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ALevel Maths: Pure (Year 1 / AS)
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Introduction and sample lessons (free to view)16 Lessons

Introduction

Solving Quadratics by Factorising  Free Preview

Disguised Quadratics  part 1  Free Preview

Cubic graphs  Free Preview

Cubic Equations from Graphs  Free Preview

Quartic Graphs  Free Preview

Quartic Equations from Graphs – Free Preview

Circles  Intro – Free Preview

The Equation of a Circle – Free Preview

Calculating the Centre and Radius of a Circle  Free Preview

The Factor Theorem  Free Preview

Multiple Solutions to Sine Equations  Free Preview

Multiple Solutions to Cosine Equations  Free Preview

Multiple Solutions to Tan Equations  Free Preview

Differentiating Mixed Functions  Free Preview

Optimisation  part 2  Free Preview

Introduction

Quadratic Functions15 Lessons13 Quizzes

Solving Quadratics by Factorising

Solving Quadratics With the Quadratic Formula

Using a Calculator to Solve Quadratics

Solving Quadratics by Completing the Square

Completing the Square to Find Turning Points  part 1

Completing the Square to Find Turning Points  part 2

Quadratic Graphs  part 1

Quadratic Graphs  part 2

Proof of the Quadratic Formula

The Discriminant

Applications of the Discriminant

Disguised Quadratics  part 1

Disguised Quadratics  part 2

Modelling with Quadratics  part 1

Modelling with Quadratics  part 2

Solving Quadratics by Factorising

Equations and Inequalities8 Lessons7 Quizzes

Graphs13 Lessons9 Quizzes

Straight Line Graphs10 Lessons10 Quizzes

Circles12 Lessons7 Quizzes

Circles  Intro

The Equation of a Circle

Calculating the Centre and Radius of a Circle

Problem Solving with Circles

Intersecting Lines and Circles  part 1

Intersecting Lines and Circles  part 2

Tangents to Circles

Tangents to Circles  example 1

Tangents to Circles  example 2

Circles and Triangles  part 1

Circles and Triangles  part 2

Circles and Triangles  part 3

Circles  Intro

Polynomial Division7 Lessons7 Quizzes

Proof6 Lessons3 Quizzes

Binomial Expansion7 Lessons5 Quizzes

Trigonometry 111 Lessons7 Quizzes

Trigonometry 211 Lessons6 Quizzes

Multiple Solutions to Sine Equations

Multiple Solutions to Cosine Equations

Multiple Solutions to Tan Equations

Trigonometric Identities

Solving Equations Using the Tan Identity

Solving Quadratic Trig Equations  part 1

Solving Quadratic Trig Equations  part 2

Further Trig Equations  part 1

Further Trig Equations  part 2

Proving Trigonometric Identities  part 1

Proving Trigonometric Identities  part 2

Multiple Solutions to Sine Equations

Vectors7 Lessons4 Quizzes

Differentiation18 Lessons11 Quizzes

Gradients of Curves

First Principles Differentiation at a Point

First Principles Differentiation in General

The x^n Rule

Differentiating Simple Polynomials

Differentiating Negative Powers

Differentiating Fractional Powers

Differentiating Mixed Functions

Using Gradient Functions

Tangents and Normals

Tangents and Normals  Exam Questions

Increasing and Decreasing Functions

Stationary Points

Second Derivatives

Sketching Gradient Functions

Optimisation  part 1

Optimisation  part 2

Calculator Use in Differentiation

Gradients of Curves

Integration10 Lessons6 Quizzes

Exponentials and Logarithms15 Lessons13 Quizzes

Exponentials Introduction

THE Exponential Function

Differentiating e^x

Exponential Modelling

Logarithms Introduction

Simplifying Logarithms

Laws of Logarithms

Using the Log Laws

Solving Logarithmic Equations  part 1

Solving Logarithmic Equations  part 2

The Natural Log

Graphs of Logarithms

NonLinear Data  Exponential Models

NonLinear Data  Polynomial Models

NonLinear Data  Exam Question

Exponentials Introduction
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