Topic 1: Functions and Graphs
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Finding Midpoints on a cartesian plane
Finding a point given a point and a midpoint
The distance formula
Parallel lines and their gradients
Perpendicular lines and their gradients
Relations Domain and Range
What's a function
Function notation
Graphing on calculator using restricted domains
Function Transformations intro
Function transformation afx
Function transformation f(x+a)
Functions Transformation fx+a
Functions transformations f(ax)
domain and range notation
Anatomy of a quadratic graph
Solving Quadratics 3 ways
Review of sketching quadratics two ways
Modelling and problem solving with quadratics
solving simultaneous equations using quadratic and linear graphs
Direct vs inverse proportion
Equations of hyperbola and sketching
Finding equation of reciprocal function from sketch
Equation of a circle sketching and finding coordinates
Sketching a circle on a cartesian plane
Equation of a circle finding intersection using simultaneous equations
Finding a linear factor of a polynomial
Topic 2: Trigonometric Functions
Trig Ratios fast
The Sine Rule Fast
The sine rule ambiguous case
The cosine rule
Area of a triangle using trigonometry
True Bearings
Bearings and Trigonometry an example
How to Draw the Diagrams for Trig Applications Questions (Bearings and Elevation/Depression
Draw in 3D
Introduction to Radians
Converting Radians to Degrees and Degrees to Radians
Radians quick angles
Standard triangles
The Unit Circle
The Unit Circle The Tan Ratio
The Unit Circle and Symmetry
The unit circle CAST and why CAST works
Finding exact trig ratios involving negative angles
Finding exact values of trig ratios around the unit circle
The Unit Circle Finding exact values of negative trig ratios
The unit circle Boundary angles
The unit circle solving unknown angles
Solving Simple Trig Equations Worksheet (worksheet in Description)
The unit circle solving unknowns in trig equations
Sketching SinX and CosX
Sketching y = AsinX and AcosX
Sketching y = AsinX +D and AcosX + D
Sketching y = AsinBx + D or y = AcosBx +D
Sketching y = AsinB(x+C)+D
Finding the equation of a periodic function from a graph or sketch
Complementary trig functions
Trig Addition identities part 1
Trig Addition Identities Part 2
Trig Addition Identities Part 3
Trig Identities part 4
Revision of radians and the unit circle
Topic 3: Counting and Probability
Pascal's Triangle and Selections
Binomial expansion using pascal's triangle
Factorials!
Combinations
The Language of Sets
Basic Set Theory
The inclusion exclusion principle for 2 and 3 sets
Theoretical Probability with sets
All Probabilities sum to 1
Venn Diagrams the complement
Experimental probability
simplified tree diagram
The Addition rule of probability
Probability Tables intro
Conditional Probability formula
Conditional Probability Do you watch the bachelorette
Conditional probability rearranging the formula
Conditional Probability and Tree Diagrams
Independent events intro and tests
Independent events 2
Addition and Multiplication principles
