Syllabus

Subject : Mathematics
Class : 10

• Understanding real numbers as the combination of rational and irrational numbers.
• Representing real numbers on the number line.
• Investigating properties of real numbers, such as closure, commutativity, associativity, and distributivity.

• Defining polynomials and their terms, coefficients, and degrees.
• Performing operations (addition, subtraction, multiplication, division) with polynomials.
• Factorizing polynomials and finding their roots.

• Understanding systems of linear equations with two variables.
• Solving pairs of linear equations using graphical and algebraic methods.
• Interpreting the solutions of linear equations in real-life contexts.

• Understanding quadratic equations and their standard form, ax^2 + bx + c = 0.
• Solving quadratic equations using factorization, completing the square, and the quadratic formula.
• Interpreting the solutions of quadratic equations geometrically and algebraically.

• Understanding arithmetic progressions (AP) as sequences of numbers with a common difference.
• Finding the nth term and sum of the first n terms of an AP.
• Solving problems involving arithmetic progressions in various contexts.

• Investigating properties of triangles, including angles, sides, and types of triangles.
• Understanding congruence and similarity of triangles.
• Applying properties of triangles to solve geometric problems.

• Understanding properties of circles, including radius, diameter, circumference, and area.
• Investigating angles formed by tangents, secants, and chords.
• Solving problems involving properties of circles and their arcs.

• Introducing trigonometric ratios (sine, cosine, tangent) in right-angled triangles.
• Solving problems involving trigonometric ratios and their applications in real-life situations.

• Areas Related to Circles (Sector and segment of a circle)
• Surface Areas and Volumes (Cubes