Mathematics

Arithmetic covers chapters such as Profit and Loss, Ratio and Proportion, Rational Numbers, Integers, Simple Interest, Speed, Time and Distance, Exponents, Square Root and Cube Root, Fractions and Decimals and, Unitary Method

Arithmetic

Algebra covers chapters such as Sets, Linear Equations in One Variable, Algebraic Expressions and, Linear Inequalities

Algebra

Geometry covers chapters such as Circles, Triangles, Graphs, Polygons, Lines and Angles, Perimeter and Area, Volume and Surface Area of Solids, Basic Constructions, Symmetry and Reflection and, Representing 3-D Shapes 2-D

Geometry

Statistics covers chapters such as Data Handling and Chance and Probability

Statistics

Be a Maths Star

Maths Hub (ICSE)

Cambridge connection Mathematics

MENTAL MATH

Concise Mathematics Middle School Class 7

New Mathematics Today Class 7

ICSE Skills In Mathematics

Construction of Right-Angled Triangles

Multiplication of Three or More Monomials

More about Maps

Oblique Sketches

Nets for Building 3D Shapes

Properties of Division of Integers

Visualising and Drawing Solids

Oblique and Isometric Sketches of Solids

Isometric Sketch of Solids

Rational Numbers Between Two Rational Numbers

Expressing Large Numbers in Standard Form

Increase or Decrease in Percent

Meaning of Cost Price and Selling Price

Meaning of Profit & Loss

Examples on Profit and Loss

What is an Equation?

Verification: n(A∪B)=n(A)+n(B)-n(A∩B)

Complement of Set

Difference of Sets

The Intersection in Set Operations

The Union in Set Operations

Subsets and Equal Sets

Number of Elements in Sets

Universal Set and Subsets

Power Set of a Set

Notations for a Set

Tangents From an Exterior Point: Illustration

Tangent at a Point on Circle: Theorem

Tangent and Chord for Concentric Circles

Tangent as Perpendicular to Radius: Illustration

Tangent as Perpendicular to the Radius

Parallel & Transversal Lines: Illustration

Dividing Polynomial by a Polynomial

Fractions to Decimals and Decimals to Fractions

Representation of Decimal Numbers on Number Line

Elements of Regular Octagon

Exponents and Powers

Monomials, Binomials and Trinomials

Like and Unlike Terms

Area of a Road

Practical Problems on Circle

Problems on Perimeter and Circumference

Problems on Area of Rectangle and Square

Area of the Four Walls

Illustration of Construction of Triangle by ASA

Illustration of Construction of Triangle by SAS

Line Parallel to Given Line of External Point

Construction of a Line Parallel to a Given Line

Representing Rational Numbers on a Number Line

Equality of Two Rational Numbers

Numerator and Denominator of a Rational Number

Introduction to Rational Numbers

Difference Between Simple and Compound Interest

Simple and Compound Interest

Profit Percentage: Illustration

Profit or Loss as a Percentage

Conversion of Percentages

Illustration of Percentages

RHS Criterion for Congruence: Application

Criteria for Congruence of Triangles

Corresponding Sides

Correspondence

Congruent Line Segments and Congruent Angles

Congruent Figures

The Angle Sum Property of Triangle: Example

Triangle Angle Sum Theorem: Illustration

Angle Sum Property of a Triangle

Pythagorean Theorem: Illustration

Types of Triangles

Converse of Alternate Interior Angles

Angles Made by Transversal of Parallel Lines

Understanding Co- Interior Angles

Different Angles Made by Transversal

Word Problem on Age

Mean of Ungrouped data: Example

Application of Decimals to Word Problems

Types of Fractions

Product of Two Negative Integers

Concept of Symmetry and Reflection

Multiple Lines of Symmetry

Symmetry in Real Life

Proportion

Comparing Two Ratios

Introduction to Ratios

Equation and Its Solution

Drawing a Bar Graph

Interpretation of a Bar Graph

Basics of Bar Graph

Introduction to Graphs

Introduction to Data Handling

Organising Data and Frequency of Data

Basics of Data

Subtraction of Decimals

Addition of Decimal Numbers: Illustration

Addition of Decimal Numbers: Example

Interconversion of Fractions and Decimals

Place Value of Digits in a Decimal Fraction

Writing of Decimal Fractions

In this chapter, we will learn how to find the volume and surface area of cubes and cuboids. It teaches us how to find the area of four walls of a room. It also comprises exercises based on finding the volume and surface area of cubes and cuboids.

Volume and Surface Area of Solids

In this chapter, we will discuss the terms associated with circles. It explains the construction of circles with the help of various examples. We will also come across its different properties and learn how to apply them for solving questions.

Circles

In this chapter, we will learn about polygons. It unfolds the notion of triangles and quadrilaterals. We will also explore the properties and shapes of square, rectangle, rhombus and parallelogram.

Polygons

In this chapter, we will learn about co-ordinate axes along with their definition and notation. Convention of sign and points on the axes is also described here. We will also learn how to find the co-ordinates of each point on the graph.

Graphs

This chapter describes chance and probability of events in detail. It explains how to measure the chance of an outcome happening. It also sheds light on experiments with equally likely outcomes.

Chance and Probability

This chapter deals with data collection and handling. It includes a picture-based activity where we need to write the number of different fruits present in a basket. It explains data handling and includes some exercises for a better understanding.

Data Handling

This chapter sheds light on the perimeter and area of various 2-D figures. We will learn how to find the area and perimeter of a square, rectangle and triangle. It also discusses the applications of perimeter and area.

Perimeter and Area

This chapter covers topics like solid shapes, faces, edges and vertices, nets for building 3D shapes, drawing solids in flat surface (2D drawing of a 3D), viewing different sections of a solid, and mapping.

Representing 3-D Shapes 2-D

This chapter explains point, line and rotational symmetry with the aid of examples. It briefs on the properties of reflection of an object in a plane mirror. We will also learn in detail the rules for reflection.

Symmetry and Reflection

In this chapter, we will come across the description of triangles. It highlights various properties of triangles. We will study different types of triangles with the help of figures here. It also covers the construction of triangles.

Triangles

This chapter explains how to construct various angles based on various conditions. We will learn to bisect a given angle with the aid of examples. It also explores the steps to draw a perpendicular line to a given line.

Basic Constructions

This chapter defines point, line, plane, line segment, ray, concurrent lines and collinear points. We will learn about angles and types of angles. It also explains how to find the measure of unknown angle with the aid of examples.

Lines and Angles

This chapter covers the concept of linear inequalities in detail. It describes the method of showing inequalities on a number line. Properties of inequalities, replacement set, solution set and method of solving inequalities are discussed here.

Linear Inequalities

This chapter explores the concept of linear equations in one variable. We will learn to solve simple equations and simplify equations before solving. It also explains how to convert word problems into equations.

Linear Equations in One Variable

This chapter elaborates the notion of algebraic expressions. We will study various types of algebraic expressions. It also explains how to perform basic arithmetic operations on algebraic expressions.

Algebraic Expressions

This chapter discusses the concept of speed, time and distance by describing the uniform speed. Through a table, it illustrates the units of speed. It also highlights the conversion of units of speed, via examples.

Speed, Time and Distance

In this chapter, we will understand the concept of simple interest. Here, we will learn to calculate the simple interest when principal, rate, and time are given. It also includes word problems based on this concept.

Simple Interest

The chapter deals with profit and loss. It helps us find the profit and loss percentage when profit and cost price are given. We will also learn the relation between cost price and selling price.

Profit and Loss

In this chapter, we will learn to convert fractions and decimals into percentage and vice-versa. It explains how to solve problems based on profit and loss, discount and simple interest with the aid of examples.

Percentage and its Applications

This chapter explores the unitary method with the aid of examples. We will study the applications of the unitary method. It also comprises exercises based on the unitary method for practice.

Unitary Method

This chapter briefs on the concept of ratio and proportion. It explains some important points related to ratios. We will learn how to express ratios in simplest form and how to find the mean proportional between two numbers.

Ratio and Proportion

This chapter highlights the notion of sets. It explores the notation and description method. It sheds light on the tabulation form and set builder form. A brief note on various types of sets is also described here.

Sets

This chapter enhances our knowledge of the notion of square root and cube root. It briefs on the perfect square and the method of finding the square root of a number. We will also explore how to find the cube root of a given number.

Square Root and Cube Root

In this chapter, we will learn in detail about exponents. It explains the various laws of exponents. We will also explore the scientific notation and applications of laws of exponents.

Exponents

This chapter explores the concept of rational numbers. We will learn about positive and negative rational numbers. It teaches us how to compare and order rational numbers. It also explains how to perform operations on rational numbers.

Rational Numbers

This chapter discusses the concept of fractions and decimals. It elucidates the types of fractions and how to reduce them to their lowest terms. It explains how to compare fractions, and perform basic arithmetic operations on fractions and decimals.

Fractions and Decimals

Through this chapter, we will learn the concept of integers in detail. It highlights the representation of integers on the number line. It provides us with the solved examples based on the application of properties of integers.

Integers

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