Manipur Board HSLC Syllabus 2021: Download BSEM Revised Syllabus

Sections

Topics Covered

Real Numbers

• Euclid’s division lemma

• Fundamental Theorem of Arithmetic etc.

Polynomials

• Zeros of a polynomial

• Relationship between zeros and coefficients of quadratic polynomials etc.

Pair of linear equations in two variables

• pair of linear equations in two variables and graphical methods of their solution.

• Algebraic conditions for a number of solutions etc.

Lines (In two-dimensions)

• Concepts of coordinate geometry

• graphs of linear equations

• Distance formula

• Area of a triangle etc.

Triangles

• Prove -If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

• Motivate- If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar.

• Prove- The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides etc.

Circles

• Prove- The tangent at any point of a circle is perpendicular to the radius through the point of contact.

• Prove- The lengths of tangents drawn from an external point to a circle are equal, etc.

Construction

• Division of a line segment in a given ratio (internally).

• Tangents to a circle from a point outside it.

• Construction of a triangle similar to a given triangle etc.

Trigonometry

• Introduction to trigonometry

• Trigonometric identities

• Heights and Distances: Angle of elevation, Angle of Depression etc.

Areas related to circles

• Area of sectors and segments of a circle.

• Areas and perimeter/circumference of the plane figures (triangles, simple quadrilaterals, and circle) etc.

Surface Areas and Volumes

• Surface areas and volumes of combinations of any two of the following: cubes, cuboids, spheres, hemispheres and right circular cylinders/cones.

• Frustum of a cone etc.

Statistics

• Mean

• Median

• Mode etc.

Probability

Classical definition of probability.

Quadratic equations

• Solutions of quadratic equations by factorization.

• Relationship between discriminant and nature of roots etc.

Arithmetic progression

• Arithmetic Progression Derivation of the nth term.

• Sum of the first n terms of an A.P etc.

SECTIONS

TOPICS COVERED

Chemical equation

• Balanced chemical equation

• The implication of a balanced chemical equation

• Types of chemical reactions, etc.

Acids bases and salts

• General properties

• Importance of pH in everyday life

• Preparation and uses of Sodium Hydroxide etc.

Metals and Non-metals

• Properties of metals and non-metals

• Reactivity series

• Formation and properties of ionic compounds etc.

Carbon compounds

• Chemical properties of carbon compounds

• Versatile nature of carbon

• Homologous series etc.

Periodic classification of elements

• Need for classification

• Modern periodic table

• Gradation in properties etc.

Natural phenomenon

• Reflection of light by curved surfaces

• Principle axis

• Refraction of light by a spherical lens

• Functioning of lenses in the human eye etc.

Effects of current

• Electric current

• Ohm’s law

• Electric power

• The interrelation between P, V, I and R etc.

Magnetic effects of current

• Fleming’s Left-Hand Rule

• Fleming’s Right-Hand Rule

• Advantage of AC over DC

• Domestic electric circuits etc.

Sources of energy

• Different sources of energy

• Renewable versus non-renewable sources of Energy

• Conventional and non-conventional sources of energy etc.

Our environment

• Eco-systems

• Environmental problems

• Biodegradable and non-biodegradable substances etc.

Management of natural resources

• Sustainability of natural resources

• Forest and wildlife

• Coal and Petroleum conservation etc

Life processes

• Basic concept of nutrition

• Respiration

• Exertion in plants and animals etc.

Control and co-ordination in animals and plants

• Topic movement in plants

• Involuntary and reflex action

• Animal hormones etc.

Reproduction

• Reproduction in plants and animals

• Safe sex vs HIV / AIDS

• Childbearing and women’s health etc.

Heredity and evolution

• Heredity

• Mendel’s contribution

• Sex determination etc.