कक्षा 10 सीबीएसई 2022-23 गणित का पाठ्यक्रम [Syllabus of class 10 CBSE 2022-23 Maths] पीडीएफ़ डाउनलोड करें

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कक्षा 10 सीबीएसई 2022-23 गणित का पाठ्यक्रम [Syllabus of class 10 CBSE 2022-23 Maths] पीडीएफ़ डाउनलोड करें। सीबीएसई कक्षा 10 गणित पाठ्यक्रम 2022-22-23 प्रकाशित किया गया है। छात्र आधिकारिक वेबसाइट से पाठ्यक्रम डाउनलोड कर सकते हैं। छात्र यहां इकाई द्वारा सारांश सहित सभी विवरण प्राप्त कर सकते हैं।

सीबीएसई कक्षा 10 गणित पाठ्यक्रम 2022-23

आधिकारिक वेबसाइट में कक्षा 10 और 12 के लिए सीबीएसई पाठ्यक्रम शामिल है। सीबीएसई कक्षा 10-गणित पाठ्यक्रम 2023 छात्रों को एक ही स्थान पर सभी विषयों को सीखने की अनुमति देगा। हालांकि गणित को कठिन माना जाता है, लेकिन छात्रों को प्रत्येक चरण से गुजरने पर योगों को समझने में आसानी होगी। गणित एक महत्वपूर्ण विषय है, क्योंकि यह उच्च शिक्षा के लिए एक मुख्य विषय होगा। यह लेख सीबीएसई कक्षा 10 गणित पाठ्यक्रम 2023 को कवर करेगा, जिसमें इकाई-वार सारांश और विषय-वार अंक वितरण शामिल है। परीक्षा की तैयारी के लिए छात्रों को हमेशा सीबीएसई 10वीं के सिलेबस 2023 का उपयोग करना चाहिए।

कक्षा 10 सीबीएसई 2022-23 गणित का पाठ्यक्रम

कक्षा 10 गणित पाठ्यक्रम 2022-23

सीबीएसई कक्षा 10 गणित पाठ्यक्रम 2023 में छह इकाइयां शामिल हैं: संख्या प्रणाली, बीजगणित और समन्वय ज्यामिति। इसमें आंकड़े और संभावनाएं भी शामिल हैं। नीचे कक्षा 10 की बोर्ड परीक्षा के लिए भारित इकाइयाँ दी गई हैं। निम्नलिखित इकाइयों को छात्रों द्वारा देखा जा सकता है। वे प्रत्येक इकाई की अंकन योजना को भी समझ सकते हैं ताकि उन्हें यह तय करने में मदद मिल सके कि उन्हें किस पर ध्यान केंद्रित करना चाहिए।

Sl no.UNITMARKS
1.Number system10
2.Algebra20
3.Coordinate Geometry04
4.Geometry27
5.Mensuration13
6.Statistics & probability06
Total80
Internal Assessments20
Total marks100

सीबीएसई कक्षा 10 वीं गणित पाठ्यक्रम 2022-23 पीडीएफ डाउनलोड [CBSE Class 10th Maths Syllabus 2022-23 PDF Download]

सीबीएसई-10th-सिलेबस-2023-MathsDownload

Maths Class 10 Syllabus 2022-23: Unit wise Summary

CBSE Class 10 Maths Syllabus 2022-23:UNIT I- NUMBER SYSTEMS

  1. REAL NUMBERS (18) Periods
  • Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.
  • Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as, and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.
  • Definition of nth root of a real number.
  • Rationalization (with precise meaning) of real numbers of type and  (and their combinations) where x and y are natural numbers and a and b are integers.
  • Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing the learner to arrive at the general laws.)

Total number of periods- 18 periods

Total marks- 10

CBSE Class 10 Maths Syllabus 2022-23 UNIT II: ALGEBRA

  • POLYNOMIALS (26) Periods

Definition of a polynomial in one variable, with examples and counterexamples. Coefficients of a polynomial, terms of a polynomial, and zero polynomial. Degree of a polynomial. Constant, linear, quadratic, and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2+ bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem.

Recall algebraic expressions and identities. Verification of identities:

and their use in the factorization of polynomials.

  • LINEAR EQUATIONS IN TWO VARIABLES (16) Periods

Recall linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c=0.Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

Total number of periods- 42

Total marks- 20

CBSE Class 10 Maths Syllabus 2022-23 UNIT III: COORDINATE GEOMETRY

  • COORDINATE GEOMETRY   

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.

Total number of periods- 7

Total marks- 04

CBSE Class 10 Maths Syllabus 2022-23 UNIT IV: GEOMETRY

  • INTRODUCTION TO EUCLID’S GEOMETRY      (7) Periods

History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomena into rigorous mathematics with definitions, common/obvious notions, axioms/postulates, and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example:

(Axiom) 1. Given two distinct points, there exists one and only one line through them.

(Theorem) 2. (Prove) Two distinct lines cannot have more than one point in common.

  • LINES AND ANGLES    (15) Periods
  1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O and the converse.
  2. (Prove) If two lines intersect, vertically opposite angles are equal.
  3. (Motivate) Lines that are parallel to a given line are parallel.
  • TRIANGLES (22) Periods
  1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).
  2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence).
  3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).
  4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)
  5. (Prove) The angles opposite to equal sides of a triangle are equal.
  6. (Motivate) The sides opposite to equal angles of a triangle are equal.
  • QUADRILATERALS       (13) Periods
  1. (Prove) The diagonal divides a parallelogram into two congruent triangles.
  2. (Motivate) In a parallelogram opposite sides are equal, and conversely.
  3. (Motivate) In a parallelogram opposite angles are equal, and conversely.
  4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides are parallel and equal.
  5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.
  6. (Motivate) In a triangle, the line segment joining the midpoints of any two sides is parallel to the third side, and in half of it, and (motivate) its converse.
  • CIRCLES    (17) Periods
  1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.
  2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line is drawn through the center of a circle to bisect a chord is perpendicular to the chord.
  3. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.
  4. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
  5. (Motivate) Angles in the same segment of a circle are equal.
  6. (Motivate) If a line segment joining two points subtends an equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.
  7. (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.

Total numbers of periods- 74

Total Marks- 27

CBSE Class 10 Maths Syllabus 2022-23 UNIT V: MENSURATION

  • AREAS      (5) Periods

Area of a triangle using Heron’s formula (without proof)

  • SURFACE AREAS AND VOLUMES      (17) Periods

Surface areas and volumes of spheres (including hemispheres) and right circular cones.

Total number of periods- 22

Total marks- 13

CBSE Class 10 Maths Syllabus 2022-23 UNIT VI: STATISTICS & PROBABILITY

  • STATISTICS                                                                                                                                 (15) Periods

Bar graphs, histograms (with varying base lengths), and frequency polygons.

Total number of periods- 15

Total marks- 06

CBSE Class 10 Mathematics Syllabus 2022-23 Reference Books

  1. Mathematics – Textbook for Class IX – NCERT Publication
  2. Mathematics – Textbook for Class X – NCERT Publication
  3. Guidelines for Mathematics Laboratory in Schools, class IX – CBSE Publication
  4. Guidelines for Mathematics Laboratory in Schools, class X – CBSE Publication
  5. Laboratory Manual – Mathematics, secondary stage – NCERT Publication
  6. Mathematics exemplar problems for class IX, NCERT publication.
  7. Mathematics exemplar problems for class X, NCERT publication

CBSE Class 10 Maths syllabus 2022-23: Question Paper Design

Question paper design includes the types of questions expected, total marks of each section, and weightage in percentage. This year two types of question paper designs are provided by CBSE for the students, one is basic and the other is standard. Check out both the question paper design below to get a detailed view of the CBSE class 10 mathematics syllabus 2023.

External Assessment

  1. Standard question paper design
S. No.Typology of QuestionsTotalMarks%Weightage(approx.)
1·        Remembering·        Understanding4354
2·        Applying1924
3·        Analysing: ·        Evaluating: ·        Creating: 1822
Total80100
  1. Basic question paper design
S. No.Typology of QuestionsTotalMarks%Weightage(approx.)
1 ·        Remembering·        Understanding6075
2·        Applying1215
3·        Analysing·        Evaluating ·        Creating 810
·        Total80100

Internal Assessments

  1. Standard Internal Question paper design
INTERNAL ASSESSMENT                                                                                        MARKS
Pen Paper Test and Multiple Assessment (5+5)                                       10 Marks
Portfolio                                      05 Marks
Lab Practical (Lab activities to be done from the prescribed books)                                       05 Marks
  1. Basic Internal Question paper design
INTERNAL ASSESSMENT                                                                                        MARKS
Pen Paper Test and Multiple Assessment  (5+5)                                       10 Marks
Portfolio                                      05 Marks
Lab Practical (Lab activities to be done from the prescribed books)                                       05 Marks

सीबीएसई कक्षा 10 गणित पाठ्यक्रम 2022-23: अक्सर पूछे जाने वाले प्रश्न

गणित के लिए सीबीएसई कक्षा 10 में क्या पाठ्यक्रम है?

आधिकारिक वेबसाइट में सीबीएसई कक्षा 10वीं गणित पाठ्यक्रम 2022-2023 के लिए पाठ्यक्रम शामिल है। 2023 में गणित कक्षा 10वीं के पाठ्यक्रम में एक संख्या प्रणाली और बीजगणित के साथ-साथ ज्यामिति, निर्देशांक ज्यामिति और क्षेत्रमिति भी शामिल है।

10वीं कक्षा में गणित बोर्ड परीक्षा की तैयारी कैसे करें?

गणित में बेहतर अंक प्राप्त करने के लिए छात्रों को नियमित रूप से सभी योगों का अभ्यास करना चाहिए। बोर्ड परीक्षाओं में उच्च अंक प्राप्त करने के लिए, छात्रों को सीबीएसई 10वीं पाठ्यक्रम 2023 से परिचित होना चाहिए।

गणित कक्षा 10 में एक उच्च स्कोरिंग विषय है।

गणित की अन्य इकाइयों की तुलना में ज्यामिति अपेक्षाकृत आसान विषय है। छात्रों को तैयार करने के लिए सीबीएसई कक्षा 10वीं गणित पाठ्यक्रम 2023 का उपयोग किया जा सकता है।

10वीं क्लास के लिए गणित का क्या स्कोप है?

गणित में उच्च अंक प्राप्त करने के लिए, छात्र को सभी सूत्रों का अभ्यास और याद रखना चाहिए। सीबीएसई कक्षा 10वीं गणित पाठ्यक्रम 2023 संख्या प्रणाली, बीजगणित और समन्वय ज्यामिति जैसी इकाइयों को शामिल करता है। इसमें क्षेत्रमिति और सांख्यिकी भी शामिल है।

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