Understanding GCSE/IGCSE (9-1) Maths

Understanding GCSE/IGCSE (9-1) Maths

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.

Special about this course:

Learner learns at different step.

For example:

Learner learn direct, indirect variation in number section and in algebra section too.

Solving equation whether linear or quadratic equation, you get to learn in algebra & graph section both.

Very strong grip on numbers, algebra, graphs and equation. Instructor have tried to demonstrate every step by providing

hand written demonstration, annotation, etc.

This course Up-to now includes Numbers, Algebra, Graphs & Geometry- I. 

Contents are as follows:

1) Numbers I: 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.

2) Numbers II: Comparing, Indices, Surds, Rationalizing 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 methods: 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

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). 

4) 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)

5) Graphs

• Coordinate system- Introduction

• Representing Coordinates on graph paper

• Plotting graphs of equations

• Equation on graph paper

• Finding solution graphically

• Finding solution algebraically & graphically

• Different types of solutions

• Rate of change or Slope

• Distance-Time graph

• Problem on distance-time graph - I

• Problem on distance-time graph - II

• Speed-Time graph

• Acceleration and deceleration graph

• Problems on rate of change or slope

• A equation = slope.x+ c

• Problem on speed time graph - 3

• Average speed-Intro

• Problems on average speed

• Direct variation graph

• Indirect variation graph

• Intercept of any graph

• Overview quadratic graph

• Plotting quadratic graph -I

• Plotting quadratic graph -II

• Plotting quadratic graph -III

• Quadratic graph Intercept (cut on axis) 

• Finding quadratic equation by graph

• Linear & non linear graph (Solving algebraically & graphically)

• Simple - use graph to solve different equations

• Problem on quadratic graph

• Cubic graph and problems

• Write cubic equation for a cubic graph

• Reciprocal graph

• Exponential graph

• Translation of graph in y direction

• Translation of graph in x direction

• Turning point

• Problem on turning point

• Reflection of graph in x axis

• Reflection of graph in y axis

• Stretch of graph parallel to y axis

• Stretch of graph parallel to x axis

• Inequalities - I

• Inequalities - II

• Inequalities - III

• Quadratic inequalities

• Solving quadratic inequalities algebraically

6) Geometry - I

• Construction of 60 degree angle without protector

• Construction of 90 & 45 degree angle without protector

• Construction of 120 degree angle with ruler & compass

• Construction of 60 & 30 degree angle without protector

• Angles bisector with compass & ruler

• Construction triangles

• Perpendicular bisector

• Equidistant from points

• Equidistant points inside a rectangle

• Equidistant points inside a Hexagon

• Finding required region

• Constructing Square

• Constructing rhombus

• Divide a line in 5:3

• Constructing a Hexagon

• Constructing Tangents

• Constructing right angle isosceles triangle

• Constructing triangle (application of perp. bisector)

• Constructing triangle (application of angle bisector)

• Revision - geometry

• Bisectors and triangles

• Parallel lines and angles

• Question on parallel lines and angles - I

• Question on parallel lines and angles - II

• Properties of a triangle

• Questions on angles of a triangle - I

• Sum of exterior angles of triangle

• Questions on angles of a triangle - II

• Sum of angles of a quadrilateral

• Sum of exterior angles of a quadrilateral

• Sum of angles of a polygon

• Angles of a regular polygon

• Sum of exterior angles of any polygon

• Scale & scale drawings

• Bearings

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.

GCSE and IGCSE Maths - Numbers, Algebra, Graphs & Geometry-I

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What you will learn

• IGCSE/GCSE Maths
• Full command on Percentage, Ratio etc. (Unit- Numbers)
• Will be able to easily solve questions on algebra.

Rating: 4.375

Level: All Levels

Duration: 18.5 hours

Instructor: Understand From Home Tutor