mathematics

This subject covers units such as geometry, statistics, algebra and, arithmetic

Algebra covers chapters such as Algebraic Formulae - Expansion of Squares and Algebraic Expressions and Operations on them

Algebra

Geometry covers chapters such as Circle, Pythagoras’ Theorem, Perimeter and Area, Geometrical Constructions and, Angles and Pairs of Angles

Geometry

Arithmetic covers chapters such as HCF and LCM, Indices, Operations on Rational Numbers, Multiplication and Division of Integers, Direct Proportion and Inverse Proportion and, Banks and Simple Interest

Arithmetic

Statistics covers chapters such as Statistics and Joint Bar Graph

Statistics

Mathematics Standard Seven

Next Maths 7 Book B

Mathematics for Class 7

MATHEMATICS Textbook for Class VII

Mental Maths 7

Using Algebraic Expressions-Formulas

Properties of Division of Integers

Rational Numbers Between Two Rational Numbers

Expressing Large Numbers in Standard Form

Errors in Addition and Subtraction of Expressions

Factorisation by Algebraic Identities: Illustration 1

Highest Common Factor

Factorisation of Perfect Square Trinomial

Application of (a²-b²)

Sum of Exterior Angles of a Polygon

Zero & Negative Integral Indices

Laws of Exponents: Some Examples

Rule of Power of a Quotient

Rule of Power of a Product

Rule for Division of Powers

Index of a Number

Exponents and Powers

Horizontal Method of Addition

Like and Unlike Terms

Practical Problems on Area of a Road

The Area Around the Edges

Problems on Perimeter and Circumference

Area of the Four Walls

Problems on Area of Rectangle and Square

Illustration of Construction of Triangle by ASA

Illustration of Construction of Triangle by SAS

Opposite & Inverse of a Rational Number

Representing Rational Numbers on a Number Line

Numerator and Denominator of a Rational Number

Introduction to Rational Numbers

Congruent Line Segments and Congruent Angles

Congruent Figures

Pythagorean Theorem: Illustration

Pythagoras Theorem

Types of Triangles

Understanding Vertically Opposite Angles

Problems on Complementary and Supplementary Angles

Understanding Complementary Angles

Mean of Ungrouped data: Example

Product of Two Negative Integers

Equation and Its Solution

Formation of Algebraic Expression

Area of Rectangle & Square by Counting Unit Square

Perimeter of Square: Example

Interpretation of a Bar Graph

Introduction to a Bar Graph

Basics of Bar Graph

Collecting and Organising Data

The Relationship Between Radius and Diameter

The Measure of an Angle

Angles

Introduction to Polygons

Finding the LCM by Ladder or Division Method

LCM by Prime Factorisation

LCM: Least Common Multiple

HCF by Division Method

HCF and LCM

Finding HCF Using Prime Factorisation Method

Prime Factors of a Number

Number Type and Its Factors

Prime and Composite Numbers

Solving Brackets: Illustration

Definition of Pi (π)

Problems on Circumference of a Circle

Recurring Decimals

Arithmetic Mean of the Data

Segment of a Circle

Arc of a Circle: Illustration 2

Arc of a Circle: Illustration

Arc of a Circle

Regions of Circle

Circle and Its Related Terms

Understanding Supplementary Angles

Differences in Linear Pair and Supplementary Angles

Different Types of Angles

Interior of an Angle

Factorisation by Adding and Subtracting the Terms

Factorisation by Using (a+b)^2 and (a^2-b^2)

Factorisation of Difference of Two Squares: Part 2

Factorisation of Difference of Two Squares

Direct and Inverse Proportion

Role of Fractional Exponents: Illustration

Role of Exponents: Examples

Dividing Powers With the Same Base

Rule for Power of a Power

Application: Rule for Power of a Power

Applications of Multiplying Powers with Same Base

Expressing Power of Number as a Repeated Product

Surface Area of Rectangular Solids

Perimeter of Rectangle and Square

Solving Expression by Using (a+b)^2 & (a-b)^2

Application of (a+b)^2

a²-b² = (a+b)(a-b): Geometric and Algebraic Proof

Geometric Proof of (a-b)^2

Geometrical and Algebraic Proof of (a+b)²

Factors of a Binomial

Learning Algebraic Expressions

Cube Root in the Form of Indices

Square Root of Decimal by Long Division Method

Square Root of Decimal by Prime Factorisation

In this chapter, we will explore the sub-divided and percentage of bar-diagrams. It explains the grouped and ungrouped distribution of data. Mean, median, and mode for ungrouped data are also illustrated here.

This chapter mainly deals with different forms of formulae and their expansion. It also explains factorising Binomials, factorising algebraic expressions, expansion of (a+b)(a-b), expansion of (a+b)², and expansion of (a-b)².

Algebraic Formulae - Expansion of Squares

In this chapter, we will study right-angled triangles. Here, we will learn about Pythagoras theorem, finding the missing sides using Pythagoras theorem, applications of Pythagoras theorem and drawing right triangles with given lengths.

Pythagoras’ Theorem

This chapter deals with the perimeter and area of different figures. It helps in learning how to construct boxes. Examples with illustrations are provided for clear understanding.

Perimeter and Area

In this chapter, we will learn about the circle and its components. It explores the properties of a chord and congruent chords. It also explains the method to construct the incircle and the circumcircle of a triangle.

Circle

This chapter introduces the bank&#39;s concepts, simple interest, principal amount, interest, and rate per annum. Also, a formula to evaluate simple interest, word problems on simple interest is provided here.

Banks and Simple Interest

This chapter introduces variations. It explains the types of variations, direct proportion, inverse proportion, and the relation between two variables by direct variation and inverse variation.

Direct Proportion and Inverse Proportion

This chapter explains algebraic expression and its types. It covers concepts such as addition, subtraction, and multiplication of algebraic expressions, equations in one variable, factors and coefficients of expression, and like and unlike terms.

Algebraic Expressions and Operations on them

In this chapter, we will study double bar graphs and the interpretation of a double bar graph. We will also learn to draw and construct a double bar graph.

Joint Bar Graph

In this chapter, we will study the concepts of exponents, square numbers, cube numbers, laws of exponents, numbers with exponent zero, and negative exponents. We will also learn to express large numbers in a standard form.

Indices

This chapter sheds light on the concept of rational numbers. It also mentions the decimal representation of rational numbers, addition, multiplication, division, and subtraction of rational numbers and BODMAS rules to simplify an expression.

Operations on Rational Numbers

This chapter explains the concept of angles. It discusses types of angles such as adjacent angles, complementary angles, supplementary angles, vertically opposite angles, the concept of linear pairs and the exterior angle property of a triangle.

Angles and Pairs of Angles

In this chapter, we will study concepts such as twin prime numbers, co-prime numbers and prime numbers. We will learn about prime factorization method, highest common factor, lowest common multiple, finding HCF and reducing to the lowest form.

In this chapter, we will study the concept of integers. We will learn about natural numbers, whole numbers, addition, subtraction, and division of integers and multiplication of positive and negative integers.

Multiplication and Division of Integers

This chapter discusses the construction of the triangle if the lengths of the three sides are given. It also explains the property of the angle bisectors of a triangle, congruence of angles and bisector of an angle.

Geometrical Constructions

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