## NCERT/CBSE Mathematics Courses - Class 7

Here is a list of all the mathematics courses that will be produced from each chapter of the class 7 book. Essentially, the contents of each chapter will be explained in a single course. As mentioned before, we might make slight changes to the list below while creating the courses, meaning that we might mix two or more chapter as or when necessary or possible but we will not disturb the natural flow of the material.

- Integers
- Fractions and decimals
- Data Handling
- Simple Equations
- Lines and angles
- The triangle and its properties
- congruence of triangles
- Comparing quantities
- Rational numbers
- Practical geometry
- Perimeter and area
- Algebraic expressions
- Exponents and powers
- Symmetry
- Visualizing solid shapes

To know more about the contents of each of the courses mentioned above, please click the accordion below (if it is not already expanded).

### Integers

Here is a brief overview of the contents of the course:

- Integers on a number line
- Addition and subtraction of integers on a number line
- Properties of addition and subtraction of integers
- Closure under addition and subtraction
- Commutative property of addition
- Associative property of addition
- Additive identity
- Multiplication of integers
- Properties of multiplication of integers (closure under multiplication, commutativity of multiplication, multiplication by zero, multiplicative identity, associativity for multiplication, distributive property)
- Division of integers
- Properties of division of integers

### Fractions and Decimals

Here is a brief overview of the contents of the course:

- Multiplication of fraction
- Multiplication of a whole number and a fraction
- Fraction as an operator "of", for example, 1/2 of 5
- Multiplication of two fractions
- Division of Fractions
- Division of a whole number by a fraction
- Reciprocal of a fraction
- Division of a fraction by a whole number
- Division of two fractions
- Multiplication of decimal numbers
- Division of decimal numbers
- Division of a decimal number by 10, 100 and 1000
- Division of a decimal number by a whole number
- Division of two decimal numbers

### Data Handling (Statistics)

Here is a brief overview of the contents of the course:

- Collecting Data
- Organizing Data
- Representative values
- Arithmetic Mean
- Mode (of large data)
- Median
- Bar graphs
- Chance and probability

### Simple Equations

Here is a brief overview of the contents of the course:

- Equations
- Solving an equation (add/subtract from both sides, transposition)

### Lines and Angles

Here is a brief overview of the contents of the course:

- Review (line, line segment, angle, point)
- Complementary and supplementary angles
- Adjacent angles
- Linear pair
- Vertically opposite angles
- Pairs of lines
- Intersecting lines
- Angles made by a transversal
- Transversal
- Transversal of Parallel lines
- Checking for parallel lines

### The Triangle and its Properties

Here is a brief overview of the contents of the course:

- Median of a triangle
- Altitudes of a triangle
- Exterior angle property of a triangle
- Angle sum property of a triangle
- Equilateral triangles and their properties
- Isosceles triangles and their properties
- Sum of the lengths of two sides of a triangle
- Right-angled triangle and Pythagoras property

### Congruence of Triangles

Here is a brief overview of the contents of the course:

- Congruence among line segments
- Congruence of angles
- Congruence of triangles
- Corresponding parts of congruent triangles
- Criteria for congruence of triangles (SSS, SAS, ASA, RHS)

### Comparing Quantities

Here is a brief overview of the contents of the course:

- Equivalent Ratios
- Percentage
- Converting fractional numbers/decimals to percentage and vice versa
- Ratios to Percentage
- Increase or decrease as percentage
- Profit/loss
- Simple interest

### Rational Numbers

Here is a brief overview of the contents of the course:

- Equivalent 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)

### Practical Geometry

Here is a brief overview of the contents of the course:

- Construction of a line parallel to a given line, through a point not on the line
- construction of a triangle (SSS)
- Construction of a triangle (SAS)
- Construction of a triangle (ASA)
- Construction of a triangle (RHS)

### Perimeter and Area

Here is a brief overview of the contents of the course:

- Squares and Rectangles
- Triangles as parts of rectangles
- Area of a parallelogram
- Area of a triangle
- Circumference of a circle
- Area of a circle
- Conversion of units

### Algebraic Expressions

Here is a brief overview of the contents of the course:

- Variable
- Constant
- Terms of an Expression
- Factors of a term
- Coefficients
- Like and unlike terms
- Monomials, binomials, trinomials and polynomials
- Addition and subtraction of algebraic expressions
- Evaluating an algebraic expression
- Formulas and rules

### Exponents and Powers

Here is a brief overview of the contents of the course:

- Exponents
- Laws of exponents
- Multiplying powers with the same base
- Dividing powers with the same base
- Taking power of a power
- Multiplying powers with the same exponents
- Dividing powers with the same exponents
- Numbers with exponent zero
- Decimal number system

### Symmetry

Here is a brief overview of the contents of the course:

- Lines of symmetry for regular polygons
- Rotational symmetry

### Visualizing Solid Shapes

Here is a brief overview of the contents of the course:

- 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 shapes
- Viewing different sections of a solid

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