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# Understanding GCSE/IGCSE (9-1) Maths

## GCSE and IGCSE Maths - Numbers, Algebra

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IGCSE/GCSE Maths

## Description

Though this course is designed for GCSE & IGCSE Math (0580 & O level) students, other board students can also be benefited by this course. Style adopted is informal way of teaching. Every effort is made to make calculation understandable at every step. Hope learners will enjoy. Many methods to solving questions are explained for convenience of understanding. Learners will get grip on the subject.

This course Up-to now includes Numbers & Algebra. Other topics like Graphs, Geometry will be included later at sometime.

Contents are as follows:

Numbers 1: Basics

• Integer

• Integer Questions

• Multiple Factors, HCF & LCM

• -Fraction I *

• Decimal

• Fraction II

• Fraction & Decimal

• Order of Operation (BIDMAS)

• Brackets in Integers

• Percentage Basics

• -Basic Algebra *

• Recurring Decimal

'*' marked are important topics for word problems. Understanding fraction & basic algebra will help to get better grip on subject topics included in Number-3 section.

Numbers 2: Comparing, Indices, Surds, Rationalising Surds, Rounding, Standard form, Upper & Lower Bounds

• Comparing symbols & line representation

• Comparing decimal, fraction & percentage

• Square and square root, Cube and cube root

• Indices/Exponents - I (with full Explanation which will help later on in algebra)

• Indices/Exponents/Surds - II

• Brackets in Surds

• -Problems: Surds & Rationalizing surds  (2 methds: fast way explained)

• Standard form representation

• Rounding

• Upper bound and lower bound

• -Problems: Bound, rounding to nearest decimal place/significant place

• Accuracy and Bounds - with Problems

Numbers 3:  Ratio, Proportion, Percentage & Reverse, Direct Indirect Proportion, Distance Speed & Time, Comparing word problems

• Ratio Introduction and brief idea

• Ratio : easy way

• -Problems: Ratio

• -Problems & Proportion explanation

• Profit & reverse percentage : with or without learning formula ( Percentage series: total 2-3 methods explained)

• Rate of increase percentage

• -Problems: Loss, decrease & increase percentage (just use multiplying factor for series increase & decrease)

• Compound interest (with or without using formula & full explanation how formula is built)

• Exponential growth of population/bacteria

• Simple interest

• Reverse simple interest

• Percentage (of-as explanation and problems)

• Increase and decrease Percentage

• Conversion of currency, distance, time & speed

• Distance, speed & time  (with or without formula )

• Direct & indirect variation/proportion ( Total 2 methods explained: one in this part & other in Problem video)

• -Problems: Direct & indirect variation/proportion  (easy shortcut method with full explanation)

• -Problems: Comparing word problems (ratio, percentage & comparing better value for money) : fast method saves your time

"-" marked (Bold) include problems (in series, one after another).

Algebra :

• Algebra - Rough Intro

• Algebra - Translating Statement to expression

• Algebra Addition

• Algebra Simplification

• Algebra - Multiplication

• Algebra - Division

• Algebra - Indices I

• Algebra - Indices II

• Single Bracket- I

• Single Bracket- II

• Simplifying equation I

• Simplifying equation II

• Simultaneous equation III

• Property of equation IV

• Solving equation V

• Formula

• Making subject I

• Making subject II

• Word problem- Linear equation in One variable

• Word problem- Linear equation in two variable I

• Word problem- Linear equation in two variable II

• Word problem- Linear equation in two variable III

• Double brackets

• Simple factorization

• Factorization - Quadratic Expression I

• Factorization- Quadratic Expression II

• Factorization - Quadratic Expression III

• Factorization by using Identities IV

• Factorization V

• Solving Quadratic equation

• Quadratic equation Formula

• Word Problems- Quadratic Equation

• Direct indirect

• Question direct indirect

• Rational expression I

• Rational expression II

• Rational expression III

• Inequality - I

• Inequality - II

• Function, Domain and Range

• Problems on functions

• Composite functions

• Question on Composite functions

• Inverse function

• Question on Inverse function

• Question on Composite functions

• Composite inverse function

• nth Term of the Sequence

• Linear Sequence

• Geometric Sequence

• Quadratic sequence I (First Method)

• Quadratic sequence II (Second Method)

• Quadratic sequence III

• Cubic sequence I (First Method)

• Cubic sequence II (Second Method)

Learners can write in messages for any suggestion or any feedback for this course.

Messages are most welcome!

- Thank you to all for their love and support.

## Content

Basics : Number & Algebra

Integers

Solving Question on Integers

Multiple factors, HCF & LCM

Fraction -I

Decimal

Fraction - II

Fraction & Decimal

Order of Operation

Percent Basics

Algebra Basics

Recurring Decimal

Udemy ID

## 11/9/2020

Course created date

## 12/9/2020

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