The syllabus consists of seven units: (i) Number Systems (ii) Algebra (iii) Coordinate Geometry (iv) Geometry (v) Trigonometry (vi) Mensuration (vii) Statistics & Probability.
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1. REAL NUMBERS
Fundamental Theorem of Arithmetic - statements after reviewing work done earlier and after illustrating and motivating through examples. Decimal expansions of rational numbers in terms of terminating/non-terminating recurring decimals.
Zeros of a polynomial. Relationship between zeros and coefficients of quadratic polynomials.
3. PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
Pair of linear equations in two variables and their graphical solution, consistency/inconsistency.
Algebraic conditions for number of solutions. Solution of a pair of linear equations in two variables algebraically - by substitution and by elimination. Simple situational problems. Simple problems on equations reducible to linear equations.
4. LINES (In two-dimensions)
Concepts of coordinate geometry, graphs of linear equations. Distance formula. Section formula (internal division).
Definitions, examples, counter examples of similar triangles.
6. INTRODUCTION TO TRIGONOMETRY
Trigonometric ratios of an acute angle of a right-angled triangle. Proof of their existence (well defined). Values of the trigonometric ratios of 30°, 45° and 60°. Relationships between the ratios.
Proof and applications of the identity sin2A + cos2A = 1. Only simple identities to be given.
7. AREAS RELATED TO CIRCLES
Motivate the area of a circle; area of sectors and segments of a circle. Problems based on areas and perimeter / circumference of the above said plane figures.
(In calculating area of segment of a circle, problems should be restricted to central angle of 60° and 90° only. Plane figures involving triangles, simple quadrilaterals and circle should be taken).
Classical definition of probability. Simple problems on finding the probability of an event.