Official Syllabus
| S.NO | CHAPTERS |
| 1 | Number System |
| 2 | Ratio and Proportion |
| 3 | Algebra |
| 4 | Geometry |
| 5 | Mensuration |
| 6 | Data Handling |
Theme 1: Number System
(i) Multiplication and division of integers
(ii) Properties of operations on integers: Commutativity, associativity, the existence of identity, and inverse and distributivity
(iii) Problem-solving using operations on integers
(iv) Solution of word problems involving integers (all operations)
(v) Introduction to rational numbers (with representation on number line)
(vi) Word problems on rational numbers (all operations)
(vii) Decimal representation of rational numbers
(viii) Problem-solving using operations on rational numbers and decimal fractions
(ix) Fraction as an operator
(x) Reciprocal of a fraction
(xi) Multiplication and division of decimal fractions
(xii) Exponents only natural numbers.
(xiii) Laws of exponents (through observing patterns to arrive at generalization.)
(xiv) Application of laws of exponents in simple daily life problems
(xv) Revision idea of sets
(xvi) Equal, equivalent, universal sets
(xvii) Cardinal property of sets
Theme 2: Ratio and Proportion
(i) Ratio and proportion (revision)
(ii) Unitary method continued, consolidation, a general expression for unitary method
(iii) Percentage - an introduction.
(iv) Understanding percentage as a fraction with denominator 100
(v) Converting fractions and decimals into percentage and vice-versa.
(vi) Application to profit and loss (single transaction only)
(vii) Application to simple interest (the time period in complete years).
(viii) Speed, distance, time
Theme 3: Algebra
(i) Terms related to algebra like constants, variables, terms, coefficients of terms, like and unlike terms, etc.
(ii) Generate algebraic expressions
(iii) Performs operations (addition and subtraction) on algebraic expressions with integral coefficients only
(iv) Simple linear equations in one variable (in contextual problems) with two operations.
(v) Inequalities and solution of simple inequalities in one variable
Theme 4: Geometry
1. Understanding shapes
(i) Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite)
(ii) Properties of parallel lines with transversal (alternate, corresponding, interior, exterior angles)
2. Properties of triangles
(i) Angle sum property
(ii) Exterior angle property
(iii) Pythagoras Theorem (Verification only)
3. Symmetry
(i) Recalling reflection symmetry
(ii) Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (90°, 120°, 180°)
4. Representing 3-D in 2-D
(i) Identification and counting of vertices, edges, faces, nets (for cubes cuboids, cylinders, cones).
(ii) Mapping the space around approximately through visual estimation.
5. Congruence
(i) Congruence through superimposition
(ii) Extend congruence to simple geometrical shapes e.g. triangles, circles.
(iii) Criteria of congruence
6. Construction
(i) Construction of a line parallel to a given line from a point outside it
(ii) Construction of simple triangles.
Theme 5: Mensuration
Revision of perimeter and Idea of Circumference of Circle
Area
Concept of measurement using a basic unit area of a square, rectangle, triangle, parallelogram and circle, rings and combined figures.
Theme 6: Data Handling
(i) Collection and organization of data - choosing the data to collect for a hypothesis testing
(ii) Mean, median, and mode of ungrouped data - understanding what they represent
(iii) Constructing and interpreting bar graphs<
...
Official Syllabus
| S.NO | CHAPTERS |
| 1 | Number System |
| 2 | Ratio and Proportion |
| 3 | Algebra |
| 4 | Geometry |
| 5 | Mensuration |
| 6 | Data Handling |
Theme 1: Number System
(i) Multiplication and division of integers
(ii) Properties of operations on integers: Commutativity, associativity, the existence of identity, and inverse and distributivity
(iii) Problem-solving using operations on integers
(iv) Solution of word problems involving integers (all operations)
(v) Introduction to rational numbers (with representation on number line)
(vi) Word problems on rational numbers (all operations)
(vii) Decimal representation of rational numbers
(viii) Problem-solving using operations on rational numbers and decimal fractions
(ix) Fraction as an operator
(x) Reciprocal of a fraction
(xi) Multiplication and division of decimal fractions
(xii) Exponents only natural numbers.
(xiii) Laws of exponents (through observing patterns to arrive at generalization.)
(xiv) Application of laws of exponents in simple daily life problems
(xv) Revision idea of sets
(xvi) Equal, equivalent, universal sets
(xvii) Cardinal property of sets
Theme 2: Ratio and Proportion
(i) Ratio and proportion (revision)
(ii) Unitary method continued, consolidation, a general expression for unitary method
(iii) Percentage - an introduction.
(iv) Understanding percentage as a fraction with denominator 100
(v) Converting fractions and decimals into percentage and vice-versa.
(vi) Application to profit and loss (single transaction only)
(vii) Application to simple interest (the time period in complete years).
(viii) Speed, distance, time
Theme 3: Algebra
(i) Terms related to algebra like constants, variables, terms, coefficients of terms, like and unlike terms, etc.
(ii) Generate algebraic expressions
(iii) Performs operations (addition and subtraction) on algebraic expressions with integral coefficients only
(iv) Simple linear equations in one variable (in contextual problems) with two operations.
(v) Inequalities and solution of simple inequalities in one variable
Theme 4: Geometry
1. Understanding shapes
(i) Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite)
(ii) Properties of parallel lines with transversal (alternate, corresponding, interior, exterior angles)
2. Properties of triangles
(i) Angle sum property
(ii) Exterior angle property
(iii) Pythagoras Theorem (Verification only)
3. Symmetry
(i) Recalling reflection symmetry
(ii) Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (90°, 120°, 180°)
4. Representing 3-D in 2-D
(i) Identification and counting of vertices, edges, faces, nets (for cubes cuboids, cylinders, cones).
(ii) Mapping the space around approximately through visual estimation.
5. Congruence
(i) Congruence through superimposition
(ii) Extend congruence to simple geometrical shapes e.g. triangles, circles.
(iii) Criteria of congruence
6. Construction
(i) Construction of a line parallel to a given line from a point outside it
(ii) Construction of simple triangles.
Theme 5: Mensuration
Revision of perimeter and Idea of Circumference of Circle
Area
Concept of measurement using a basic unit area of a square, rectangle, triangle, parallelogram and circle, rings and combined figures.
Theme 6: Data Handling
(i) Collection and organization of data - choosing the data to collect for a hypothesis testing
(ii) Mean, median, and mode of ungrouped data - understanding what they represent
(iii) Constructing and interpreting bar graphs
(iv) Feel of probability using data through experiments. The notion of chance in events like tossing coins, dice, etc.
(v) Tabulating and counting occurrences of 1 through 6 in a number of throws.
(vi) Comparing the observation with that of a coin. Observing strings of throws, the notion of randomness.
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