reception

Year 1

Year 2

Year 3

Year 4

Year 5

Year 6

Year 7

Year 8

Year 9

Year 10

Year 11

• Simplify Whole Number Radicals Into Radical Form
• Imaginary Unit I
• Standard Form Of Complex Numbers
• Adding With Complex Numbers
• Subtracting With Complex Numbers
• Powers Of I
• Multiplying With Complex Numbers
• Complex Conjugates
• Dividing With Complex Numbers
• Add, Subtract, Multiply And Divide Complex Numbers
• Factoring A Sum Of Squares Using Complex Numbers

Year 12

• Complex Numbers: Mixed Review
• The Real Part And The Imaginary Part Of A Complex Numbers
• Pure Imaginary Numbers Or Real Numbers
• Simplifying Pure Imaginary Numbers
• Properties Of Complex Numbers
• Complex Conjugates: Mixed Review
• Properties Of Complex Conjugates
• The Reciprocal Of A Complex Number
• Modulus Of A Complex Number
• Properties Of The Modulus Of A Complex Number
• Relationship Between The Complex Conjugate And The Modulus
• Relationship Between Addition And The Modulus Of A Complex Number
• Modulus Of Products And Quotients
• Solving Equations Involving The Modulus
• Powers Of Complex Numbers And The Modulus
• Argument Of Complex Numbers
• Finding The Argument Of A Complex Number In Radians
• Properties Of Argument Of Complex Numbers
• Finding The Principal Argument Of A Complex Number
• Finding The Argument Of A Complex Number Using The Inverse Tangent Function
• Finding The Argument Of A Complex Number Using Positive Acute Angles
• The Relationship Between The Complex Conjugate And The Argument
• Finding Argument Of The Conjugate Of A Complex Number
• Finding Arguments Of Products And Quotients
• Finding The Argument Of Powers Of Complex Numbers (In Algebraic Form)
• Finding The Modulus And The Argument Of A Complex Number
• Polar Form Of A Complex Number
• Writing A Complex Number In Polar Form Given Its Modulus And Principal Argument
• Finding The Polar Form Of Complex Numbers Represented On The Argand Diagram
• Finding The Modulus And Principal Argument Of Complex Numbers In Polar Form
• Converting A Complex Number From The Cartesian To The Polar Form
• Converting Complex Numbers From The Polar To The Cartesian Form
• Polar Form Of The Conjugate Of A Complex Number
• Multiplication Of Complex Numbers In Polar Form
• The Quotient Of Complex Numbers In Polar Form
• The Reciprocal Of A Complex Number In Polar Form 108) Euler’s Formula
• Relationship Between Sine, Cosine, And The Exponential Function
• Exponential Form Of A Complex Number
• Converting Complex Numbers From Polar To Exponential Form
• Converting Complex Numbers From Cartesian To Exponential Form
• Converting Complex Numbers From Exponential To Cartesian Form
• Converting Complex Numbers Between Exponential And Polar And Cartesian Form
• Multiplication Of Complex Numbers In Exponential Form
• Euler’s Formula
• Division Of Complex Numbers In Exponential Form
• Conjugate Of Complex Numbers In Exponential Form
• Adding Complex Numbers In Exponential Form
• Properties Of Complex Numbers In Exponential Form
• De Moivre’s Theorem Formula
• Using De Moivre’s Theorem To Find The Product Of Complex Powers
• Using De Moivre’s Theorem To Find The Difference Of Complex Powers
• Using De Moivre’s Theorem To Raise To A Power
• Solving Problems With Powers Of Complex Numbers
• Using De Moivre’s Theorem To Find The Roots Of A Complex Number
• Initial point of a vector
• Terminal point of a vector
• Direction of a vector
• Magnitude of vector
• Represent vectors graphically
• Scalar multiplication of a vector
• Represent Vector Operations Algebraically
• Represent Vector Operations Graphically
• Properties Of Vector Addition
• Properties Of Vector Scalar Multiplication
• Unit Vectors
• Write A Linear Combination Of Unit Vectors
• Find Direction Angles Of Vectors
• Component Form Of A Vector
• Transform A Vector Using Matrix Multiplication
• Find The Area Of A Parallelogram Defined By Vectors
• Find The Area Of A Triangle Defined By Vectors
• Use Vectors To Determine Weight
• Use Vectors To Find Speed And Direction
• Finding Dot Products Of Two Vectors
• Properties Of The Dot Product
• Find The Angle Between Two Vectors
• Orthogonal Vectors
• Vector Components
• Determine Work Using Vectors
• Find The Modulus Of A Complex Number
• Represent A Complex Number In Polar Form
• Use Polar Form To Multiply Complex Numbers
• Use Polar Form To Raise A Number To A Power
• Plot Points In The Polar Coordinate System
• Convert Points From Polar To Rectangular From
• Convert Points From Rectangular To Polar Form
• Convert Polar Equations To Rectangular Form
• Graph Polar Equations By Plotting Points
• Test For Symmetry In Polar Coordinates
• Use Symmetry To Graph A Polar Equation
• Special Polar Graphs: Limacons
• Identify Special Polar Graphs: Rose Curves
• Identify Special Polar Graphs: Lemniscates
• Identify Special Polar Graphs: Circles
• Graph A Rose Curve
• Graph A Lemniscate
• Identify The Type Of Conic From A Polar Equation
• Graph A Conic From Its Polar Equation
• Find The Polar Equation Of A Conic
• Write Trigonometric Forms Of Complex Numbers
• Multiply Complex Numbers Written In Trigonometric Form
• Divide Complex Numbers Written In Trigonometric Form
• Use Demoivre’s Theorem To Find Powers Of Complex Numbers
• Find Nth Roots Of Complex Numbers
• Multiplying In The Complex Plane
• Dividing In The Complex Plane