CBSE Mathematics Higher secondary level (Year 1)
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- Description
- Curriculum
Our Approach to Teaching and Learning:
We follow the 5-step process depicted in the picture below.
Grade 11 CBSE course content is covered under the following seven topics.
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1
Sets- Sets and their representations,Empty set, Finite and Infinite sets
- Equal sets, Subsets, intervals (with notations)
- Universal set. Venn diagrams.
- Union and Intersection of sets.
- Difference of sets. Complement of a set.
- Properties of Complement.
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2
Relations & Functions
- Ordered pairs. Cartesian product of sets.
- Number of elements in the Cartesian product of two finite sets.
- Definition of relation, pictorial diagrams, domain, co-domain and range of a relation.
- Function as a special type of relation.
- Pictorial representation of a function, domain, co-domain and range of a function.
- Real valued functions
- Constant, identity, polynomial, rational, modulus, signum, exponential, logarithmic and greatest integer functions, with their graphs.
- Sum, difference, product and quotients of functions.
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3
Trigonometric Functions
- Positive and negative angles.
- Measuring angles in radians and in degrees and conversion from one measure to another.
- Definition of trigonometric functions with the help of unit circle.
- Truth of the identity sin2x + cos2x = 1, for all x.
- Signs of trigonometric functions.
- Domain and range of trigonometric functions and their graphs.
- Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications.
- Deducing identities
- Identities related to sin2x, cos2x, tan2 x, sin3x, cos3x and tan3x.
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4
Algebra
- Complex Numbers
- Quadratic Equations
- Linear Inequalities
- Permutations and Combinations
- Binomial Theorem
- Sequence and Series
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5
Coordinate Geometry
- Straight Lines
- Conic Sections
- Introduction to Three-dimensional Geometry
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6
Calculus -Limits and Derivatives
- Derivative introduced as rate of change both as that of distance function and geometrically.
- Intuitive idea of limit.
- Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions.
- Definition of derivative relate it to scope of tangent of the curve,
- Derivative of sum, difference, product and quotient of functions.
- Derivatives of polynomial and trigonometric functions.
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7
Statistics and Probability
- Measures of Dispersion:
- Range, Mean deviation,
- Variance and standard deviation of ungrouped/grouped data.
- Events; occurrence of events,
- ‘Not’, ‘and’ and ‘or’ events, exhaustive events, mutually exclusive events,
- Axiomatic (set theoretic) probability
- Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events.
