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AP Class 10 Maths Syllabus 2023-24 will be issued by the board on the official website. Meanwhile, students can refer to the previous year’s syllabus to start their preparations for the final exam. There are a total of 7 units in the syllabus which are further divided into various chapters and sub-topics. AP Class 10 Maths Syllabus 2023–24 covers real numbers, polynomials, a pair of linear equations in two variables, quadratic equations, arithmetic progressions, trigonometry, heights and distances, and statistics. The syllabus is designed to assist students in establishing a strong mathematical foundation in class 10 which will help them further in class 12 and competitive exams. Students can check the detailed AP SSC Math Syllabus 2023-24 below.
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AP Class 10 Math Syllabus 2023-24
By learning the topics covered in the syllabus, students will build a solid foundation in mathematics that will help them in their future studies and jobs. Students can review the syllabus’s chapter-wise themes.Unit | Chapter |
|---|---|
Unit-I | Number System |
(i). | Real Numbers More about rational and irrational numbers. • Fundamental Theorem of Arithmetic – statements. • Proofs of results, irrationality of 2, 3 etc. and decimal expansions of rational numbers in terms of terminating, non terminating, recurring of decimals and vice versa. • Properties of real numbers • Introduction of logarithms • Conversion of a number in exponential form to a logarithm tic form • Properties of logarithms loga a =1; loga 1=0 • Laws of logarithms log xy = logx + logy; log x/y = logx – logy log xn = n log x • Standard base of logarithms and usage |
(ii). | Sets - Sets and their representations : Empty set, Finite and infinite sets. Equal sets. Subsets, subsets of the set of real numbers (especially intervals with notations). Universal set and cardinality of sets. • Venn diagrams : Union and intersection of sets. Difference of sets. Complement of a set. Disjoint sets. |
Unit-II | Algebra |
(i). | Polynomials • Zeros of a polynomial. • The graph-based geometric interpretation of the zeros of cubic and quadratic polynomials. • The relationship between a polynomial's zeros and coefficients, with an emphasis on quadratic polynomials. • Statement and simple problems on division algorithm for polynomials with integral coefficients. |
(ii). | Pair of Linear Equations in Two Variables. • Pair of linear equations in two variables. Geometric representation of different possibilities of solutions / inconsistency. • Algebraic conditions for number of solutions. • Using cross multiplication, substitution, and elimination to solve a pair of linear equations in two variables. • Simple equation-related problems that can be reduced to linear equations. |
(iii) | Quadratic Equations • The quadratic equation ax2 + bx + c=0, (a 0), in standard form. • Solving quadratic equations using the quadratic formula by factorization and completing the square (only for real roots). • The association between the roots' nature and the discriminant. |
(iv) | Progression • Sequence and series • Motivation for studying AP. Derivation of standard results of finding the nth term and sum of first n terms. • Motivation for studying G.P. • nth termof G.P. |
Unit-III | Trigonometry |
(i) Trigonometry Introduction • Trigonometric ratios of an acute angle of a right-angled triangle i.e. sine, cosine, tangent, cosecant, cotangent. • Motivate the ratios, whichever are defined at 00 and 900 • Values (with proofs) of the trigonometric ratios of 300, 450 and 600. Relationships between the ratios. • Trigonometric Identities: Proof and applications of the identity sin2A+cos2A=1. 1+tan2A=sec2A cot2+1=cosec2 | |
(ii). | Applications of trigonometry • Angle of elevation, angle of depression • Simple and daily life problems on heights and distances. Problems should not involve more than two right triangles and angles elevation/ depression. |
Unit-IV | Co-ordinate Geometry |
(i). | Lines (In two-dimensions) |
Unit-V | Geometry |
(i) | Similar triangles Examples, definitions, and characteristics of similar triangles. • The distinction between triangle congruency and triangle similarity. • (Prove) The other two sides of a triangle are divided in the same ratio if a line drawn parallel to one side of a triangle intersects the other two sides in clearly defined points. • (Motivate) A line is parallel to the third side of a triangle if it divides the first two sides of the triangle in the same ratio. • (Motivate) If the corresponding sides of two triangles are proportionate, the corresponding angles are equal, and the triangles are comparable (AAA). • (Motivate) If two triangles' corresponding sides are proportionate, their corresponding angles are equal, and the two triangles are similar (SSS), then the two triangles are similar. • (Motivate) Two triangles are comparable if one of their angles is equal to another triangle's angle and the sides that include these angles are proportionate. • (Prove) The ratio of the squares on the corresponding sides of two comparable triangles equals the ratio of the areas of the triangles. |
(ii) | Construction • Dividing a line segment utilizing the fundamental proportionality theorem. • A triangle that, using the scale factor given, is comparable to the given triangle. |
(iii) | (iii) Tangents and secants to a circle • Tangents to a circle motivated by chords drawn from points coming closer and closer to the point. • (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. • Segment of a circle made by the secant. • Finding the area of the minor/ major segment of a circle. |
Unit-VI | Mensuration |
(i). | • Problems involving calculating the surface areas and volumes of mixtures of any two of the following: cubes, cuboids, spheres, hemispheres, and right circular cylinders/cones. • Conversion-related difficulties, as well as other mixed challenges, including different types of metallic solids. (Problems with mixing more than two different substances at once should be taken.) |
Unit-VII | Data Handling |
(i). | Statistics • Revision of Mean, median and mode of ungrouped (frequency distribution) data. • Understanding, the concept of Arithmetic Mean, Median and Mode for grouped (classified) data. • The meaning and purpose of arithmetic Mean, Median and Mode • Simple problems on finding Mean, Median and Mode for grouped / ungrouped data. • Usage and different values and central tendencies through Ogives. |
(ii). | Probability • Concept and definition of Probability. • Simple problems (day to day life situation) on single events simple using set notation. • Concept of complimentary events. |
AP Class 10 Math Syllabus 2024 Pdf
We have detailed the AP SSC math syllabus 2023-24 is organized into seven sections: number systems, algebra, coordinate geometry, geometry, trigonometry, mensuration, statistics, and probability. These units are divided into 15 chapters. Download the AP Class 10 Math Syllabus 2023-24 PDF by Clicking the link below.AP Class 10 Math syllabus 2023-24 PDF.
AP Class 10 Mathematics Syllabus Aims
- To acquire knowledge and understanding of the terms, symbols, concepts, principles, processes, proofs, etc. of mathematics.
- To improve one's understanding of mathematical concepts and how to use them in subsequent math and science studies.
- To acquire the abilities to use mathematical knowledge to address challenges in the real world.
- To acquire the abilities required to use current technology, such as computers and calculators, in real-world situations.
- To develop drawing skills, and skills of reading tables, charts and graphs. To develop an interest in mathematics.
