SEBA Board Class 9 Maths syllabus is prescribed by the Board of Secondary Education. Mathematics syllabus is designed according to the psychological acceptance level of students without compromising the quality. Students are given ample exercise problems and assignments for consistent practice and better understanding. SEBA Board Class 9 Maths syllabus comprises principal area of proofs in mathematics and mathematical modeling. That includes – Number Systems, Algebra, Coordinate Geometry, Geometry, Mensuration, Statistics and Probability.
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Mathematics is called the ‘Queen of the Sciences’. Because the moment we wake up until we go to bed each and every activity involves calculations. That is mathematics embedded in our daily routine without our knowledge. Students often find mathematics as a hard bite.
Refer the table given below for detailed syllabus of SEBA Board Class 9:
|1.Real numbers||Review of representation of natural numbers, integers, rational numbers on the number line. Representation of terminating/non-terminating recurring decimals, on the number line through successive magnification. Rational numbers as recurring/terminating decimals.
Examples of non recurring/non terminating decimals such as √2,√3,√5 etc. Existence of non-rational numbers (irrational numbers) such as √2,√3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line, and conversely, every point on the number line represents a unique real number.
Existence of √x for a given positive real number x (visual proof to be emphasized). Definition of nth root of real number.
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.) Rationalisation (with precise meaning) of real number of the type (and their combinations)
1/a+b√x and 1/√x+√y where x and yare natural numbers and a , b are integers.
|2. Polynomials||coefficients, with examples and counterexamples, 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\(\neq\)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:
|3. Coordinate Geometry||The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations, plotting points in the plane, 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.||09 Sessions|
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, problems from real life, including problems on Ratio and Proportion and with algebraic and graphical solutions being done simultaneously.||20 sessions|
|1. Introduction to Euclid’s Geometry||History-Euclid and geometry in India. Euclid’s method of formalizing observed phenomenon into rigorous mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Equivalent versions of the fifth postulate. Showing the relationship between axiom and theorem.
|2. Lines and Angles||
|5. Area||Review the concept of area, recall the area of a rectangle.
|6. Circle||Through examples, arrive at definitions of circle related concepts, radius, circumference, diameter, chord, arc, subtended angle.
|1. Areas||Area of a triangle using Heron’s formula (without proof) and its application in finding the area of a quadrilateral.||04 sessions|
|2.Surface Areas and Volumes||Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones.||10 sessions|
|STATISTICS AND PROBABILITY|
|1. Statistics||Introduction to Statistics : Collection of data, presentation of data- tabular form, ungrouped/ grouped, bar graphs, histograms (with varying base lengths), frequency polygons, qualitative analysis of data to choose the correct form of presentation for the correct data. Mean, median, mode of ungrouped data.||13 sessions|
|2. 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 the examples used in the chapter on statistics).||12 sessions|
Unitwise Marking weighatge of SEBA Class 9 Maths syllabus
|4||Linear Equation in two variables||12||6|
|5||Introduction to Euclid’s Geometry||6||2|
|6||Lines and Angles||8||4|
|9||Areas of Parallelograms and Triangles||6|
|13||Surface Area and Volumes||9|
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