Maths A Level Videos

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1.1 Algebraic Expressions Playlist

• Algebraic Expressions | Prior Knowledge Check 
• The Laws of Indices
• Expanding Brackets
• Factorised and Expanded Expressions
• Factorising Quadratics
• Manipulating Indices
• Surds
• Rationalising the Denominator
• Rationalising the Denominator | 1st Principles and Using Formulae

1.2 Quadratics Playlist

• Quadratics | Factorisation Review 
• Quadratics | Prior Knowledge Check
• Quadratics | Completing the Square
• Quadratics | Functions: Range and Domain 
• Quadratics - The Discriminant
• Quadratics – Modelling with Quadratics

1.3 Equations and Inequalities Playlist

• Equations and Inequalities | Prior Knowledge Check
• Simultaneous Linear Equations
• Simultaneous Quadratic and Linear Equations 
• Intersections of Straight Lines and Circles
• Simultaneous Equations on Graphs and Number Lines
• Linear Inequalities
• Solving Quadratic and Linear Inequalities
• Solving Quadratic and Linear Inequalities Using Graphs

1.4 Graphs and Transformations Playlist

• Graphs and Transformations | Prior Knowledge Check
• Sketching Graphs
• Transformations of Polynomial and Reciprocal Functions
• Transformations of Straight Line, Quadratic and Trigonometric Functions
• Stretching Graphs

1.5 Straight Line Graphs Playlist

• Straight Line Equations | Prior Knowledge Check
• Equation of a Straight Line
• Parallel and Perpendicular Lines
• Length and Area
• Modelling with Straight Lines

1.6 Quadratics and Straight Lines Playlist

• Quadratics and Straight Lines | Prior Knowledge Check
• Midpoints and Perpendicular Bisectors
• Equation of a Circle
• Intersections of Straight Lines and Circles
• Circles - Tangents and Chord Properties
• Circle and Triangle Properties

1.7 Algebraic Methods Playlist

• Algebraic Methods | Prior Knowledge Check
• Algebraic Fractions
• Dividing Polynomials
• The Factor Theorem
• Mathematical Proof
• Methods of Proof

1.8 Binomial Expansion Playlist

• The Binomial Expansion | Prior Knowledge Check
• Binomial Estimation
• Pascal's Triangle
• Combinations and The Binomial Expansion
• Binomial Problem Solving

1.9 Trigonometric Ratios Playlist

• Trigonometric Ratios | Prior Knowledge Check
• The Cosine Rule
• The Sine Rule
• Areas of Triangles
• Graphs of Sine, Cosine and Tangent
• Transforming Trigonometric Graphs

1.10 Trigonometric Identities & Equations Playlist

• Trigonometric Identities and Equations | Prior Knowledge Check
• Angles in all Four Quadrants
• Exact Values of Trigonometrical Ratios
• Trigonometric Identities
• Trigonometric Equations
• Equations and Identities

1.11 Vectors Playlist

• Vectors | Prior Knowledge Check
• Introduction to Vectors
• Representing Vectors
• Magnitude and Direction
• Position Vectors
• Solving Geometric Problems
• Modelling with Vectors

1.12 Differentiation Playlist

• Differentiation | Prior Knowledge Check
• Gradients of Curves
• Differentiating Quadratics
• Differentiating Functions with Two or More Terms
• Gradients, Tangents and Normals
• Increasing and Decreasing Functions
• Second Order Derivatives
• Stationary Points
• Sketching Gradient Functions
• Modelling with Differentiation

1.13 Integration Playlist

• Integration | Prior Knowledge Check
• Integrating Polynomials
• Indefinite Integrals
• Definite Integrals
• Area Under a Curve
• Areas Between Curves and Lines

1.14 Exponentials and Logarithms Playlist

• Exponentials and Logarithms | Prior Knowledge Check
• Exponential Functions
• General Exponential Functions and 𝑒^𝑥
• Exponential Modelling
• Laws of Logarithms
• Logarithms
• Solving Equations Using Logarithms
• Working with Natural Logarithms
• Logarithms and Non-Linear Data

2.1 Data Collection Playlist

• Data Collection | Prior Knowledge Check 
• Populations and Samples
• Sampling
• Types of Data
• The Large Data Set

2.2 Measures of Location and Spread Playlist

• Measures of Location and Spread | Prior knowledge Check
• Measures of Location and Spread
• Measures of Spread
• Variance and Standard Deviation
• Coding

2.3 Representations of Data

• Representations of Data | Prior Knowledge Check
• Outliers
• Box Plots
• Cumulative Frequency
• Histograms
• Comparing Data

2.4 Correlation

• Correlation | Prior Knowledge Check
• Correlation
• Linear Regression

2.5 Probability Playlist

• Probability | Prior Knowledge Check
• Calculating Probabilities
• Venn Diagrams
• Tree Diagrams

2.6 Distributions

• Statistical Distributions
• Probability Distributions
• The Binomial Distribution
• Cumulative Probabilities

2.7 Hypothesis Testing

• Hypothesis Testing | Prior Knowledge Check
• Introduction to Hypothesis Testing | Finding Critical Values
• One-tailed Tests
• Two-tailed Tests

3.1 Modelling in Mechanics Playlist

• Modelling in Mechanics | Prior Knowledge Check
• Constructing a Model
• Modelling Assumptions
• Quantities and Units
• Working with Vectors

3.2 Constant Acceleration Playlist

• Constant Acceleration | Prior Knowledge Check
• Displacement-Time Graphs
• Velocity-Time Graphs
• Constant Acceleration Formulae Part 1
• Constant Acceleration Formulae Part 2
• Vertical Motion Under Gravity

3.3 Forces and Motion Playlist

• Forces and Motion | Prior Knowledge Check
• Force Diagrams
• Forces as Vectors
• Forces and Acceleration
• Forces in Two Dimensions
• Connected Particles
• Pulleys

3.4 Variable Acceleration Playlist

• Variable Acceleration | Prior Knowledge Check
• Functions of Time, Differentiation and Maxima and Minima
• Using Integration
• Constant Acceleration Formulae

 1.1 Algebraic Methods Playlist

• Algebraic Methods | Prior Knowledge Check 
• Proof by Contradiction
• Algebraic Fractions
• Algebraic Division
• Repeated Factors

1.2 Functions and Graphs Playlist

• Functions and Graphs | Prior Knowledge Check 
• The Modulus Function
• Functions and Mappings
• Composite Functions
• Inverse Functions
• y=|f(x)| and y=f(|x|)
• Combining Transformations
• Solving Modulus Problems

1.3 Sequences and Series Playlist

• Sequences and Series | Prior Knowledge Check 
• Arithmetic Sequences
• Arithmetic Series
• Geometric Sequences
• Geometric Series
• Sum to Infinity
• Sigma Notation
• Recurrence Relations
• Modelling Series

1.4 The Binomial Expansion Playlist

• The Binomial Expansion | Prior Knowledge Check 
• Expanding (1+x)^n
• Expanding (a+bx)^n
• Using Partial Fractions

1.5 Radians Playlist

• Radian Measure Part 1
• Radian Measure Part 2
• Arc Length
• Areas of Sectors and Segments
• Solving Trigonometric Equations
• Small Angle Approximations

1.6 Trigonometric Functions Playlist

• Trigonometric Functions | Prior Knowledge Check
• Secant, Cosecant and Cotangent
• Graphs of sec, cosec, cot
• Using sec(x), cosec(x) and cot(x)
• Trigonometric Identities
• Inverse Trigonometric Functions

1.7 Trigonometry and Modelling

• Trigonometry and Modelling | Prior Knowledge Check
• Addition Formulae
• Using the Angle Addition Formulae
• Double Angle Formulae
• Solving Trigonometric Equations
• Simplifying acosx+-bsinx
• Proving Trigonometric Identities
• Modelling with Trigonometric Functions

1.8 Parametric Equations Playlist

• Parametric Equations | Prior Knowledge Check
• Parametric Equations
• Using Trigonometric Identities
• Curve Sketching
• Points of Intersection

1.9 Differentiation Playlist

• Differentiation | Prior Knowledge Check
• Differentiating sinx and cosx
• Differentiating Exponentials and Logarithms
• The Chain Rule
• The Product Rule
• The Quotient Rule
• Differentiating Trigonometric Functions
• Parametric Differentiation
• Implicit Differentiation
• Using Second Derivatives
• Rates of Change

1.10 Numerical Methods

• Numerical Methods | Prior Knowledge Check
• Locating Roots
• Iteration
• The Newton Raphson Method

1.11 Integration

• Integration | Prior Knowledge Check
• Integrating Standard Functions
• Integrating f(ax+b)
• Using Trigonometric Identities
• Integration by Substitution
• Integration by Parts
• Partial Fractions
• Finding Areas

1.1 Regression, Correlation and Hypothesis Testing Playlist

• Regression, Correlation & Hypothesis Testing | Prior Knowledge Check 
• Exponential Models
• Measuring Correlation
• Hypothesis Testing for Zero Correlation

1.2 Conditional Probability

1.3 The Normal Distribution

 1.1 Moments

1.2 Forces and Friction

1.3 Projectiles

1.4 Applications of Forces

1.5 Further Kinematics