Official Syllabus

Theme 1: Number System

Rational Numbers

(i) Properties of rational numbers. (including identities). Using general form of expression to describe properties

(ii) Representation of rational numbers on the number line

(iii) Between any two rational numbers there lies another rational number

(iv) Word problem

Exponents Powers

(i) Laws of exponents with integral powers

(ii) Square and Square roots using factor method and division method for numbers containing (a) no more than total 4 digits and (b) no more than 2 decimal places

(iii) Cubes and cubes roots (only factor method for numbers containing at most 3 digits)

Playing with numbers

(i) Writing and understanding a 2 and 3 digit number in generalized form (100a + 10b + c , where a, b, c can be only digit 0-9) and engaging with various puzzles

(ii) Deducing the divisibility test rules of 2, 3, 5, 9, 10 for a two or three-digit number expressed in the general form.

Sets

(i) Union and intersection of sets

(ii) Disjoint set

(iii) Complement of a set

Theme 2: Ratio and Proportion

(i) Slightly advanced problems involving applications on percentages, profit & loss, overhead expenses, Discount, tax.

(ii) Difference between simple and compound interest (compounded yearly up to 3 years or half-yearly up to 3 steps only

(iii) Direct and inverse variations - Simple and direct word problems

(iv) Time and work problems - Simple and direct word problems

Theme 3: Algebra

(i) Algebraic Expressions

(ii) Multiplication and division of algebraic expression (Coefficient should be integers)

(iii) Identities (a ± b)² = a² ± 2ab + b², a² – b² = (a – b) (a + b).

(iv) Properties of in equalities.

(v) Factorisation (simple cases only) as examples the following types a(x + y), (x ± y)², a² – b², (x + a)(x + b)

(vi) Solving linear equations in one variable in contextual problems involving multiplication and division (word problems) (avoid complex coef

Official Syllabus

Theme 1: Number System

Rational Numbers

(i) Properties of rational numbers. (including identities). Using general form of expression to describe properties

(ii) Representation of rational numbers on the number line

(iii) Between any two rational numbers there lies another rational number

(iv) Word problem

Exponents Powers

(i) Laws of exponents with integral powers

(ii) Square and Square roots using factor method and division method for numbers containing (a) no more than total 4 digits and (b) no more than 2 decimal places

(iii) Cubes and cubes roots (only factor method for numbers containing at most 3 digits)

Playing with numbers

(i) Writing and understanding a 2 and 3 digit number in generalized form (100a + 10b + c , where a, b, c can be only digit 0-9) and engaging with various puzzles

(ii) Deducing the divisibility test rules of 2, 3, 5, 9, 10 for a two or three-digit number expressed in the general form.

Sets

(i) Union and intersection of sets

(ii) Disjoint set

(iii) Complement of a set

Theme 2: Ratio and Proportion

(i) Slightly advanced problems involving applications on percentages, profit & loss, overhead expenses, Discount, tax.

(ii) Difference between simple and compound interest (compounded yearly up to 3 years or half-yearly up to 3 steps only

(iii) Direct and inverse variations - Simple and direct word problems

(iv) Time and work problems - Simple and direct word problems

Theme 3: Algebra

(i) Algebraic Expressions

(ii) Multiplication and division of algebraic expression (Coefficient should be integers)

(iii) Identities (a ± b)² = a² ± 2ab + b², a² – b² = (a – b) (a + b).

(iv) Properties of in equalities.

(v) Factorisation (simple cases only) as examples the following types a(x + y), (x ± y)², a² – b², (x + a)(x + b)

(vi) Solving linear equations in one variable in contextual problems involving multiplication and division (word problems) (avoid complex coefficient in the equations)

Theme 4: Geometry

Understanding shapes

Properties of quadrilaterals - Angle Sum property

Properties of parallelogram (By verification) (i) Opposite sides of a parallelogram are equal, (ii) Opposite angles of a parallelogram are equal, (iii) Diagonals of a parallelogram bisect each other. (iv) Diagonals of a rectangle are equal and bisect each other. (v) Diagonals of a rhombus bisect each other at right angles. (vi) Diagonals of a square are equal and bisect each other at right angles.

Representing 3-D in 2-D

(i) Identify and match pictures with objects [more complicated e.g. nested, joint 2-D and 3-D shapes (not more than 2)].

(ii) Drawing 2-D representation of 3-D objects (Continued and extended)

(iii) Counting vertices, edges & faces & verifying Euler’s relation for 3-D figures with flat faces (cubes, cuboids, tetrahedrons, prisms and pyramids)

Construction of Quadrilaterals

(i) Given four sides and one diagonal

(ii) Three sides and two diagonals

(iii) Three sides and two included angles

(iv) Two adjacent sides and three angles

(v) Idea of reflection symmetry and symmetrical shapes

Circle

Circle, centre, radius/ diameter, arc, chord, sector and segment.

Theme 5: Mensuration

(i) Area of a trapezium, a polygon and semi-circle.

(ii) Surface area of a cube, cuboid, cylinder.

(iii) Idea of Total surface area and curved surface areas of various 3-D figures

(iv) Concept of volume, measurement of volume using a basic unit, volume of a cube, cuboid and cylinder

(v) Volume and capacity (measurement of capacity)

Theme 6: Data Handling

(i) Arranging ungrouped data, it into groups, representation of grouped data through bar-graphs, constructing and interpreting bar-graphs.

(ii) Simple Pie charts with reasonable data numbers

(iii) Consolidating and generalising the notion of chance in events like tossing coins, dice etc. Relating it to chance in life events.

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