# CBSE Class 7 Maths Syllabus

The Syllabus in the subject of Mathematics has undergone changes from time to time in accordance with the growth of the subject and emerging needs of society. The present revised syllabus has been designed in accordance with the National Curriculum Framework and as per guidelines given in the Focus Group on Teaching of Mathematics which is to meet the emerging needs of all categories of students. For motivating the teacher to relate the topics to real-life problems and other subject areas, greater emphasis has been laid on applications of various concepts.

### 1. Integers

- Introduction to integers
- Recall on integers
- Addition and subtraction properties
- Commutative property
- Associative property
- Additive property

- Multiplication of Integers
- Multiplication properties
- Closure under multiplication
- Commutative
- Multiplication by zero
- Multiplicative identity
- Associative
- Distributive
- Making multiplication easier

- Division of integers
- Properties of the division of integers

### 2. Fractions and decimals

- Introduction
- Methods of learning about fractions
- Multiplication of fractions
- Fraction by a whole number
- Fraction by a fraction

- Division of fractions
- Whole number by a fraction
- Fraction by a whole number
- Fraction by another fraction

- How well have you learned about Decimal numbers
- Multiplication on decimal numbers
- Multiplication by 10,100,1000

- Division of Decimal numbers
- Division by 10,100,1000
- Division by the whole number
- Division by another Decimal number

### 3. Data Handling

- Introduction
- Collection of data
- Organization of data
- Representative values
- Arithmetic mean
- Range

- Mode
- Median
- Use of bar graphs with a different purpose
- Choosing a scale

- Chance and probability

### 4. Simple equation

- A mind-reading game
- Setting of an equation
- Review
- What is equation
- Solving an equation

- More equations
- From solution to an equation
- Applications of simple equations to a practical situation

### 5. Lines and Angles

- Introduction
- Related angles
- Complementary angles
- Supplementary angles
- Adjacent angles
- Linear pair
- Vertically opposite angles

- Pairs of lines
- Intersecting lines
- Transversal
- Angle made by the transversal
- Transversal of parallel lines

- Checking for parallel lines

### 6. Triangles and its Properties

- Introduction
- Medians of a triangle
- Altitudes of a triangle
- Exterior angle of a triangle and its properties
- Angle sum property of a triangle
- Two special triangles: Equilateral and isosceles
- Sum of the lengths of two sides of a triangle
- Right-angled triangles and Pythagoras property

### 7. Concurrence of triangles

- Introduction
- Congruence of plane figures
- Congruence among line segments
- Congruence of angles
- Congruence of triangles
- Criteria for congruence of triangles
- Congruence among right-angled triangles

### 8. Comparing Quantities

- Introduction
- Equivalent ratios
- Percentage- another way of comparing quantities
- Meaning of percentage
- Converting fractional numbers to the percentage
- Converting decimals to percentage
- Converting percentages to fractions or decimals
- Fun with estimation

- Use of percentages
- Interpreting percentages
- Converting percentages to -how many
- Ratios to percents
- Increase or decrease as a percent

- Prices related to an item or buying and selling
- Profit or loss as a percentage

- Charge given on Borrowed money or simple interest
- Interest for multiple years

### 9. Rational numbers

- Introduction
- Need for rational numbers
- What are rational numbers
- Positive and negative rational numbers
- Rational numbers on a number line
- Rational numbers in standard form
- Comparison of rational numbers
- Rational numbers between two rational numbers
- Operations on Rational numbers
- Addition
- Subtraction
- Multiplication
- Division

### 10. Practical Geometry

- Introduction
- Construction of a line parallel to a given line, through a point not on the line
- Construction of triangles
- Constructing a triangle when the lengths of its three sides are known
- Constructing a triangle when the lengths of its two sides and the measure of the angle between them are known
- Constructing a triangle when the measures of two of its angles and the length of the side included between them is given
- Constructing a Right-Angled Triangle When The Length of one leg and its hypotenuse are given (RHS CRITERION)

### 11. Perimeter and Area

- Introduction
- Squares and rectangles
- Triangles as parts of rectangles
- Generalizing for other Congruent parts of the rectangle

- Area of Parallelogram
- Area of a triangle
- Circles
- Circumference of a circle
- Area of a circle

- Conversion of units
- Applications

### 12. Algebraic Expression

- Introduction
- How are expressions formed
- Terms of an expression
- Like and unlike terms
- Monomials, Binomials, Trinomials, and Polynomials
- Addition and Subtraction of Algebraic expressions
- Finding the value of an expression
- Using Algebraic Expression -formulas and rules

### 13. Exponents and Powers

- Introduction
- Exponents
- Laws of exponents
- Multiplying powers with the same base
- Dividing powers with the same base
- Taking the power of a power
- Multiplying powers with the same exponents
- Dividing powers with the same exponents

- Miscellaneous examples using the laws of exponents
- Decimal number system
- Expressing large numbers in the standard form

### 14. Symmetry

- Introduction
- Lines of symmetry for regular polygons
- Rotational Symmetry
- Line symmetry and Rotational symmetry

### 15. Visualizing solid and shapes

- Introduction: Plane figures and solid shapes
- Faces, edges, and vertices
- Nets for building 3-D shapes
- Drawing solids on a flat surface
- Oblique sketches
- Isometric sketches
- Visualizing solid objects

- Viewing different sections of a solid
- One way to view an object is by cutting or slicing
- Another way is by shadow play
- Third way is at by looking at it from certain angles to get different views