Rational numbers, irrational numbers, and their properties
HCF, LCM, and their properties
Units digit
Surds: Types of surds, laws of surds, order of a surd, comparison of monomial surds, addition and subtraction of surds, multiplication and division of surds
Relationship between HCF and LCM
Logarithms
Natural logarithms, common logarithms
Properties of logarithms and problems based on them
2. Content Domain: Algebra
Polynomials
Division of polynomials
Degree of a polynomial
Factorisation of polynomials
Relationship between zeroes and coefficients of a polynomial
Remainder and factor theorem
Pair of Linear Equations in Two Variables
Standard form of linear equations in two variables
Different methods to solve equations: graphical method and algebraic method
Linear Inequations
Solving linear inequations in one variable
Word problems based on forming and solving linear inequations
Quadratic Equations
Discriminant of a quadratic equation
Finding the roots by factorisation and quadratic formula
Word problems based on the formation and solving of quadratic equations
Arithmetic Progressions
Sequence and series
Arithmetic Progression: nth term of AP, sum of n terms
Arithmetic mean
Word problems on AP
Geometric Progressions
Geometric Progression: nth term of GP, sum of n terms
Word problems on GP
3. Content Domain: Geometry
Triangles
Criteria for similarity of triangles
Areas of similar triangles
Basic proportionality theorem
Circles
Chord and its properties, theorems based on chords
Cyclic quadrilateral
Secant
Tangents and related theorems
Alternate segment and its angles
4. Content Domain: Coordinate Geometry
Coordinate Geometry
Area of a triangle
Distance formula
Section formula
Points of trisection
Centroid
Straight lines: inclination of a line, slope or gradient of a line, intercepts of a straight line, equation of a line in general form, different forms of equations: slope form, point-slope form, two-point form, intercept form, equation of a line parallel or perpendicular to the given line
5. Content Domain: Trigonometry
Introduction to Trigonometry
Trigonometric ratios
Trigonometric ratios of some specific angles (0, 30, 45, 60, etc.)
Trigonometric identities
Signs of trigonometric ratios
Trigonometric tables
Trigonometric formulas
Some Applications of Trigonometry
Angle of elevation, depression, and problems based on them
6. Content Domain: Mensuration
Areas Related to Circles
Area of circle, sector, and segment
Circumference of circle, sector, length of an arc
Surface Areas and Volumes
CSA (curved surface area)/LSA and TSA (total surface area) of cube, cuboid, right circular cylinder, pyramid, prism, sphere, hemisphere, and frustum
Volume of solids: cube, cuboid, right circular cylinder, pyramid, prism, sphere, hemisphere
Area and volume of combination figures
7. Content Domain: Statistics
Statistics
Types of data: primary data, secondary data
Statistical graphs: bar graph, histogram, frequency polygon, frequency curve
Measures of central tendencies for grouped and ungrouped data: mean, median, mode
Empirical relationship among mean, median, and mode