Curriculum | Math & Science | Lower Secondary Level Teachers 2075

Lower Secondary Level Teachers 2075 | Math and Science | Curriculum | Teachers Service Commissions (TSC).

नेपाल सरकार (Government Of Nepal)

शिक्षा सेवा आयोग (Teachers Service Commission)

माध्यमिक शिक्षकको खुला प्रतियोगितात्मक परिक्षाको पाठ्यक्रम, २०७५

(New Curriculum for Open Competitive Examination for Secondary Level Teachers, 2075)

Section : B । Subject : Math and Science । Marks : 60

Also Check:

PDF Download | Curriculum of Primary, Lower Secondary and Secondary Level | Teachers Service Commission 2075

Download in PDF | Curriculum of Math and Science | Lower Secondary Level Teachers 2075 | TSC

I. Content Knowledge in Mathematics:

1 Basics of Numbers, Its Extension and Logics:

1.1 Numbers and numerals, different numeration systems
1.2 Set and set operations (theorems)
1.3 Mathematical logic (v, ᴧ, -, truth table, basic laws) and and writing mathematical language
1.4 Counting system: Combination and permutation
1.5 Binomial theorem and mathematical induction
1.6 Real and complex number system and algebra of complex numbers
1.7 Sequence and series
1.8 Sum of finite natural numbers (n, n2 , n3 )
1.9 Intuition and principle of mathematical induction

2 Basic Algebra and Its Extension:

2.1 Transition from arithmetic to algebra
2.2 Relations, equivalence relations, binary operation and group structure
2.3 Function, graphs and curve sketching
2.4 Polynomials and rational function (relation between roots and coefficients)
2.5 Exponential and logarithmic function
2.6 Inverse of matrix and properties of determinants
2.7 Cramer’s rule in system of linear equation and quadratic equation
2.8 System of inequalities and LPP solutions
2.9 Binomial expansions
2.10 Differential equations and their application

3 Fundamental Trigonometry and Its Extension:

3.1 Trigonometric function and unit circle
3.2 Radian and degree measure
3.3 Solution of trigonometric equations
3.4 Trigonometric equations and general values
3.5 Properties, area and solution of triangle
3.6 Inverse trigonometric function
3.7 Sum, difference, multiple angles and product-sum formulae of trigonometric ratios
3.8 DeMoivre’s theorem, nth roots and Euler’s formula

4 Euclidean and Analytic Geometry:

4.1 Fundamentals of Euclidean geometry: History and development, fundamental properties of Euclidean geometry and axiomatic system
4.2 Selected theorems on parallel lines, triangles, quadrilaterals and circles
4.3 Construction of triangle and quadrilateral
4.4 Curve sketching
4.5 Area and volume of plane and solid figure
4.6 Analytic geometry: History and development
4.7 Distance formula, equation of straight lines and pairs of straight lines
4.8 Definitions and graphical representation of conic sections
4.9 Circles and related theorems and problems
4.10 General concept of parabola, ellipse and hyperbola related

5 Descriptive Statistics and Probability:

5.1 Discrete and continuous data generation, cumulative frequency distribution and frequency distribution and graphical representation of data
5.2 Measure of central tendency : Mean, median and mode
5.3 Measure of dispersion : Range, mean deviation, standard deviation, skewness and kurtosis
5.4 Measure of correlation and regression line
5.5 Simple probability, exclusive and independent events, tree diagram
5.6 Compound probabilities
5.7 Binomial probability distribution and its properties

6 Differential and Integral Calculus:

6.1 Limit and continuity of functions and related problems
6.2 Derivatives of functions and related problems
6.3 Relation between derivatives and integration
6.4 Integration of given function and related problems
6.5 Application of derivatives and integration

7 Vector and Its Application:

7.1 Definition and representation of vectors and different types of vectors
7.2 Operation on vectors: Addition, subtraction, scalar product and vector product with geometrical representations
7.3 Vector geometry : Line, triangles and quadrilaterals
7.4 Application of vectors in geometry and trigonometry
7.5 Co-ordinate in space

II. Content Knowledge in Science 30 Marks:

8 Physics:

8.1 Mechanics : Measurement, scalar & vector quantities, motion, momentum, gravitation, simple harmonic motion, work, energy & power, pressure in fluid, pressure variation in atmospheric pressure and Archimede’s principle
8.2 Wave motion and sound : Vibratory motion, waves, sound pollution, speed of sound and sonometer
8.3 Optics : Reflection & refraction of light, lenses, defects of vision, polarization of light, Newton's ring, and optical instruments
8.4 Magnetism and electricity : Magnetic elements, magnetic effect of current, Faraday’s laws of electromagnetic induction, AC generator & dynamo and DC generator
8.5 Heat : Concept of heat and temperature and its units, thermometry, thermal expansion, thermodynamics and specific heat
8.6 Electrostatic force : Induction, types of charge, insulator and conductor and quantization of electric charge
8.7 Modern physics : Cathode rays, X-Rays, radioactivity, nuclear reaction and nuclear reactions in the sun
8.8 Geology : History of the earth, structure of the earth, types of rocks, green House effect, water cycle, natural disasters, minerals, volcano, earthquake, ozone layer and depletion of ozone layer
8.9 Astronomy : Important constituents of the universe, heliocentric theory, astronomical instruments, galaxies, stars, solar system, satellites, constellations, eclipses

9 Chemistry:

9.1 Language of chemistry : Chemical arithmetic, atoms, molecules, elements & compounds, symbols, valency & formula, chemical equation, types, significances & limitations and balancing the chemical equation
9.2 States of matter : Three states of matter, basic concepts of kinetic theory of gases, equation of state, Dalton's law of partial pressure, Graham's law of diffusion, deviation from ideal behavior, laws of stoichiometry, Avogadro’s hypothesis, relation between molecular weight & vapour density, properties of solid
9.3 Atomic structure and valency : Dalton's atomic theory, Rutherford's atomic model, Bohr's postulates, Aufbau principle, electronic configuration of atoms, theory of valency and basic principle of electrolysis
9.4 Periodic classification and chemical equilibrium : Mendeleef's periodic law, modern periodic law, periodic table, electronic configuration, chemical equilibrium equilibrium constant, ionization and electronegativity
9.5 Acids, bases and salts and oxidation reduction : Arrhenius, Bronsted-Lworry & Lewis concepts of acids, bases with suitable examples, oxidation and reduction and electronic interpretation of oxidation & reduction reaction
9.6 Equivalent weight, acidimetry, alkalimetry and pH : Definition of equivalent weight, equivalent weight of acid, base & salt, acidimetry & alkalimetry, simple acid-base titration and concept of pH
9.7 Chemistry of metals : Metals & metalloids, introduction to metallurgy, important processes in metallurgy, mineral resources of Nepal, extraction, properties & uses of the copper, zinc, iron, silver & sodium
9.8 Chemistry of non-metals : General preparation & properties of halogens, nitrogen & sulphur and its compounds, general preparation and properties of compounds of nitrogen and manufacture of NH3 & H2SO4
9.9 Carbon and its compounds : Definition classification and uses of organic compounds, bonding & hybridization, empirical & molecular formulae, qualitative analysis of organic compounds, functional group & IUPAC nomenclature, introduction to aliphatic & aromatic hydrocarbons, general preparation and properties of alkane, alkene, alkyne, aldehyde, ketone, carboxylic acid & chloroform and lab preparation & properties of methane, ethane, ethyl alcohol, phenol, nitrobenzene, aniline & benzoic acid
9.10 Uses of chemistry in daily life : Insecticides, pesticides, simple drugs, polymers and fertilizers

10 Biology:

10.1 Introduction to biology : Nature & scope of biology, branches of biology & its relationships with other branches of science, general concepts of life processes and human responsibility for the protection of earth and conservation of diverse life forms, impact of biological sciences on modern communities,
10.2 Cell biology : Prokaryotes & eukaryotes, structures of plant & animal cell, cell inclusions and cell organelles, mitosis & meiosis cell division, plant tissues & their function, animal tissues & their function, protoplasm, its physical & chemical nature, general structure and roles of carbohydrate, protein, amino acids, nucleic acids & lipids and the chromosome
10.3 Continuity of life : Mitosis, meiosis & their significance, laws of inheritance, mutation & its significance and concepts of hybrid and hybridization, significance of hybrid seeds for crop production.
10.4 Evolution : Theories of origin of life, biochemical concept of evolution and different views on organic evolution
10.5 Physiological system of human : Digestive, circulatory, respiratory, excretory, urinary, reproductive, muscular, skeleton nervous system & glandular system and human welfare
10.6 Plants of economic importance: Medicinal plants, fiber yielding plants, timber plants, vegetables, cereals, cash crops, beverage and fruits
10.7 Animals of economic importance: Domestic animals, earthworm, silkworm and honey bee
10.8 Plant physiology : Water relation, metabolism (photosynthesis, respiration), nitrogen fixation, growth, plant propagation and flowering plants
10.9 Ecology : Community, succession, adaptation, ecosystem, food chain, tropic levels, interactions of biotic & abiotic factors, productivity, ecological pyramids and bio-geochemical cycles (carbon and nitrogen)
10.10 Study of the five kingdoms : Monera, protista, plantae, fungi and animalia
10.11 Environment & conservation : Interaction of biotic & abiotic factors, ecological imbalance, human survival, pollution, green house effect, climate change, community forests , biodiversities, conservation & its impotance and national parks of Nepal and environmental governance in Nepal and sustainable development
10.12 Co-curricular and non-formal approaches : Activity approaches and non-formal methods of biological science teaching in terms of field trips (visit to botanical garden, zoo, park), gardening, maintenance of aquarium, vivarium
Subjective Question Plan (Specification Grid)

Unit	Scope Of Curriculum	Contentwise question weight	Full Marks
1	Basics of Numbers, Its Extension and Logics	1x10	10
2	Basic Algebra and Its Extension	1x10	10
3	Fundamental Trigonometry and Its Extension	1x10	10
4	Euclidean and Analytic Geometry	1x10	10
5	Descriptive Statistics and Probability	1x10	10
6	Differential and Integral Calculus
7	Vector and Its Application
8	Physics	1x10	10
9	Chemistry	1x10	10
10	Biology	1x10	10
	Total	6x10	60