7th Grade Maths

Mathematics is a critical subject that helps students develop analytical thinking, logical reasoning, and practical problem-solving skills. In Grade 7, students build on the foundational concepts learned in earlier grades and begin exploring more advanced topics that lay the groundwork for high school mathematics.

This article provides a comprehensive chapter-wise guide to Grade 7 mathematics, organized in a clear and accessible format.

Integers

• Introduction to Integers
• Positive and Negative Numbers
• Number line
• Absolute Value

Operations of Integers

• Operations of Integers
  • Addition of Integers
  • Subtracting Integers
  • Number Line for Addition and Subtraction of Integers
• Applications of Integers in Real Life

Decimals

• Decimals in Maths
• Place value of decimal numbers
• Convert Fractions to Decimals
• Convert Decimal To Mixed Number
• Comparing and Ordering Decimals
• Rounding off Decimal
• Decimals Fractions

Operations with Decimals

• Addition and Subtraction of Decimals
• Multiplying Decimals
  • How to Multiply Decimal by 2-digits
  • How to Multiply Percentages with Decimals
  • How to multiply decimals with fractions
• Dividing Decimals Practice - [Dividing Decimals Worksheet]
• Divide Decimals by Whole Numbers

Fractions

• Fractions in Maths

• Types of Fractions
  • Proper Fractions
  • Improper fraction
  • Mixed fractions
  • Equivalent fractions

Operations with Fractions

• Addition of Fractions
• Subtraction of Fractions
• Comparing Fractions
• Multiplication of Fractions
• Division of Fractions
• Fractions on a number line
• Convert Fractions to Decimals

Rational Numbers

• What are Rational Numbers
• Properties of rational numbers
• Rational numbers between two rational numbers
• Comparison of Rational Numbers

Conversions and Special case

• How to convert a rational number to a decimal
• Terminating and Non-Terminating Decimals

• Special Cases
  • Is zero a rational number?
  • Is π a rational number?
  • Is the square root of 2 a rational number?

Operations on Rational Numbers

• Multiplication of Rational Numbers
• Division of Rational Numbers

Irrational numbers

• Introduction to Irrational Numbers
• Difference Between rational and irrational numbers

Exponents

• Exponents in Maths
• Laws of exponents
• Negative Exponents
• How to multiply and divide exponents
• Adding and Subtracting of  Exponents
• Laws of Exponents for Real Numbers
• Difference Between Exponent and Power

Ratio and Proportion

• Introduction to Ratio and Proportions
• Ratio
  • Ratio formula
• Proportions
  • Direct Proportions
  • Inverse Proportions
• Ratio Comparison

Algebra

• Basics of Algebra
• Branches of Algebra

Algebraic Expressions

• Algebraic Expressions in Math

• Terms in Algebraic Expressions
  • Variables
  • Coefficients
  • Term
  • Constant
• Difference Between Constant and Variables

• Types of Algebraic Expressions
  • Monomial
  • Binomial
  • Trinomial
  • Polynomial

• Operations on Algebraic Expressions
  • Addition of Algebraic Expressions
  • Terms in Algebraic Expression
  • Subtraction of Algebraic Expression
  • Multiplication of Algebraic Expression
  • Division of Algebraic Expressions

• Simplifying Algebraic Expressions
  • Expanding Brackets
  • Factorization of Algebraic Expression

Expressions and Equations

• Introduction to Expressions and Equations

• Linear Equations
  • Linear Equations in One Variable
  • How to Solve Two-Step Linear Equations?
  • Solving Multi-Step Linear Equations with Fractions

• Linear Equation in Two Variables
  • Pair Of Linear Equations In Two Variables
  • Solving Linear Equations Using the Elimination Method
  • Introduction to Two-Variable Linear Equations in Straight Lines

• Equivalent expressions
• Equations with Variables

Inequalities

• Graphing Inequality on Number Line
• Solving Inequalities

Geometry

• Introduction to Polygons

Types of Polygons

• Triangles
• Quadrilateral
• Pentagon
• Hexagon
• Heptagon
• Octagon
• Nonagon

2D-Shapes

• Triangle
  • Types of triangles
  • Triangle Inequality Theorem
  • Area of Triangle
  • Perimeter of Triangle

• Trapezoid
  • Area of Trapezoid
  • Perimeter of a trapezoid

• Quadrilateral
  • Area of a Quadrilateral
  • Construction of a Quadrilateral
  • Area of Cyclic Quadrilateral
• Parallelogram
  • Properties of parallelogram
  • Area of ​​a parallelogram
  • of a parallelogram
• Rhombus
  • Area of the Rhombus
  • Formulas for Rhombus
• Circles
  • Area of Circle
  • Circumference of Circle
  • Length of Arc of Circle

• Complementary angles
• Supplementary angles
• Adjacent Angle
• Vertical Angle

3D-Shapes

• Cube
  • Volume of Cube
  • Surface Area of Cube

• Cuboid
  • Volume of Cuboid
  • Surface Area of Cuboid

• Cylinder
  • Volume of Cylinder
  • Surface Area of the Cylinder

• Sphere
  •  Volume of Sphere
  • Surface Area of Sphere

• Cone
  • Volume of Cone
  • Surface Area of Cone

• Hemisphere
  • Volume of Hemisphere
  • Surface Area of Hemisphere

• Pyramid
  • Volume of a Pyramid Formula
  • Surface Area of a Pyramid Formula

• Prism
  • of Square Prism
  • Volume of Triangular Prism
  • Volume of Rectangular Prism

• Faces, Edges And Vertices of 3D Shapes
• Visualizing Solid Shapes

Graphs

• Line graph
• Bar graph
• Histogram
• Circle Graph

Statistics and Probability

Statistics in Maths

Measure of Central Tendency

• Mean
• Median
• Mode

Probability

• Basic Concepts of Probability
• Probability Formulas
• Events in Probability
• Dependent and Independent Events
• Compound Probability