Assam Board Class 9 General Maths Syllabus 2024-25: Download Detailed Syllabus PDF For Free!

Assam Board Class 9 General Maths Syllabus 2024-25: The board of secondary education, in Assam is responsible for providing the latest syllabus and curriculum for all the students and teachers every year. Students and teachers can also visit the official website of the Assam board to download the syllabus PDF. In this article, we will be providing the students with the detailed syllabus for class 9 maths. 

Algebra 

2. Polynomials 

Definition of a polynomial in one variable, its coefficients, with examples and counter examples, its terms, zero polynomial. Degree of a polynomial. constant, linear, quadratic, cubic polynomials; monomials, binomials, trinomials. Factors and multiples. Zeros/roots of a polynomial/equation. State and motivate the ‘Remainder Theorem with examples and analogy to integers. Statement and proof of the Factor Theorem. Factorisation of, ax²+bx+c, a is not equal to 0, where a,b, c are real numbers, and of cubic polynomials using the Factor Theorem. Recall of algebraic expressions and identities. Further identities of the type:

and their use in factorization of polynomials. Simple expressions are reducible to these polynomials. 

3. Co-ordinate Geometry 

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane, the graph of linear equations as examples; focus on linear equations of the type ax+by+c = 0 by writing it as y=mx+c and linking with the chapter on linear equations in two variables,

4. Linear Equations in Two Variables

Recall of linear equations in one variable. Introduction to the equation in two variables. Prove 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 seem to lie on a line. Examples are problems from real life, including problems on Ratio and Proportion and with algebraic and graphical solutions being done simultaneously. 

Geometry:

1. Lines and Angles

i) (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180 degrees and the converse. 

ii) (Prove) If two lines intersect, the vertically opposite angles are equal. 

iii) (Motivate) Results on corresponding angles, alternate angles, and interior angles when a transversal intersects two parallel lines. 

iv) (Motivate) Lines, which are parallel to a given line, are parallel. 

v) (Prove) The sum of the angles of a triangle is 180 degrees. 

vi) (Motivate) If a side of a triangle is produced, the exterior angle so formed is equal to the sum of the two remote interior angles. 

2. Triangles

i) (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).

ii) (Prove) Two triangles are congruent if any two angles and the included side of one triangle are equal to any two angles and the included side of the other triangle (ASA Congruence). 

iii) (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence) 

iv) (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. 

v) (Prove) The angles opposite to equal sides of a triangle are equal. vi) (Motivate) The sides opposite to equal angles of a triangle are equal. 

vii)(Motivate) Triangle inequalities and the relation between ‘angle and facing side; inequalities in a triangle. 

3. Quadrilaterals :

i) (Prove) The diagonal divides a parallelogram into two congruent triangles. 

ii) (Motivate) In a parallelogram opposite angles are equal and conversely. 

iii) (Motivate) In a parallelogram opposite sides are equal and conversely. 

iv) (Motivate) A quadrilateral is a parallelogram if a pair of opposite sides is parallel and equal.

v) (Motivate) In a parallelogram, the diagonals bisect each other and conversely. 

vi) (Motivate) In a triangle, the line segment joining the midpoints of any two sides is parallel to the third side and (motivate) its converse.

4. Area : 

Review the concept of area, and recall the area of a rectangle. 

i) (Prove) Parallelograms on the same base and between the same parallels have the same area. 

ii) (Motivate) Triangles on the same base and between the same parallels are equal in area and converse. 

5. Circle : 

Through examples, arrive at definitions of circles. Related concepts, radius, circumference, diameter, chord, arc, subtended angle. 

i) (Prove) Equal chords of a circle subtend equal angles at the centre and (motivate) its converse. 

ii) (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. 

iii) (Motivate) There is one and only one circle passing through three given non-collinear points. 

iv) (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the centre(s) and conversely. 

v) (Prove) 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. vi) (Motivate) Angles in the same segment of a circle are equal. 

vii) (Motivate) If a line segment joining two points subtends an equal angle at two different points lying on the same side of the line containing the segment, the four points lie on a circle. 

viii)(Motivate) The sum of either pair of the opposite angles of a cyclic quadrilateral is 180 degrees and its converse. 

Mensuration

6. Areas: 

i) Surface Areas and Volumes: Area of a triangle using Heron’s formula and its application in finding the area of a quadrilateral. 

ii) Surface Areas and Volumes: Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones. 

Statistics and Probability 

1. Statistics: Introduction to Statistics: Collection of data, Presentation of data-tabular form, ungrouped/ grouped, frequency polygons, qualitative analysis of data to choose the correct form of presentation for the correct data. Mean median, mode of ungrouped data. 
2. Probability: History, Repeated experiments and observed frequency approach to probability. The focus is on empirical probability. (A long period to be devoted to group and individual activities to motivate the concept; the experiments to be drawn from real-life situations, and from examples used in the chapter on statistics). For the practical part, students can download the syllabus PDF for free from the link provided below. 

CHECK: Assam Board Class 9 Maths Syllabus 2024-25 Free PDF Download

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