unit III: Magnetic Effects of Current and Magnetism
- Unit III: Magnetic Effects of Current and Magnetism
- Concept of magnetic field
- Oersted's experiment
- Biot - Savart law and its application to current carrying circular loop
- Ampere's law and its applications to infinitely long straight wire
- Ampere's law in solenoids
- Ampere's law in toroids
- Force on a moving charge in uniform magnetic and electric fields
- Cyclotron
- Magnetic force on a current carrying conductor
- Torque on a current carrying coil
- Moving coil galvanometer - its current sensitivity and conversion to ammeter and voltmeter
- Current loop as a magnetic dipole and its magnetic dipole moment
- Magnetic dipole moment of a revolving electron
- Bar magnet as an equivalent solenoid
- Magnetic field lines
- Earth's magnetic field and magnetic elements
- Para, dia and ferro - magnetic substances, with examples
- Electromagnets
- Permanent magnets
Unit IV: Electromagnetic Induction and Alternating Currents
- Unit IV: Electromagnetic Induction and Alternating Currents
- Electromagnetic induction
- Faraday's law
- Induced emf and current
- Lenz's Law
- Eddy currents
- Self and mutual inductance
- Alternating currents
- RMS value of alternating current/voltage
- Capacitive reactance
- Inductive reactance
- Impedance
- Oscillations
- LCR series circuit
- Resonance
- Power in AC circuits
- Electric Generators
- Transformer
Unit VI: Optics
- Unit VI: Optics
- Reflection of light
- Spherical mirrors
- Mirror formula
- Refraction of light
- Total internal reflection
- Optical fibres
- Refraction at spherical surfaces
- Spherical lenses
- Thin lens formula
- Magnification
- Power of a lens, Combination of thin lenses
- Refraction of light through a prism
- Dispersion of light through a prism
- Scattering of light
- Optical instrument
- Human eye
- Image formation
- Accommodation
- Myopia
- Hypermetropia
- Microscopes
- Astronomical telescopes
- Magnification in telescope
- Wavefront
- Huygens' principle
- Proof of laws of reflection
- Refraction using Huygens' principle
- Interference
- Young's double slit experiment
- Coherent and incoherent addition of waves
- Diffraction at a single slit
- Width of central maximum
- Resolving and magnifying power of telescope
- Polarisation
- Plane polarised light
- Brewster's law
- Uses of plane polarized light
- Polaroid glasses
Unit VIII: Atoms and Nuclei
- Unit VIII: Atoms and Nuclei
- Alpha - particle scattering experiment
- Rutherford's model of atom
- Bohr model
- Energy levels
- Hydrogen spectrum
- Composition and size of nucleus
- Atomic masses
- Isotopes
- Isobars
- Isotones
- Radioactivity
- Alpha, Beta and gamma particles/rays and their properties
- Radioactive decay law
- Mass-energy relation
- Mass defect and binding energy
- Nuclear fission
- Nuclear fusion
Unit IX: Electronic Devices
- Unit IX: Electronic Devices
- Energy bands in solids
- Conductors
- Insulators
- Semiconductors
- Semiconductor diode - V-I characteristics
- Diode as a rectifier
- V-I characteristics of an LED
- Photodiode
- Solar cell
- Zener diode
- Zener diode as a voltage regulator
- Junction transistor
- Transistor action
- Characteristics of a transistor
- Transistor as an Amplifier
- Transistor as an oscillator
- Logic gates
Chemistry
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Unit I: Solid State
- Unit I: Solid State
- Classification of solids based on different binding forces
- Molecular solids
- Ionic solids
- Covalent solids
- Metallic solids
- Amorphous solids
- Crystalline solids
- Unit cell in two dimensional and three dimensional lattices
- Calculation of density of unit cell
- Packing efficiency
- Packing in solids
- Voids
- Number of atoms per unit cell in a cubic unit cell
- Point defects
- Electrical properties
- Conductors
- Semiconductors
- n and p type semiconductors
Unit II : Solutions
- Unit II : Solutions
- Types of solutions
- Expression of concentration of solutions of solids in liquids
- Solubility of gases in liquids, solid solutions
- Colligative properties - relative lowering of vapour pressure
- Raoult's law
- Elevation of B.P
- Depression of freezing point
- Osmotic pressure
- Determination of molecular masses using colligative properties
- Abnormal molecular mass
- Vant Hoff factor
Unit III: Electrochemistry
- Unit III: Electrochemistry
- Redox reactions
- Conductance in electrolytic solutions
- Specific conductance variations
- Molar conductivity variations of conductivity with concentration
- Kohlrausch's Law
- Electrolysis
- Laws of electrolysis
- Dry cell
- Galvanic cells
- Electrolytic cells
- Lead accumulator
- EMF of a cell
- Standard electrode potential
- Nernst equation and its application to chemical cells
- Relation between Gibbs energy change and EMF of a cell
- Fuel cells
- Corrosion
Unit IV: Chemical Kinetics
- Unit IV: Chemical Kinetics
- Rate of a reaction
- Factors affecting rates of reaction: concentration
- Factors affecting rates of reaction: temperature
- Factors affecting rates of reaction: catalyst
- Order of a reaction
- Molecularity of a reaction
- Rate law
- Integrated rate equations and half life
- Collision theory
- Activation energy
- Arrhenius equation
Unit V: Surface Chemistry
- Unit V: Surface Chemistry
- Adsorption – physisorption and chemisorption
- Catalysis: homogenous and heterogeneous
- Enzyme catalysis
- Colloidal state: distinction between true solutions, colloids and suspensions
- Lyophillic, lyophobic multimolecular and macromolecular colloids
- Properties of colloids
- Electrophoresis
- Coagulation and it's value
- Emulsions – Types of Emulsions
Unit VII: p-Block Elements
- Unit VII: p-Block Elements
- Group 15 elements
- Electronic configuration
- Occurrence
- Oxidation states
- Trends in physical and chemical properties
- Nitrogen – preparation
- Nitrogen - uses
- Compounds of nitrogen
- Preparation of Ammonia
- Properties of ammonia
- Preparation of nitric acid
- Properties of nitric acid
- Oxides of nitrogen
- Phosphorous-allotropic forms
- Compounds of phosphorous
- Preparation and properties of phosphine
- Halides (PCl3, PCl5)
- Oxoacids of phosphorous
- Group 16 elements
- Electronic configuration
- Oxidation states
- Occurrence
- Trends in physical and chemical properties
- Dioxygen: preparation, properties and uses
- Classification of oxides
- Ozone
- Sulphur – allotropic forms
- Compounds of Sulfur - Preparation, properties and uses of sulphur dioxide
- Sulphuric acid: industrial process of manufacture
- Sulphuric acid properties
- Sulphuric acid uses
- Oxoacids of sulphur
- Group 17 elements : General introduction
- Electronic configuration
- Oxidation states
- Occurrence of Halogens
- Trends in physical and chemical properties of halogens
- Compounds of halogens
- Preparation of halogens
- Properties and uses of chlorine
- Hydrochloric acid
- Interhalogen compounds
- Oxoacids of halogens
- Group 18 element - Electronic configuration
- Trends in physical and chemical properties
- Uses
Unit VIII: d and f Block Elements
- Unit VIII: d and f Block Elements
- d-block elements
- electronic configuration
- General trends in properties of transition metals, Metallic character
- Ionization enthalpy
- Oxidation states
- Ionic radii
- Colour
- Catalytic property
- Magnetic properties
- Interstitial compounds
- Alloy formation
- Preparation of K2Cr2O7
- Properties of K2Cr2O7
- Preparation of KMnO4
- Properties of KMnO4
- Lanthanides
- Electronic configuration
- Oxidation states
- Chemical reactivity of Lanthanides
- Lanthanoid contraction and its Consequences
- Actinoids – Electronic configuration
- Oxidation states
- Comparison with lanthenoids
Unit XI: Alcohols, Phenols and Ethers
- Unit XI: Alcohols, Phenols and Ethers
- Alcohols
- Nomenclature
- Methods of preparation
- Physical and chemical properties
- Identification of primary, secondary and tertiary alcohols
- Uses, with special reference to methanol and ethanol
- Phenols : Nomenclature
- Methods of preparation, physical and chemical properties
- Acidic nature of phenol
- Electrophillic substitution reactions of phenols
- Uses of phenols
- Ethers: Nomenclature
- Methods of preparation of Ethers
- Physical and chemical properties of Ethers
- Uses of Ethers
Unit XII: Aldehydes, Ketones and Carboxylic Acids
- Unit XII: Aldehydes, Ketones and Carboxylic Acids
- Aldehydes and Ketones
- Nomenclature, nature of carbonyl group
- Methods of preparation
- Physical and chemical properties
- Mechanism of nucleophilic addition, reactivity of alpha hydrogen in aldehydes
- Uses of Aldehydes
- Carboxylic Acids : Nomenclature
- Acidic nature
- Methods of preparation, physical and chemical properties
- Uses
Unit XIV: Biomolecules
- Unit XIV: Biomolecules
- Carbohydrates – Classification
- Monosaccharide
- Oligosaccharides
- Maltose and lactose
- Polysaccharides
- Proteins, polypeptides
- Elementary idea of a - amino acids
- Peptide bond
- Primary structure, secondary structure, tertiary structure and quaternary structure
- Denaturation of proteins
- Enzymes
- Vitamins – Classification and functions
- Nucleic Acids
- DNA and RNA
Biology
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I. Reproduction
- I. Reproduction
- Modes of reproduction – Asexual reproduction
- Sexual reproduction
- Modes - Binary fission, sporulation, budding, gemmule
- Fragmentation
- Vegetative propagation in plants
- Sexual reproduction in flowering plants
- Flower structure
- Development of male gametophytes
- Development of female gametophytes
- Pollination – types
- Agents of Pollination
- Out breeding devices
- Pollen-Pistil interaction
- Double fertilization
- Post fertilization events – Development of endosperm and embryo
- Seed Germination
- Special modes – Apomixis, Polyembryony
- Human Reproduction: Male reproductive system
- Human Reproduction: Female reproductive system
- Menstrual cycle
- Fertilisation
- Development of embryo
- Implantation
- Amniocentesis
- Infertility and assisted reproductive technologies – IVF, ZIFT, GIFT (Elementary idea for general awareness)
Genetics and Evolution
- Genetics and Evolution
- Heredity and variation
- Mendelian Inheritance
- Deviations from Mendelism – Incomplete dominance
- Co - dominance
- Multiple alleles and Inheritance of blood groups
- Pleiotropy
- Chromosomal basis of inheritance
- Chromosomes and genes
- Sex determination – In humans
- Linkage and crossing over
- Sex linked inheritance - Haemophilia, Colour blindness
- Mendelian disorders in humans
- Chromosomal disorders in humans
- Down's syndrome
- Turner's syndromes
- Klinefelter's syndromes
- Molecular Basis of Inheritance: Search for genetic material
- DNA as genetic material
- Structure of DNA
- Structure of RNA
- DNA packaging
- DNA replication
- Central dogma
- Transcription
- Genetic code
- Translation
- Gene expression and regulation – Lac Operon
- Human genome project
- DNA finger printing
- Evolution: Origin of life
- Biological evolution
- Evidence of biological evolution (embryology and molecular evidence)
- Comparative anatomy, Paleontological
- Darwin's contribution
- Modern Synthetic Theory of Evolution
- Mechanism of evolution – Variation
- Mutation
- Recombination
- Natural Selection with examples
- Types of natural selection
- Gene flow
- Genetic dirft
- Hardy - Weinberg's principle
- Adaptive Radiation
- Human evolution
Biology and Human Welfare
- Biology and Human Welfare
- Health
- Disease - Pathogens
- Parasites causing human diseases - Malaria
- Filariasis, Ascariasis, Amoebiasis
- Typhoid
- Pneumonia
- Common cold
- Ring worm
- Basic concepts of immunology
- Vaccines
- Cancer
- HIV/AIDs
- Drug
- Alcohol abuse
- Improvement in food production - Animal husbandry
- Plant breeding
- Tissue culture
- Single cell protein
- Apiculture
- Microbes in human welfare
- Industrial production
- Sewage treatment
- Bio control agents
- Bio fertilizers
Ecology and Environment
- Ecology and Environment
- Organisms and Environment - Biomes
- Niche
- Population
- Population Interactions – Mutualism
- Competition
- Predation
- Parasitism
- Population attributes – growth
- Population Ecology
- Birth rate and death rate, Age distribution
- Ecosystems
- Ecosystems: Patterns, Components
- Productivity
- Decomposition
- Energy flow
- Nutrient cycling (carbon and phosphorous)
- Ecological succession
- Ecosystem services
- Biodiversity and its Conservation
- Patterns of Biodiversity
- Importance of Biodiversity
- Biodiversity conservation, Loss of Biodiversity
- Hotspots
- Extinction
- National parks and sanctuaries
- Environmental issues
- Air pollution and its control
- Water pollution and its control
- Agro – chemicals and their effects
- Solid waste management
- Radioactive waste management
- Greenhouse effect and Global warming
- Ozone depletion
- Deforestation
Math
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UNIT II: ALGEBRA
- Matrices
- Introduction
- Matrix
- Order of a matrix
- Types of matrices
- Equality of Matrices
- Operations on Matrices
- Addition of Matrices
- Multiplication of a matrix by a scalar
- Properties of matrix addition
- Properties of scalar multiplication of a matrix
- Multiplication of matrices
- Properties of multiplication of matrices
- Transpose of a Matrix
- Properties of transpose of the matrices
- Symmetric Matrices
- Skew Symmetric Matrices
- Elementary Operation (Transformation) of a Matrix
- Invertible Matrices
- Inverse of a matrix by elementary operations
- Determinants
- Introduction - Determinant
- Determinant of a matrix of order one
- Determinant of a matrix of order two
- Determinant of a matrix of order 3 × 3
- Properties of determinants
- Area of a Triangle
- Minors and Cofactors
- Adjoint of a square matrix
- Inverse of a square matrix
- Solution of system of linear equations using inverse of a matrix
UNIT III: CALCULUS
- Continuity and differentiability
- Introduction - Continuity
- Algebra of continuous functions
- Differentiability
- Derivatives of composite functions
- Derivatives of implicit functions
- Derivatives of inverse trigonometric functions
- Derivatives of Exponential Functions
- Derivatives of Logarithmic Functions
- Derivatives of Functions in Parametric Forms
- Second order derivatives
- Mean Value Theorem
- Rolle's Theorem
- Applications of Derivatives
- Integrals
- Introduction
- Integration as an Inverse Process of Differentiation
- Geometrical interpretation of indefinite integral
- Some properties of indefinite integral
- Comparison between differentiation and integration
- Methods of Integration
- Integration by Substitution
- Integration using trigonometric identities
- Integrals of Some Particular Functions
- Integration by Partial Fractions
- Integration by Parts
- Various Forms of Integrals
- Integrals of some more types
- Definite Integral
- Definite integral as the limit of a sum
- Fundamental Theorem of Calculus
- Area function
- First fundamental theorem of integral calculus
- Second fundamental theorem of integral calculus
- Evaluation of Definite Integrals by Substitution
- Some Properties of Definite Integrals
- Application of Integrals
- Differential Equations
- Introduction
- Basic Concepts
- Order and Degree of a differential equation
- General and Particular Solutions of a Differential Equation
- Formation of a Differential Equation whose General Solution is given
- Procedure to form a differential equation that will represent a given family of curves
- Methods of Solving First Order, First Degree Differential Equations
- Differential equations with variables separable
- Homogeneous differential equations
- Linear differential equations
UNIT IV: VECTORS AND THREE-DIMENSIONAL GEOMETRY
- Vector Algebra
- Introduction
- Some Basic Concepts
- Position Vector
- Direction cosines
- Types of Vectors
- Addition of vectors
- Multiplication of a Vector by a Scalar
- Components of a Vector
- Vector Joining Two Points
- Section Formula
- Product of Two Vectors
- Scalar (or dot) product of two vectors
- Projection of a vector on a line
- Vector (or cross) product of two vectors
- Three-dimensional Geometry
- Introduction
- Direction Cosines and Direction Ratios of a Line
- Relation between the direction cosines of a line
- Direction cosines of a line passing through two points
- Equation of a Line in Space
- Equation of a line through a given point and parallel to a given vector
- Equation of a line passing through two given points
- Angle between Two Lines
- Shortest Distance between Two Lines
- Distance between Two Skew Lines
- Distance between Parallel Lines
- Plane
- Equation of a plane in normal form
- Equation of a plane passing through a point and perpendicular to a given vector
- Equation of the plane passing through three non-collinear points
- Intercept form of the equation of a plane
- Plane passing through the intersection of two given planes
- Coplanarity of Two Lines
- Angle between Two Planes
- Distance of a Point from a Plane
- Angle between a Line and a Plane
Unit VI: Probability
- Probability
- Introduction
- Conditional probability
- Properties of conditional probability
- Multiplication rule of probability
- Independent events
- Baye's theorem
- Partition of a sample space
- Theorem of total probability
- Random variable and its probability distribution
- Probability Distribution of a Random Variable
- Mean and Variance of a random variable
- Bernoulli Trials and Binomial Distribution
- Binomial distribution
K8 - K10 SYLLABUS MAP
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K8 - Science
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Chapter 2: MICROORGANISMS : FRIEND AND FOE
Chapter 11: FORCE AND PRESSURE
K8 - Math
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1. Rational Numbers
3. Understanding Quadrilaterals
5. Data Handling
6. Squares and Square Roots
8. Comparing Quantities
- 8.1 Recalling Ratios and Percentages
- 8.1 Recalling Ratios and Percentages
- 8.2 Finding the Increase or Decrease Per cent
- 8.3 Finding Discounts
- 8.4 Prices Related to Buying and Selling (Profit and Loss)
- 8.5 Sales Tax/Value Added Tax/Goods and Services Tax
- 8.6 Compound Interest
- 8.7 Deducing a Formula for Compound Interest
- 8.8 Rate Compounded Annually or Half Yearly (Semi Annually)
- 8.9 Applications of Compound Interest Formula
9. Algebraic Expressions and Identities
- 9.1 What are Expressions?
- 9.2 Terms, Factors and Coefficients
- 9.3 Monomials, Binomials and Polynomials
- 9.4 Like and Unlike Terms
- 9.5 Addition and Subtraction of Algebraic Expressions
- 9.6 Multiplication of Algebraic Expressions: Introduction
- 9.7 Multiplying a Monomial by a Monomial
- 9.8 Multiplying a Monomial by a Polynomial
- 9.9 Multiplying a Polynomial by a Polynomial
- 9.10 What is an Identity?
- 9.11 Standard Identities
- 9.12 Applying Identities
11. Mensuration
14. Factorisation
K9 - Science
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2. IS MATTER AROUND US PURE
- 2.3 Separating the Components of a Mixture
- 2.3.1 HOW CAN WE OBTAIN COLOURED COMPONENT (DYE) FROM BLUE/BLACK INK?
- 2.3.2 HOW CAN WE SEPARATE CREAM FROM MILK?
- 2.3.3 HOW CAN WE SEPARATE A MIXTURE OF TWO IMMISCIBLE LIQUIDS?
- 2.3.4 HOW CAN WE SEPARATE A MIXTURE OF SALT AND AMMONIUM CHLORIDE?
- 2.3.5 IS THE DYE IN BLACK INK A SINGLE COLOUR?
- 2.3.6 HOW CAN WE SEPARATE A MIXTURE OF TWO MISCIBLE LIQUIDS?
- 2.3.7 HOW CAN WE OBTAIN DIFFERENT GASES FROM AIR ?
- 2.3.8 HOW CAN WE OBTAIN PURE COPPER SULPHATE FROM AN IMPURE SAMPLE?
7. DIVERSITY IN LIVING ORGANISMS
K9 - Math
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10. CIRCLES
- 10.1 Introduction
- 10.2 Circles and Its Related Terms: A Review
- 10.3 Angle Subtended by a Chord at a Point
- 10.4 Perpendicular from the Centre to a Chord
- 10.5 Circle through Three Points
- 10.6 Equal Chords and Their Distances from the Centre
- 10.7 Angle Subtended by an Arc of a Circle
- 10.8 Cyclic Quadrilaterals
13. SURFACE AREAS AND VOLUMES
- 13.1 Introduction
- 13.2 Surface Area of a Cuboid and a Cube
- 13.2 Surface Area of a Cuboid and a Cube
- 13.3 Surface Area of a Right Circular Cylinder
- 13.4 Surface Area of a Right Circular Cone
- 13.5 Surface Area of a Sphere
- 13.6 Volume of a Cuboid
- 13.7 Volume of a Cylinder
- 13.8 Volume of a Right Circular Cone
- 13.9 Volume of a Sphere
K10 - Science
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2. Acids, Bases and Salts
- 2.1 UNDERSTANDING THE CHEMICAL PROPERTIES OF ACIDS AND BASES
- 2.1.1 Acids and Bases in the Laboratory
- 2.1.2 How do Acids and Bases React with Metals?
- 2.1.3 How do Metal Carbonates and Metal Hydrogencarbonates React with Acids?
- 2.1.4 How do Acids and Bases React with each other?
- 2.1.5 Reaction of Metallic Oxides with Acids
- 2.1.6 Reaction of a Non-metallic Oxide with Base
4. Carbon and its Compounds
5. Periodic Classification of Elements
8. How do Organisms Reproduce?
10. Light - Reflection and Refraction
- 10.3 REFRACTION OF LIGHT
- 10.3.1 Refraction through a Rectangular Glass Slab
- 10.3.2 The Refractive Index
- 10.3.3 Refraction by Spherical Lenses
- 10.3.4 Image Formation by Lenses
- 10.3.5 Image Formation in Lenses Using Ray Diagrams
- 10.3.6 Sign Convention for Spherical Lenses
- 10.3.7 Lens Formula
- 10.3.7 Lens Magnification
- 10.3.8 Power of a Lens
14. Sources of Energy
K10 - Math
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