2. Algebra - Mathematics

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Contents

Graphs

Solving Equations and Inequalities

Sequences

Graphs

GRAPHS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Introduction to Graphs

Prof. Keith Ball, Warwick University

GRAPHS I – EDEXCEL GCSE (1MA1): HIGHER TIER

The Coordinate Plane – A8

Prof. Keith Ball, Warwick University

GRAPHS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Straight-Line Graphs – A9

Prof. Keith Ball, Warwick University

GRAPHS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Slopes and Intercepts – A10

Prof. Keith Ball, Warwick University

GRAPHS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Other Equations of Lines – A9, A10

Prof. Keith Ball, Warwick University

GRAPHS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Finding Equations of Lines – A9

Prof. Keith Ball, Warwick University

GRAPHS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Parallel and Perpendicular Lines – A9

Prof. Keith Ball, Warwick University

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

Graphing Quadratic Functions – A11

Prof. Keith Ball, Warwick University

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

Intercepts and Roots of Quadratic Equations – A11

Prof. Keith Ball, Warwick University

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

Turning Points of Quadratic Functions – A11

Prof. Keith Ball, Warwick University

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

Graphing Cubic Functions – A12

Prof. Keith Ball, Warwick University

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

Graphing the Reciprocal Function – A12

Prof. Keith Ball, Warwick University

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

Graphing Exponential Functions – A12

Prof. Keith Ball, Warwick University

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

Graphing Trigonometric Functions – A12

Prof. Keith Ball, Warwick University

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

Translations and Reflections of Graphs – A13

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Straight-Line Graphs in Real Contexts – A14

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Distance-Time Graphs – A14

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Velocity and Acceleration in Distance-Time Graphs – A14

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Exponential Graphs in Real Contexts – A14

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Finding Equations From Exponential Graphs – A14

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Gradient and Area Under the Curve – A15

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Equations of Circles – A16

Prof. Keith Ball, Warwick University

GRAPHS III – EDEXCEL GCSE (1MA1): HIGHER TIER

Tangents to Circles – A16

Prof. Keith Ball, Warwick University

Solving Equations and Inequalities

SOLVING EQUATIONS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Introduction to Solving Equations

Prof. Keith Ball, Warwick University

SOLVING EQUATIONS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Solving Linear Equations – A17

Prof. Keith Ball, Warwick University

SOLVING EQUATIONS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Solving Quadratic Equations By Factorising – A18

Prof. Keith Ball, Warwick University

SOLVING EQUATIONS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Solving Quadratic Equations By Completing the Square – A18

Prof. Keith Ball, Warwick University

SOLVING EQUATIONS I – EDEXCEL GCSE (1MA1): HIGHER TIER

The Quadratic Formula – A18

Prof. Keith Ball, Warwick University

SOLVING EQUATIONS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Extension: Deriving the Quadratic Formula

Prof. Keith Ball, Warwick University

SOLVING EQUATIONS I – EDEXCEL GCSE (1MA1): HIGHER TIER

Solving Quadratic Equations By Graphing – A18

Prof. Keith Ball, Warwick University

SOLVING EQUATIONS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Introduction to Solving Simultaneous Equations

Prof. Keith Ball, Warwick University

SOLVING EQUATIONS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Solving Simultaneous Linear Equations By Substitution – A19

Prof. Keith Ball, Warwick University

SOLVING EQUATIONS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Solving Simultaneous Linear Equations By Cancellation – A19

Prof. Keith Ball, Warwick University

SOLVING EQUATIONS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Solving Simultaneous Linear and Quadratic Equations – A19

Prof. Keith Ball, Warwick University

SOLVING EQUATIONS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Solving Equations Using Iteration – A20

Prof. Keith Ball, Warwick University

SOLVING EQUATIONS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Mathematical Formulae in Applications – A21

Prof. Keith Ball, Warwick University

SOLVING EQUATIONS II – EDEXCEL GCSE (1MA1): HIGHER TIER

Solving Equations in Applications – A21

Prof. Keith Ball, Warwick University

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

Introduction to Inequalities

Prof. Keith Ball, Warwick University

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

Solving Linear Inequalities – A22

Prof. Keith Ball, Warwick University

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

Set Notation – A22

Prof. Keith Ball, Warwick University

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

Graphing Linear Inequalities in Two Variables – A22

Prof. Keith Ball, Warwick University

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

Quadratic Inequalities – A22

Prof. Keith Ball, Warwick University

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

Multi-Step Exam Problem: Approach 1

Prof. Keith Ball, Warwick University

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

Multi-Step Exam Problem: Approach 2

Prof. Keith Ball, Warwick University

Sequences

SEQUENCES – EDEXCEL GCSE (1MA1): HIGHER TIER

Introduction to Sequences

Prof. Keith Ball, Warwick University

SEQUENCES – EDEXCEL GCSE (1MA1): HIGHER TIER

Generating Sequences – A23

Prof. Keith Ball, Warwick University

SEQUENCES – EDEXCEL GCSE (1MA1): HIGHER TIER

Famous Sequences: Squares and Triangle Numbers – A24

Prof. Keith Ball, Warwick University

SEQUENCES – EDEXCEL GCSE (1MA1): HIGHER TIER

Famous Sequences: Cubes and Fibonacci – A24

Prof. Keith Ball, Warwick University

SEQUENCES – EDEXCEL GCSE (1MA1): HIGHER TIER

Linear and Quadratic Sequences – A24

Prof. Keith Ball, Warwick University

SEQUENCES – EDEXCEL GCSE (1MA1): HIGHER TIER

Geometric Sequences – A24

Prof. Keith Ball, Warwick University

SEQUENCES – EDEXCEL GCSE (1MA1): HIGHER TIER

Formulae for Geometric Sequences – A24

Prof. Keith Ball, Warwick University

SEQUENCES – EDEXCEL GCSE (1MA1): HIGHER TIER

Formulae for Linear Sequences – A25

Prof. Keith Ball, Warwick University

SEQUENCES – EDEXCEL GCSE (1MA1): HIGHER TIER

Formulae for Quadratic Sequences – A25

Prof. Keith Ball, Warwick University