Class 8 Mathematics Syllabus

Covers properties of rational numbers including closure, commutativity, associativity, role of zero and one, and distributivity of multiplication over addition.

Covers solving linear equations having expressions with variables on one side and numbers on the other side.

Covers solving equations having the variable on both sides and formulating linear models from word problems.

Covers classification of polygons (convex, concave, regular, irregular) and the angle sum property of closed polygons.

Covers the sum of the measures of the exterior angles of a polygon (360°) and calculating sides of regular polygons.

Covers properties of parallelograms, opposite sides, opposite angles, and bisecting diagonals.

Covers definitions and properties of special quadrilaterals: rhombus, rectangle, square, trapezium, and kite.

Covers organizing raw data, constructing grouped frequency distribution tables, and drawing histograms.

Covers interpretation and construction of circle graphs (pie charts) and fundamental concepts of probability and chance.

Covers properties of square numbers, ending digits, patterns in squares, and Pythagorean triplets.

Covers finding squares of two-digit numbers using identity patterns without direct multiplication.

Covers finding square roots of whole numbers using repeated subtraction and prime factorisation methods.

Covers finding square roots of whole numbers and decimal numbers using the long division method.

Covers properties of cube numbers, patterns in consecutive odd numbers, and finding smallest multiplying factors for perfect cubes.

Covers finding cube roots of numbers using prime factorisation and estimation methods.

Covers ratios, percentage conversion, and percentage increase or decrease in practical contexts.

Covers commercial transactions: discounts, marked price, profit and loss, cost price, selling price, and sales tax/GST.

Covers derivation and application of compound interest formulas for annual and semi-annual compounding.

Covers identifying terms, coefficients, monomials, binomials, polynomials, and addition/subtraction of expressions.

Covers multiplication of monomials by monomials and monomials by polynomials.

Covers multiplication of binomials by binomials and binomials by trinomials.

Covers standard algebraic identities ((a+b)², (a-b)², a²-b², (x+a)(x+b)) and their verification.

Covers calculating areas of trapeziums and general polygons using triangulation.

Covers surface area of 3D solids: cuboids, cubes, and right circular cylinders.

Covers volume calculations for cuboids, cubes, and cylinders in practical real-world problems.

Covers powers with negative exponents and laws of exponents.

Covers expressing very large and very small numbers in standard scientific notation.

Covers direct proportion relationships, constant ratios (x/y = k), and solving proportional problems.

Covers inverse proportion relationships, constant product (x · y = k), and applications.

Covers factorisation using common factors and regrouping terms.

Covers factorisation using standard algebraic identities and expressions in the form (x² + ax + b).

Covers division of algebraic expressions: monomial by monomial, polynomial by monomial, and polynomial by polynomial.

Covers reading and constructing line graphs, bar graphs, and linear representations of continuous data.

Covers plotting coordinate points on a Cartesian grid and linear graphs showing direct variations.