Course Module –

Theme 1: Number System

• Multiplication and division of integers
• Properties of operations on integers: Commutativity, associativity, existence of identity and inverse and distributivity
• Problem solving using operations on integers
• Solution of word problems involving integers (all operations)
• Introduction to rational numbers (with representation on number line)
• Word problems on rational numbers (all operations)
• Decimal representation of rational numbers
• Problem solving using operations on rational numbers and decimal fractions
• Fraction as an operator
• Reciprocal of a fraction
• Multiplication and division of decimal fractions
• Exponents only natural numbers.
• Laws of exponents (through observing patterns to arrive at generalization)
• Application of laws of exponents in simple daily life problems
• Revision idea of sets
• Equal, equivalent, universal sets
• Cardinal property of sets

Theme 2: Ratio and Proportion

• Ratio and proportion (revision)
• Unitary method continued, consolidation, general expression for unitary method
• Percentage – an introduction.
• Understanding percentage as a fraction with denominator 100
• Converting fractions and decimals into percentage and vice-versa.
• Application to profit and loss (single transaction only)
• Application to simple interest (time period in complete years).
• Speed, distance, time

Theme 3: Algebra

• Terms related to algebra like constants, variable, terms, coefficient of terms, like and unlike terms, etc.
• Generate algebraic expressions
• Performs operations (addition and subtraction) on algebraic expressions with integral coefficients only
• Simple linear equations in one variable (in contextual problems) with two operations.
• Inequalities and solution of simple inequalities in one variable

Theme 4: Geometry

Understanding shapes

• Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite)
• Properties of parallel lines with transversal (alternate, corresponding, interior, exterior angles)

Properties of triangles

• Angle sum property
• Exterior angle property
• Pythagoras Theorem (Verification only)