1. Number - Mathematics

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Classic View

E1.1 Types of Numbers

E1.2 Sets

E1.3 Powers and Roots

E1.4 Fractions, Decimals, and Percentages

E1.5 Ordering

E1.6 The Four Operations

E1.7 Indices I

E1.11 Ratio and Proportion

E1.12 Rates

E1.13 Percentages

E1.15 Time

E1.16 Money

E1.17 Exponential Growth and Decay

E1.18 Surds

Extension

E1.1 Types of Numbers

NUMBER I – EDEXCEL GCSE (1MA1)

Introduction to Numbers

Dr Thomas Woolley, Cardiff University

NUMBER I – EDEXCEL GCSE (1MA1)

Integers, Decimals, and Fractions

Dr Thomas Woolley, Cardiff University

E1.2 Sets

PROBABILITY II – EDEXCEL GCSE (1MA1): HIGHER TIER

Introduction to Set Notation

Dr Sunil Chhita, Durham University

SOLVING INEQUALITIES – EDEXCEL GCSE (1MA1): HIGHER TIER

Set Notation

Prof. Keith Ball, Warwick University

E1.3 Powers and Roots

SEQUENCES – EDEXCEL GCSE (1MA1): HIGHER TIER

Famous Sequences: Squares and Triangle Numbers – A24

Prof. Keith Ball, Warwick University

E1.4 Fractions, Decimals, and Percentages

NUMBER I – EDEXCEL GCSE (1MA1)

Integers, Decimals, and Fractions

Dr Thomas Woolley, Cardiff University

NUMBER I – EDEXCEL GCSE (1MA1)

Working With Fractions and Decimals

Dr Thomas Woolley, Cardiff University

NUMBER I – EDEXCEL GCSE (1MA1)

Place Value

Dr Thomas Woolley, Cardiff University

E1.5 Ordering

NUMBER I – EDEXCEL GCSE (1MA1)

Symbols and Ordering

Dr Thomas Woolley, Cardiff University

E1.6 The Four Operations

NUMBER I – EDEXCEL GCSE (1MA1)

Addition and Subtraction

Dr Thomas Woolley, Cardiff University

NUMBER I – EDEXCEL GCSE (1MA1)

Multiplication and Division

Dr Thomas Woolley, Cardiff University

NUMBER I – EDEXCEL GCSE (1MA1)

Inverse Operations

Dr Thomas Woolley, Cardiff University

NUMBER I – EDEXCEL GCSE (1MA1)

Order of Operations

Dr Thomas Woolley, Cardiff University

E1.7 Indices I

ALGEBRA AND FUNCTIONS I – EDEXCEL (9MA0)

Indices

Dr Niki Kalaydzhieva, UCL

ALGEBRA AND FUNCTIONS I – EDEXCEL (9MA0)

Fractional and Negative Indices

Dr Niki Kalaydzhieva, UCL

ALGEBRA AND FUNCTIONS I – EDEXCEL (9MA0)

Expanding Brackets and Factorising

Dr Niki Kalaydzhieva, UCL

ALGEBRA AND FUNCTIONS I – EDEXCEL (9MA0)

Surds

Dr Niki Kalaydzhieva, UCL

E1.11 Ratio and Proportion

RATIO, PROPORTION, AND RATES OF CHANGE II – EDEXCEL GCSE (1MA1)

Ratios

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE II – EDEXCEL GCSE (1MA1)

Expressing Ratios as Fractions

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE II – EDEXCEL GCSE (1MA1)

Unit Ratios –

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE II – EDEXCEL GCSE (1MA1)

Multiplicative Relationships

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE II – EDEXCEL GCSE (1MA1)

Proportionality

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE II – EDEXCEL GCSE (1MA1)

Ratios in Linear Graphs

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE III – EDEXCEL GCSE (1MA1): HIGHER TIER

Using Ratios to Relate Shapes

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE III – EDEXCEL GCSE (1MA1): HIGHER TIER

Ratios in Right Triangles

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE III – EDEXCEL GCSE (1MA1): HIGHER TIER

Direct Proportion

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE III – EDEXCEL GCSE (1MA1): HIGHER TIER

Inverse Proportion

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE III – EDEXCEL GCSE (1MA1): HIGHER TIER

Extending Proportion

Dr Thomas Woolley, Cardiff University

E1.12 Rates

RATIO, PROPORTION, AND RATES OF CHANGE I – EDEXCEL GCSE (1MA1)

Standard Unit Conversion: Length

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE I – EDEXCEL GCSE (1MA1)

Standard Unit Conversions: Area and Volume

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE I – EDEXCEL GCSE (1MA1)

Standard Unit Conversion: Mass and Time

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE I – EDEXCEL GCSE (1MA1)

Compound Unit Conversions: Speed and Density

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE I – EDEXCEL GCSE (1MA1)

Compound Unit Conversions: Pressure

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE I – EDEXCEL GCSE (1MA1)

Compound Unit Conversions: Money

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE I – EDEXCEL GCSE (1MA1)

Scale Factors in Diagrams and Maps

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE I – EDEXCEL GCSE (1MA1)

Expressing Quantities as Fractions

Dr Thomas Woolley, Cardiff University

E1.13 Percentages

RATIO, PROPORTION, AND RATES OF CHANGE III – EDEXCEL GCSE (1MA1): HIGHER TIER

Percentage Conversions and Calculations

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE III – EDEXCEL GCSE (1MA1): HIGHER TIER

Percentage Change

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE III – EDEXCEL GCSE (1MA1): HIGHER TIER

Percentages in Financial Mathematics

Dr Thomas Woolley, Cardiff University

E1.15 Time

RATIO, PROPORTION, AND RATES OF CHANGE I – EDEXCEL GCSE (1MA1)

Standard Unit Conversion: Mass and Time

Dr Thomas Woolley, Cardiff University

E1.16 Money

RATIO, PROPORTION, AND RATES OF CHANGE I – EDEXCEL GCSE (1MA1)

Compound Unit Conversions: Money

Dr Thomas Woolley, Cardiff University

E1.17 Exponential Growth and Decay

RATIO, PROPORTION, AND RATES OF CHANGE IV – EDEXCEL GCSE (1MA1): HIGHER TIER

Growth and Decay – R16

Dr Thomas Woolley, Cardiff University

RATIO, PROPORTION, AND RATES OF CHANGE IV – EDEXCEL GCSE (1MA1): HIGHER TIER

Growth and Decay with Multiple Scale Factors – R16

Dr Thomas Woolley, Cardiff University

E1.18 Surds

ALGEBRA AND FUNCTIONS I – EDEXCEL (9MA0)

Surds

Dr Niki Kalaydzhieva, UCL

Extension

WHAT ARE NUMBERS?

The Abstract Mathematical Universe

Prof. Kevin Buzzard, Imperial College London

WHAT ARE NUMBERS?

Infinity

Prof. Kevin Buzzard, Imperial College London

WHAT ARE NUMBERS?

The Finite Number System

Prof. Kevin Buzzard, Imperial College London

WHAT ARE NUMBERS?

Functions

Prof. Kevin Buzzard, Imperial College London

WHAT ARE NUMBERS?

Mathematics As Games: Chess

Prof. Kevin Buzzard, Imperial College London

WHAT ARE NUMBERS?

Induction

Prof. Kevin Buzzard, Imperial College London

WHAT ARE NUMBERS?

Addition and Multiplication

Prof. Kevin Buzzard, Imperial College London

WHAT ARE NUMBERS?

The Future: 2 Add 2 is 4

Prof. Kevin Buzzard, Imperial College London

Contents

E1.1 Types of Numbers

E1.2 Sets

E1.3 Powers and Roots

E1.4 Fractions, Decimals, and Percentages

E1.5 Ordering

E1.6 The Four Operations

E1.7 Indices I

E1.11 Ratio and Proportion

E1.12 Rates

E1.13 Percentages

E1.15 Time

E1.16 Money

E1.17 Exponential Growth and Decay

E1.18 Surds

Extension