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Number Systems
- 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 line.
- Rationalization (with precise meaning) of real numbers.
- Laws of exponents for real numbers.
Study Material
Polynomials
- Definition of polynomial in one variable.
- Coefficients, terms and degree of a polynomial.
- Types of polynomials (zero, linear, quadratic, cubic).
- Monomials, binomials, trinomials.
- Addition, subtraction and multiplication of polynomials.
- Division algorithm for polynomials (restricted to polynomials with linear divisor).
Study Material
Coordinate Geometry
- The Cartesian plane.
- Coordinates of a point.
- Names and signs of the quadrants.
- Plotting points in the plane.
Study Material
Linear Equations in Two Variables
- Linear equations in two variables.
- Graph of a linear equation.
- Examples and problems from real life, including age and number problems.
Study Material
Introduction to Euclid’s Geometry
- Euclid’s approach to geometry.
- Definitions, axioms, and postulates.
- Equivalent versions of Euclid’s fifth postulate.
Study Material
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