mathematics

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

Arithmetic

Algebra covers chapters such as Linear Equations in Two Variables, Polynomials and Factorization and, Proofs in Mathematics Revision

Algebra

Statistics and Probability covers chapters such as Probability and Statistics

Statistics and Probability

Geometry covers chapters such as Circles, Triangles, Quadrilaterals, Co-ordinate Geometry, Lines and Angles, Surface Areas and Volumes, Areas, Geometrical Constructions and, The Elements of Geometry

Geometry

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MATHEMATICS

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Activity Plus in Mathematics

The Volume of Hollow Solids: Cylinder and Sphere

Equal Arcs

AAS Criteria for Congruence of Triangles: Example

Converse of Consecutive Interior Angles Theorem

Parallelograms Formed by Four Points

Implications of Conditional Statements

Biconditional Statements and Their Negations

Area of a Triangle by Heron's Formula

Introduction to Non-euclidean Geometry

Euclid’s Fifth Postulate and the Equivalent

Measures of Dispersion

Problem Based on Midpoint Theorem

Converse of Midpoint Theorem

Proof of Midpoint Theorem

Midpoint Theorem

Factorisation Using Difference of Two Squares

Factorisation by Algebraic Identities: Illustration 2

Factorisation by Algebraic Identities: Illustration 1

Factorisation Using Difference of Two Squares: Example

Illustration Based on the SAS Criterion

Parallel & Transversal Lines: Illustration

Factorisation: (a³ + b³) and (a³ – b³)

Expansion of (a + b)^3

Expansion of (a + b + c)²

Perfect Square Polynomial: Illustration 3

Perfect Square Polynomial: Illustration 2

Perfect Square Polynomial: Illustration 1

Perfect Square Polynomial

Factorisation of Perfect Square Trinomial

Factorisation of Polynomials: Illustration 1

Application of the Remainder Theorem: Example 2

Application of the Remainder Theorem: Example 1

Factor Theorem: Illustration

Remainder Theorem and Factor Theorem

Dividing Polynomial by a Polynomial

Geometrical Meaning of the Zeroes of a Polynomial

Zeros of a Polynomial

Polynomial: Terms, Coefficient and Degree

Exponents and Surds

Fractions to Decimals and Decimals to Fractions

Representation of Decimal Numbers on Number Line

Irrational Numbers: Geometrical Representation

Non-terminating Non-recurring Decimals

Application of (a²-b²)

Laws of Exponents: Some Examples

Rule of Power of a Quotient

Rule of Power of a Product

Rule for Division of Powers

Multiplying Powers With the Same Base

Introduction to Polynomials

Monomials, Binomials and Trinomials

Problems on Area of Rectangle and Square

Area of the Four Walls

Numerator and Denominator of a Rational Number

SSS Criterion for Congruence

Criteria for Congruence of Triangles

Triangle Inequality Theorem

The Angle Sum Property of Triangle: Example

Angle Sum Property of a Triangle

Converse of Alternate Interior Angles

Understanding Co- Interior Angles

What Are Transversal Lines?

Solving a Linear Equation in One Variable

Practical Application of Equation and Its Solution

Closure and Commutative Properties of Real Numbers

Area of a Rectangle: Illustration

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

Characteristics of Parallel Lines

Integers : Introduction

Disjunction of Two Statements

Conjunction of Two Statements

Negation of a Statement

Mathematical Statement

Ordered Pair Corresponding to a Point

Coordinates of Different Quadrants

Quadrants in the Cartesian System

Introduction to Mathematical Induction

Prove a Trigonometric Result Under Given Condition

Surface Area of Hollow Cylinders

Definition of Pi (π)

History of Coordinate Geometry

Relation of Two Polynomials With Their HCF and LCM

HCF of Polynomials

Recurring Decimals

Irrational Numbers

Median of Ungrouped Data: Illustration

Median of Ungrouped Data

Illustration of Mean of Ungrouped Data

Arithmetic Mean of the Data

Frequency Polygon and Frequency Distribution Table

Understanding Frequency Polygon

Understanding Raw Data

Volume of Cone and Sphere

This chapter covers topics, such as, Volume of a Cylinder, Volume of a Sphere, Volume of a Cuboid & Surface Area of a Cuboid and a Cube etc.

Surface Areas and Volumes

This chapter covers topics, such as, Presentation of Data, Graphical Representation of Data, Measures of Central Tendency & Collection of Data etc.

Statistics

This chapter covers topics, such as, Circles and its Related Terms, Equal Chords and their Distances from the Centre, Cyclic Quadrilaterals & Perpendicular from the Centre to a Chord etc.

Circles

This chapter covers topics, such as, Types of Quadrilaterals, Angle Sum Property of a Quadrilateral, Properties of a Parallelogram & The Mid-point Theorem etc.

Quadrilaterals

This chapter covers topics, such as, Congruence of Triangles, Properties of a Triangle, Inequalities in a Triangle, Criteria for Congruence of Triangles & RHS and SSS Criteria for Congruence etc.

Triangles

This chapter covers topics, such as, Equations of Lines Parallel to x-axis and y-axis, Solution of a Linear Equation, Graph of a Linear Equation in Two Variables & Linear Equations etc.

Linear Equations in Two Variables

This chapter covers topics, such as, Angle Sum Property of a Triangle, Pairs of Angles, Lines Parallel to the Same Line, Parallel Lines and a Transversal, Basic Terms for Angles between Lines & Intersecting Lines and Non-intersecting Lines etc.

Lines and Angles

This chapter covers topics, such as, Introduction to Coordinate Geometry, Plotting a Point in the Plane if Its Coordinates are Given & Cartesian System etc.

Coordinate Geometry

This chapter covers topics, such as, Area of Triangle Using Base and Height, Area of Triangle Using Heron's Formula & Area of Quadrilateral Using Heron's Formula etc.

Heron's Formula

This chapter covers topics, such as, Equivalent Versions of Euclid's Fifth Postulate, Euclid's Definitions & Axioms and Postulates etc.

Introduction to Euclid's Geometry

This chapter covers topics, such as, Zeros of a Polynomial, Polynomials in One Variable, Remainder Theorem, Algebraic Identities & Factorisation of Polynomials etc.

Polynomials

This chapter covers topics, such as, Basic Number Systems, Exponents and Surds, Irrational Numbers, Operations on Real Numbers & Real Numbers and their Decimal Expansions etc.

Number Systems

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