Units 1 & 2 Specialist Maths
These lessons are for the 2016 - 2022 Study Design
These lessons are for the 2016 - 2022 Study Design
Number Systems & Sets
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Sets of Numbers and Notation
Surds
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Modulus Function
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Sequences and Series
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Introduction to Sequences
Arithmetic Series
Geometric Series
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Arithmetic Sequence
Geometric Sequence
Infinite Geometric Series
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Algebra Techniques
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Polynomial Identities
Rates and Quadratic Equations
Simultaneous Equations
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Quadratic Equations
Partial Equations
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Complex Numbers
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Definition, Addition & Subtraction
Argand Diagrams
Polar Form of Complex Numbers
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Multiplication and Division
Solving Equations with Complex Numbers
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Permutations and Combinations
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Factorial and Permutations
Permutations of Like Objects
Combinations with Restrictions
The Pigeonhole Principle
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Permutations with Restrictions
Combinations
Pascal’s Triangle
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Sampling and Sampling Distributions
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Definitions
Shape of Sample Proportion Distribution
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Hypergeometric and Binomial Distributions
The Distribution of the Sample Mean
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Trigonometry - Functions and Proofs
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Unit Circle & Symmetry Properties
Reciprocal Circular Functions & Pythagorean Identity
Simplify a sin(x) + b cos(x)
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Tangent Function
Addition and Double Angle Formula
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Conic, Polar and Parametric Graphs
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Reciprocal Functions
Conic Section - Parabolas (locus definition)
Conic Section - Hyperbola (locus definition)
Parametric Equations of graphs
(Hyperbola, restricted domain, intersection) Graphing with Polar Co-ordinates
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Conic Section - Circle, straight line (locus definition)
Conic Section - Ellipses (locus definition)
Parametric Equations of graphs (Line, circle, ellipse)
Polar Co-ordinates
Funky Polar Graphs
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Trigonometry - Ratios and Applications
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Ratios - SOHCAHTOA
Cosine Rule
Circle Mensuration
3-D Problems
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Sine Rule
Area of a Triangle
Elevation, Depression and Bearings
Angle Between Planes
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Vectors
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Vectors - Definitions
Scalar (dot) Product of Vectors
Geometric Proofs
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Vector Components
Vector Projections (resolutes)
Vectors in 3-Dimensions
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