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Class 9 Maths Syllabus 2021-22
The Syllabus of subject of Mathematics has modified and underwent through changes from time to time as per the demand of situation arises, with holistic growth of the subject and integrated needs of the society. Senior Secondary stage is a foundation stage where students decide their path in various direction and lead towards a better profession that will enhance the society.
Mathematics, According to Reuben is a science that study numbers, shapes and logical interpretation of the practical situations. C.B.S.E. provides very vast and comprehensive syllabus that deals with various areas and concept to adapt logical interpretation of real situation and creates a strategic base for higher studies in various field like Mathematics and other courses i.e. Engineering, Physical and Biological science, Commerce or Computer Applications.
Class 9 Maths Syllabus 2021-22 Pdf Download
As we know to deal with the current scenario, C.B.S.E revised the syllabus as per the National Curriculum Framework 2005 and guidelines of Teaching Mathematics 2005 fulfill the emerging needs of the dynamic society and students. PDF Download Here.
Class 9 Maths Syllabus 2021-22 for Term 1 & 2
CBSE class 9th Mathematics syllabus 2021-22 provides an overall overview of the units and the chapters covered within each unit. Here, we will provide the complete information about the revised and updated syllabus along with marking scheme as per C.B.S.E. guideline that proposed curriculum which includes the study of number system, algebra, geometry, trigonometry, mensuration, statistics, graphs and coordinate geometry, etc. The teaching of Mathematics should be imparted through activities which may involve the use of concrete materials, models, patterns, charts, pictures, posters, games, puzzles and experiments. The complete performa given here gives students a brief about them, over how to strategise and plan to get an edge over the subjects as per mark distribution.
The revised syllabus of mathematics subject of class 9th involves various topics and concepts that prepares students for better future with clear base of the subject, so that they can solve the problems and get logical interpretation. The class 9th mathematics syllabus deals with various topics that integrates with other branches of science like Physics, Chemistry and Biology.
One Paper: 180 Minutes
S.no | CBSE Class 9 Syllabus: Unit-wise Marks Distribution | |
Units | Marks | |
1. | Number System | 8 |
2. | Algebra | 17 |
3. | Coordinate Geometry | 4 |
4. | Geometry | 28 |
5. | Mensuration | 13 |
6 | Statistics and Probability | 10 |
Total | 80 | |
Internal Assessment | 20 |
Total 100
Out of the 100 marks, 80 marks are covered by these units and the remaining 20 marks are covered by the internal assessment which are undertaken by the Periodic test, Mathematics assignments.
Internal Assessment: Throughout the year-irrespective of Term 1 & 2 would include 6 Periodic Tests, 4 Multiple Assessments, 4 Portfolio for the term Student Enrichment Activities- 6 practical work.
Check Here: CBSE New Term Wise Revised Syllabus 2021-22
Term 1 Class 9 Maths syllabus 2021-22
One paper Max. marks
90 min 40
S.no | CBSE Class 9^{th} Syllabus: Unit-wise Marks Distribution | |
Units | Marks | |
1. | Number System | 8 |
2. | Algebra | 5 |
3. | Coordinate Geometry | 4 |
4. | Geometry | 13 |
5. | Mensuration | 4 |
6. | Statistics and Probability | 6 |
Total | 40 | |
Internal Assessment | 10 |
Total 50
UNIT- NUMBER SYSTEMS
- NUMBER SYSTEM
Review of representation of natural numbers, integers, 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 , √2,√3 and their representation on the number
- Rationalization (with precise meaning) of real numbers of the type 1 𝑎+𝑏√𝑥 and 1 √𝑥+√√𝑦 (and their combinations) where x and y are natural number and a and b are integers. 3. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)
UNIT-ALGEBRA
- LINEAR EQUATIONS IN TWO VARIABLES
Recall of 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. Graph of linear equations in two variables. Examples, problems from real life with algebraic and graphical solutions being done simultaneously
UNIT-COORDINATE GEOMETRY
- COORDINATE GEOMETRY
The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane.
UNIT-GEOMETRY
- 4. LINES AND ANGLES
- (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180˚ and the converse.
- (Prove) If two lines intersect, vertically opposite angles are equal.
- (Motivate) Results on corresponding angles, alternate angles, interior angles when a transversal intersects two parallel lines.
- (Motivate) Lines which are parallel to a given line are parallel.
- (Prove) The sum of the angles of a triangle is 180˚.
- (Motivate) If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two interior opposite angles.
- TRIANGLES
- (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).
- (Motivate) 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).
- (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).
- (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)
- (Prove) The angles opposite to equal sides of a triangle are equal.
- (Motivate) The sides opposite to equal angles of a triangle are equal.
- (Motivate) The sides opposite to equal angles of a triangle are equal.
UNIT-MENSURATION
- HERON’S FORMULA
Area of a triangle using Heron’s formula (without proof) UNIT-STATISTICS & PROBABILITY 7. STATISTICS Introduction to Statistics: Collection of data, presentation of data — tabular form, ungrouped / grouped, bar graphs, histograms.
INTERNAL ASSESSMENT 10 MARKS
Periodic Tests- 3 Multiple Assessments – 2 Portfolio- 2 Student Enrichment Activities-practical work- 3
Term 2 Class 9 Maths Syllabus 2021-22
One paper Max. marks
90 min 40
S.no | CBSE Class 9^{th} Syllabus: Unit-wise Marks Distribution | |
Units | Marks | |
1. | Algebra | 12 |
2. | Geometry | 15 |
3. | Mensuration | 9 |
4. | Statistics and Probability | 4 |
Total | 40 | |
Internal Assessment | 10 |
Total 50
UNIT-ALGEBRA
- POLYNOMIALS
Definition of a polynomial in one variable, with examples and counter examples. 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. Factorization of ax2 + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem. Recall of algebraic expressions and identities. Verification of identities and their use in factorization of polynomials.
UNIT-GEOMETRY
- QUADRILATERALS
- (Prove) The diagonal divides a parallelogram into two congruent triangles.
- (Motivate) In a parallelogram opposite sides are equal, and conversely.
- (Motivate) In a parallelogram opposite angles are equal, and conversely.
- (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and
- (Motivate) In a parallelogram, the diagonals bisect each other and conversely.
- (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.
3.CIRCLES
Through examples, arrive at definition of circle and related concepts-radius, circumference, diameter, chord, arc, secant, sector, segment, subtended angle.
- (Prove) Equal chords of a circle subtend equal angles at the centre and (motivate) its converse.
- (Motivate) The perpendicular from the centre of a circle to a chord bisects the chord and conversely, the line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.
- (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the centre (or their respective centres) and conversely.
- (Motivate) The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.
- (Motivate) Angles in the same segment of a circle are equal.
- (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.
- CONSTRUCTIONS
- Construction of bisectors of line segments and angles of measure 60˚, 90˚, 45˚ etc., equilateral triangles.
- Construction of a triangle given its base, sum/difference of the other two sides and one base angle.
UNIT-MENSURATION
- SURFACE AREAS AND VOLUMES
Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones.
UNIT-STATISTICS & PROBABILITY
- PROBABILITY
History, Repeated experiments and observed frequency approach to probability. Focus is on empirical probability. (A large amount of time to be devoted to group and to individual activities to motivate the concept; the experiments to be drawn from real – life situations, and from examples used in the chapter on statistics
INTERNAL ASSESSMENT 10 MARKS
Periodic Test- 3
Multiple Assessments- 2
Portfolio- 2
Student Enrichment Activities-practical work- 3
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CBSE Class 9 Maths Syllabus 2021-22 for Term 1 & 2
What topics are covered under different units of Maths class 9th^{th}?
The topics covered in Mathematics are number system, algebra, geometry, trigonometry, mensuration, statistics, graphs and coordinate geometry, etc..
How to prepare CBSE Class 9^{th} syllabus?
Finish off the syllabus as soon as possible as the syllabus is very vast and extensive. After the chapter is finished, try to solve the questions from in between the chapters as well. Solve the sample papers as much as you can.
How are the marks distributed according to the syllabus in class 9th Mathematics?
From a total of 100 marks, 80 marks are for the written examination while 20 marks are carried by the internal assessment. The marks distribution for the written examination is as follows – (1) Unit I – 8 marks, (2) Unit II – 17 marks, (3) Unit III – 4 marks, (4) Unit IV – 28 marks, (5) Unit V – 13 marks, (6) Unit VI – 10 marks.
How many units are there in class 9th Mathematics?
NCERT mathematics textbook for class 9th consists of total 6 units.
How can I score 100 Mathematics in CBSE Class 9th?
You can score full marks in Math by doing practice daily and follow the strategy as per revised syllabus of mathematics and for more information and details visit Adda247.