5
Modules
84
Topics
34
hours
Modules (5)
Resources ()

project maths strand 3 higher level: numbers and ...

Module 1
Number Systems
Resources availableLearn more about number systems.Large numbers in standard form
Start TopicChanging decimals to standard fom
Start TopicChanging large numbers from standard form
Start TopicChanging small numbers from standard form
Start TopicAdding and multiplying simple powers
Start TopicWorking with indices
Start TopicNegative indices
Start TopicFractional indices, numerator of 1
Start TopicIndex power equal to 0
Start TopicPositive fractional indices all types
Start TopicNegative fractional indices
Start TopicWriting index numbers as a power of 2
Start TopicQuadratic number patterns
Start TopicManipulating complex numbers and the complex conjugate
Start TopicThe Argand Diagram and Modulus
Start TopicThe meaning of i
Start TopicPatterns with imaginary numbers
Start TopicRational or irrational
Start TopicRoot 2 is Irrational – Proof by contradiction
Start TopicFinding the cube roots of 8
Start TopicChanging the base of logarithms
Start TopicLogarithmic equations
Start TopicLimits of sequences
Start TopicArithmetic series
Start TopicGeometric series
Start TopicInfinite geometric series  Part 1
Start TopicInfinite geometric series  Part 2
Start TopicDeriving Amortisation formula from geometric series
Start TopicThe sum of the first n natural numbers – Proof by induction
Start TopicProof by induction applied to a geometric series
Start TopicFurther proof by induction – Multiples of 3
Start TopicFurther proof by induction – Factorials and powers
Start Topic 
Module 2
Arithmetic  Financial Maths
Resources availableLearn more about arithmetic using financial maths.Profit, markup and margin
Start TopicCalculating profit with special offers
Start TopicPercentage loss  Part 1
Start TopicPercentage loss  Part 2
Start TopicSimple interest – Calculating the interest
Start TopicSimple interest – Calculating the rate
Start TopicSimple interest – Calculating the principal
Start TopicSimple interest – Calculating the period
Start TopicPercentage changes using multipliers
Start TopicReverse percentages and VAT
Start TopicIntroducing compound interest
Start TopicCompound interest and Annual Equivalent Rate
Start TopicCompound interest APR with credit cards
Start TopicDepreciation
Start TopicCalculating APR
Start TopicCalculating monthly interest from APR – 2 methods
Start TopicIncome tax, USC and PRSI
Start TopicNet pay/Take home pay
Start TopicPresent value – Working out future value
Start TopicPresent value – Working out present value
Start TopicPresent value – Harder example
Start TopicPresent value and amortisation problem
Start TopicCompleting an amortization schedule
Start TopicSavings and amortization
Start Topic 
Module 3
Length, Area and Volume
Resources availableLearn more about length, area and volume.Circumference of a circle
Start TopicArea of a circle
Start TopicFinding radius and diameter of a circle from its perimeter
Start TopicFinding radius and diameter from area of circle
Start TopicArea of trapezium
Start TopicArea of acute angled triangles
Start TopicArea of obtuse angled triangles
Start TopicArea of parallelogram
Start TopicArea of rectangles
Start TopicArea Compound Shapes (rectangles)
Start TopicArea of compound shapes
Start TopicArea of Compound shapes (Triangles)
Start TopicVolume and surface area
Start TopicSectors and arcs
Start TopicArea of a segment
Start TopicVolume of compound solid
Start Topic 
Module 4
Complex Numbers
Resources availableLearn more about complex numbers.Manipulating complex numbers and the complex conjugate
Start TopicThe Argand Diagram and Modulus
Start TopicThe meaning of i
Start TopicPatterns with imaginary numbers
Start TopicWriting complex numbers in polar form
Start TopicMultiplying and dividing in polar form (proof)
Start TopicMultiplying and dividing in polar form (example)
Start TopicProof of De Moivre’s Theorem
Start TopicComplex numbers when solving quadratic equations
Start TopicCubic equations with complex roots
Start TopicFinding the cube roots of 8
Start Topic 
end of course assessment

Strand 3 Higher Level Numbers and Shapes Assessment
Resources availableYou must score 80% or more to pass this assessment.Strand 3 Higher Level Numbers Assessment
Start Assessment 
resource
 Resource: Examination Material Archive