High School Math (Pure Mathematics 1)

Course Curriculum

Chapter 1: Introduction

Lecture 1: About Course

Lecture 2: Introduction – Important Instructions

Chapter 2: Essential Revision-1

Lecture 1: Topics of Essential Revision – 1

Lecture 2: Integers – Revision Part 1

Lecture 3: Integers – Revision Part 2

Lecture 4: Powers and Roots Part 1

Lecture 5: Powers and Roots Part 2

Lecture 6: Powers and Roots Part 3

Lecture 7: Powers and Roots Part 4

Lecture 8: Writing statements in Algebraic Form

Lecture 9: BODMAS Rule-Basics

Lecture 10: Distributive Property

Lecture 11: Addition of Algebraic expressions

Lecture 12: Subtraction of Algebraic expressions

Lecture 13: Multiplication of Algebraic Expressions Part 1

Lecture 14: Multiplication of Algebraic Expressions Part 2

Lecture 15: Multiplication of Algebraic Expressions Part 3

Lecture 16: Division of algebraic expressions Part 1

Lecture 17: Division of algebraic expressions Part 2

Lecture 18: Division of algebraic expressions Part 3

Chapter 3: Essential Revision-2 ( Different Methods Of Factorization)

Lecture 1: Topics of Essential Revision – 2

Lecture 2: Factorization by method of common factor

Lecture 3: Factorization by regrouping the terms

Lecture 4: Factorization by difference of two squares

Lecture 5: Factorization using identity (a + b) ² and (a – b) ²

Lecture 6: Factorization using identity (a + b + c) ²

Lecture 7: Factorization by middle term split Part 1

Lecture 8: Factorization by middle term split Part 2

Chapter 4: Quadratic Equations

Lecture 1: Introduction to Quadratic Equations

Lecture 2: Solving Quadratic Equations by Factorization method

Lecture 3: Writing in completed square form

Lecture 4: Solving by completed square method

Lecture 5: Completed Square Method – Direct Approach

Lecture 6: The Quadratic Formula

Lecture 7: Solving problems using Quadratic formula

Lecture 8: Sketching of Quadratic Graphs by completing the square method

Lecture 9: Types of Intervals in Maths

Lecture 10: Solving Quadratic inequalities by graphical method

Lecture 11: Solving Quadratic inequalities Algebraically

Lecture 12: Solving Quadratic inequalities by Wavy Curve Method

Lecture 13: Nature of roots 1

Lecture 14: Nature of roots 2

Lecture 15: Equations reducible to Quadratic -1

Lecture 16: Equations reducible to Quadratic -2

Lecture 17: Non-Linear Simultaneous Equations

Lecture 18: Exam Questions Part 1

Lecture 19: Exam Questions Part 2

Chapter 5: Co-ordinate Geometry

Lecture 1: Distance formula

Lecture 2: Practice Questions on Distance Formula

Lecture 3: Mid point formula

Lecture 4: Gradient of a line

Lecture 5: Gradient of parallel and perpendicular lines

Lecture 6: Practice Problems on Gradients

Lecture 7: Some standard lines

Lecture 8: The Equation of a Straight Line

Lecture 9: Practice questions on Straight Lines

Lecture 10: Graphing using gradient and y intercept

Lecture 11: Intersection of line and parabola

Lecture 12: Past Papers Problems Part 1

Lecture 13: Past Papers Problems Part 2

Lecture 14: Past Papers Problems Part 3

Lecture 15: Past Papers Problems Part 4

Lecture 16: Past Papers Problems Part 5

Chapter 6: Sequence and Series

Lecture 1: Sequence and series ( video)

Lecture 2: Arithmetic Sequence

Lecture 3: General term of an A.P.

Lecture 4: Finding given term is which term ?

Lecture 5: Writing sequence when two terms are known

Lecture 6: Condition for three terms to be in A.P.

Lecture 7: Sum to n terms of A.P.

Lecture 8: Practice Problems 1 (A.P.)

Lecture 9: Practice problems 2 (A.P.)

Lecture 10: Practice problems 3 (A.P.)

Lecture 11: Practice problems 4 (A.P.)

Lecture 12: Geometric Progressions

Lecture 13: Sum to n terms in G.P.

Lecture 14: Sum to infinite Terms in G.P.

Lecture 15: Practice Problems 1 (GP)

Lecture 16: Practice Problems 2 (GP)

Lecture 17: Practice Problems 3 (GP)

Lecture 18: Practice Problems based on AP and GP both

Lecture 19: Past papers problems 1

Lecture 20: Past papers problems 2

Lecture 21: Past papers problems 3

Lecture 22: Sequence and Series-Intro (Resources)

Chapter 7: Binomial Theorem

Lecture 1: What is Factorial?

Lecture 2: n-choose –r problems

Lecture 3: Properties of n – choose -r