 CBSE Class 7 Maths Solutions 2022-23 | Orchids

# CBSE Class 7 Maths Syllabus

The CBSE Class 7 Maths Syllabus is exclusively adapted in a cohesive manner by the subject matter experts in Mathematics to help students understand better and perform well in the exam. So, students are recommended to follow the CBSE Syllabus and practise as many problems as possible in order to have a firm grasp on the subject.
Have a look at the latest CBSE maths syllabus for class 7 and you can download it in the form of pdf as well.

### Knowing our Numbers: Integers

• Multiplication and division of integers (through patterns). Division by zero is meaningless
• Properties of integers (including identities for addition & multiplication, commutative, associative, distributive) (through patterns). These would include examples from whole numbers as well. Involve expressing commutative and associative properties in a general form. Construction of counterexamples, including some by children. Counter examples like subtraction is not commutative.
• Word problems including integers (all operations)

### Fractions and rational numbers:

• Multiplication of fractions
• Multiplication of fractions
• Fraction as an operator
• Reciprocal of a fraction
• Division of fractions
• Word problems involving mixed fractions
• Introduction to rational numbers (with representation on number line)
• Operations on rational numbers (all operations)
• Representation of rational number as a decimal.
• Word problems on rational numbers (all operations)
• Multiplication and division of decimal fractions
• Conversion of units (length & mass) • Word problems (including all operations)

### Powers:

• Exponents only natural numbers.
• Laws of exponents (through observing patterns to arrive at generalization).

### Algebra (20 hrs.)Algebraic Expression:

• Generate algebraic expressions (simple) involving one or two variables
• Identifying constants, coefficient, powers
• Like and unlike terms, degree of expressions e.g., x2 y etc. (exponent ≤ 3, number of variables)
• Addition, subtraction of algebraic expressions (coefficients should be integers).
• Simple linear equations in one variable (in contextual problems) with two operations (avoid complicated coefficients)

### Ratio and Proportion (20 hrs.)

• Ratio and proportion (revision)
• Unitary method continued, consolidation, general expression.
• 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).

### Geometry (60 hrs.)Understanding shapes:

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

### Properties of triangles:

• Angle sum property (with notions of proof & verification through paper folding, proofs using property of parallel

• lines, difference between proof and verification.)

• Exterior angle property

• Sum of two sides of a triangle is it’s third side

• Pythagoras Theorem (Verification only)

### Symmetry

• Recalling reflection symmetry
• Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (900, 1200, 1800)
• Operation of rotation through 900 and 1800of simple figures.
• Examples of figures with both rotation and reflection symmetry (both operations)
• Examples of figures that have reflection and rotation symmetry and vice-versa

### Representing 3-D in 2-D:

• Drawing 3-D figures in 2-D showing hidden faces.
• Identification and counting of vertices, edges, faces, nets (for cubes cuboids, and cylinders, cones).
• Matching pictures with objects (Identifying names)
• Mapping the space around approximately through visual estimation.

### Congruence

• Congruence through superposition (examples: blades, stamps, etc.)
• Extend congruence to simple geometrical shapes e.g. triangles, circles.
• Criteria of congruence (by verification) SSS, SAS, ASA, RHS

### Construction (Using scale, protractor, compass)

• Construction of a line parallel to a given line from a point outside it. (Simple proof as remark with the reasoning of alternate angles)
• Construction of simple triangles. Like given three sides, given a side and two angles on it, given two sides and the angle between them.

### Mensuration (15 hrs.)

• Revision of perimeter, Circumference of Circle Area Concept of measurement using a basic unit area of a square, rectangle, triangle, parallelogram and circle, area between two rectangles and two concentric circles.

### Data handling (15 hrs.)

1. Collection and organization 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 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.

### Class 7 Math NCERT Book Chapters

The above mentioned CBSE class 7 math syllabus will be covered in the following chapters from the NCERT class 7 Math book which are provided to the students:

S.no. Chapter Name
1 Integers
2 Fractions and Decimals
3 Data Handling
4 Simple Equations
5 Lines and Angles
6 The Triangle and its Properties
7 Congruence of Triangles
8 Comparing Quantities
9 Rational Numbers
10 Practical Geometry
11 Perimeter and Area
12 Algebraic Expressions
13 Exponents and Powers
14 Symmetry
15 Visualizing Solid Shapes

So, now you must have got a clear understanding of the CBSE Math Syllabus for Class 7. We hope that you find this detailed information on Math Syllabus useful for your studies and preparation of your class 4 exams.