Topic 1 & 2: Exponential & Logarithmic Functions
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Exponential Functions Basic shape and Translations
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Exponential Functions Dilations
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Exponential functions 2 Sketching
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Exponential functions sketching part 2
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Exponential functions 3 Finding equation from a sketch
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Exponential Model and Applications
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Logs 1 Intro to Logarithms
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Solving Indicial equations
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Harder Indicial Equations
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Indicial equations super hard quadratic action
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Indicial equations The hardest one
Topic 3: Trigonometric Functions
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Introduction to Radians
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Converting Radians to Degrees and Degrees to Radians
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Radians quick angles
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Standard triangles
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The Unit Circle
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The Unit Circle The Tan Ratio
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The Unit Circle and Symmetry
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The unit circle CAST and why CAST works
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Finding exact trig ratios involving negative angles
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Finding exact values of trig ratios around the unit circle
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The Unit Circle Finding exact values of negative trig ratios
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The unit circle Boundary angles
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The unit circle solving unknown angles
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Solving Simple Trig Equations Worksheet (worksheet in Description)
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The unit circle solving unknowns in trig equations
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Pythagorean identity
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Pythagorean identity rearrangement
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Using Pythagorean Identities Part 1
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Solving trig identity equations using quadratics
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Solving trig identity equations using quadratics part 2
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Sketching SinX and CosX
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Sketching y = AsinX and AcosX
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Sketching y = AsinX +D and AcosX + D
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Sketching y = AsinBx + D or y = AcosBx +D
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Sketching y = AsinB(x+C)+D
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Finding the equation of a periodic function from a graph or sketch
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Revision of radians and the unit circle
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Solving and simplifying using trig identities
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Solving Trig equations The Tricky 3 Quantum of Quadratics
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Solving Trig equations The Tricky 3 Square or Die
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Solving Trig equations The Tricky 3 Domain Domination
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Sketching f(x) = tan(x) and why it looks like that.
Topic 4: Introduction to Differential Calculus
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Variable and constant rates of change
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Average rates of change
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Intro to instantaneous rates of change
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The Gradient function
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Differentiation from first principles
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Differentiating polynomials by rule
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Finding Stationary points
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Nature of Stationary points
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Optimisation when the function is unknown
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Introduction to Kinematics
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Finding the equation of a tangent
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Finding the equation of a normal
Topic 5: Further Differentiation and Applications 1
Topic 6: Discrete Random Variables 1
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Discrete Random Variables: Introduction and Examples
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Discrete Random Variables Uniform Distribution
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Discrete Random Variable Worked Example
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The Geometric Probability Distribution
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Expected Value of discrete random distributions
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Discrete random distributions Expected value challenging but important
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Variance and Standard Deviation: Discrete Random Variables
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Properties of Expected Value: aE(X)+b = E(aX + b)
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The alternative Variance formula Proof
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Alternative Variance Formula Worked Example
