Content Domain | Main chapters | Sub Topics |
Number system | Real Numbers | 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 |
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Relationship between HCF and LCM | ||
logarithms | Natural logarithms, common logarithms | |
Properties of logarithms and problems based on it | ||
Algebra | Polynomials | Division of polynomial |
Degree of a polynomial | ||
Factorisation of polynomial | ||
Relationship between zeroes and coefficients of a polynomial | ||
Remainder and factor theorem | ||
Pair of Linear Equations in Two Variables | Standard form of liner equation in 2 variables | |
Different methods to solve equations- graphical method and algebraic method | ||
Linear Inequations | Solving linear inequation in 1 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 equation | ||
Arithmetic Progressions | Sequence and series | |
Arithmetic Progression - n^{th} term of AP, sum of n terms | ||
Arithmetic mean | ||
Word problems on AP | ||
Geometric Progressions | Geometric Progression- n^{th} term of GP, sum of n terms | |
Word problems on GP | ||
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 theorem | ||
Alternate segment and its angles | ||
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 | ||
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 | |
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 solid - cube, cuboid, right circular cylinder, pyramid, prism, sphere, hemisphere | ||
Area and volume of combination figures | ||
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 | ||
Probability | Basic terminologies of probability | |
Theoretical vs experimental probability Problems based on finding probability |
Higher Order Thinking Questions - Syllabus as per Classic Section