 # ICSE Class 7 Maths Syllabus

The Council for The Indian School Certificate Examinations (CISCE) is the board of examination that conducts examinations for the Indian Certificate of Secondary Examination (ICSE) for classes up to 10th and Indian School Certificate (ISC) for class 12th. Class 7th is considered to be an equally important class as most of the basic concepts are taught in this class, which are repeated in higher classes. ICSE Class 7 Syllabus are provided every year on the official website so that students can use them and plan for the exams accordingly.

Maths holds to be one of the most difficult subjects as it requires an understanding of the subject. Maths may be a nightmare to a majority of students, while only a few of the students actually love to solve it. Having a good practice in the subject help students score well. But before beginning your practice, it is crucially important for the students to be aware of the ICSE syllabus. Having a good knowledge of the subject helps the students to know about the pattern of the examination, as well as allows students to manage time for the subject.

The Syllabus of ICSE Class 7 Mathematics is given below:

### Theme 1: Number System

1. Multiplication and division of integers
2. Properties of operations on integers: Commutativity, associativity, existence of identity and inverse and distributivity
3. Problem solving using operations on integers
4. Solution of word problems involving integers (all operations)
5. Introduction to rational numbers (with representation on number line)
6. Word problems on rational numbers (all operations)
7. Decimal representation of rational numbers
8. Problem solving using operations on rational numbers and decimal fractions
9. Fraction as an operator
10. Reciprocal of a fraction
11. Multiplication and division of decimal fractions
12. Exponents only natural numbers.
13. Laws of exponents (through observing patterns to arrive at generalisation.)
14. Application of laws of exponents in simple daily life problems
15. Revision idea of sets
16. Equal, equivalent, universal sets
17. Cardinal property of sets

### Theme 2: Ratio and Proportion

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

### Theme 3: Algebra

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

### Theme 4: Geometry

1. Understanding shapes:

– Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite)

– Properties of parallel lines with transversal (alternate, corresponding, interior, exterior angles)

2. Properties of triangles:

– Angle sum property

– Exterior angle property

– Pythagoras Theorem (Verification only)

3. Symmetry

– Recalling reflection symmetry

– Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (900, 1200, 1800)

4. Representing 3-D in 2-D:

– Identification and counting of vertices, edges, faces, nets (for cubes cuboids, and cylinders, cones).

– Mapping the space around approximately through visual estimation.

5. Congruence

– Congruence through superimposition

– Extend congruence to simple geometrical shapes e.g. triangles, circles.

– Criteria of congruence

6. Construction

– Construction of a line parallel to a given line from a point outside it

– Construction of simple triangles.

### Theme 5: Mensuration

1. Revision of perimeter and Idea of Circumference of Circle
2. 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

1. Collection and organisation of data – choosing the data to collect for a hypothesis testing
2. Mean, median and mode of ungrouped data – understanding what they represent
3. Constructing and interpreting bar graphs
4. Feel of probability using data through experiments. Notion of chance in events like tossing coins, dice etc. Tabulating and counting occurrences of 1 through 6 in a number of throws. Comparing the observation with that for a coin. Observing strings of throws, notion of randomness.