15
Modules
158
Topics
1015
hours
Modules (15)
Resources ()

Module 1
Counting and Probability
Resources availableLearn more about counting and probability.Arrangements
Start TopicExpected Value
Start TopicProbability of simple events
Start TopicProbability of compound events
Start TopicIndependent events
Start TopicProbability using tree diagrams
Start TopicProbability trees with and without replacement
Start TopicSimple Bernoulli Trials
Start TopicBernoulli Trials  Part 2
Start Topic 
Module 2
Statistics
Resources availableLearn more about statistics.Cumulative frequency and the Ogive
Start TopicCumulative frequency, quartiles and the interquartile range
Start TopicMean of grouped frequency tables
Start TopicConstructing a stem and leaf diagram
Start TopicComparative stem and leaf diagram
Start TopicHistograms  Understanding that area gives frequency
Start TopicStatistical correlation
Start TopicMeasuring correlation  Pearson's Correlation Coefficient
Start TopicUsing Excel to calculate Pearson's Correlation Coefficient
Start TopicUsing Excel to find Pearson's Correlation Coefficient, using the inbuilt function
Start Topic 
Module 3
Synthetic Geometry
Resources availableLearn more about synthetic geometry.Properties of Shapes
Start TopicGeometric reasoning  Part 1
Start TopicGeometric reasoning  Part 2
Start TopicGeometric reasoning  Part 3
Start Topic 
Module 4
Coordinate Geometry
Resources availableLearn more about coordinate geometry.Geometry with coordinates
Start TopicEquation of a straight line
Start TopicParallel lines
Start TopicPerpendicular lines
Start TopicThe graphs of y=kx^n
Start TopicTranslation of functions
Start TopicReflection of functions
Start TopicStretching functions
Start TopicGeneral transformation of functions
Start TopicEquation of a circle 1  Centre (0,0)
Start TopicEquation of a circle 1  Centre not (0,0)
Start TopicDiameter of a circle
Start TopicTangent and normal to a circle
Start Topic 
Module 5
Trigonometry
Resources availableLearn more about trigonometry.Finding angles with sine ratio
Start TopicFinding sides with the sine ratio
Start TopicFinding angles with the cosine ratio
Start TopicFinding sides with the cosine ratio
Start TopicFinding angles with the tangent ratio
Start TopicFinding sides with the tangent ratio
Start TopicFinding a missing side with the Sine Rule
Start TopicFinding a missing angle with the Sine Rule
Start TopicProblem solving with the Cosine Rule
Start TopicFinding areas with trigonometry
Start TopicArea of a segment
Start Topic 
Module 6
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 TopicArithmetic series
Start TopicGeometric series
Start TopicRational or irrational
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 Topic 
Module 7
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 Topic 
Module 8
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 9
Complex Numbers
Resources available 
Module 10
Expressions and Formulae
Resources availableLearn more about expressions and formulae.Factorising quadratics
Start TopicFactorising – Difference of two squares
Start TopicExpanding brackets (grid method)
Start TopicExpanding brackets (FOIL method)
Start TopicExpanding any two brackets
Start TopicRearranging simple formulae
Start TopicRearranging simple formulae  2 steps
Start TopicRearranging formulae with squares and square roots
Start TopicRearranging formulae new subject appearing twice
Start Topic 
Module 11
Solving Equations
Resources availableLearn more about solving equations.Equations with linear functions in the denominator
Start TopicQuadratic equations using the formula
Start TopicQuadratic equations non unitary x squared
Start TopicQuadratic equations both brackets the same sign
Start TopicQuadratic equations brackets with different signs
Start TopicQuadratic equations that have to be rearranged
Start TopicFrom roots to functions
Start TopicSolving simultaneous equations graphically
Start TopicSimultaneous equations both negative signs
Start TopicSimultaneous equations negative and positive signs
Start TopicSimultaneous equations both positive
Start TopicEquations with indices
Start TopicNonlinear simultaneous equations
Start Topic 
Module 12
Inequalities
Resources availableLearn more about inequalities.Finding inequalities from shaded regions
Start TopicSolving linear inequalities with fractions
Start Topic 
Module 13
Functions
Resources availableLearn more about functions.Plotting quadratic graphs from table of values
Start TopicPlotting cubic graphs from table of values
Start TopicPlotting reciprocal graphs from table of values
Start TopicPlotting exponential graphs from table of values
Start TopicMatching equations and sketches
Start TopicMatching functions and graphs – quadratic / exponential
Start TopicTranslation of functions using f(xa)
Start TopicTranslating of functions using f(x)+a
Start TopicSketching functions in x direction
Start TopicSketching functions in the y direction
Start TopicThe Discriminant
Start Topic 
Module 14
Calculus  Differentiation
Resources availableLearn more about differentiation.Basic differentiation of y = x^n
Start TopicDifferentiation of polynomials
Start TopicEquation of a tangent
Start TopicEquation of a normal
Start TopicGeneral differentiation of x^n
Start TopicSecond derivative
Start TopicDifferentiation of tangents
Start TopicDifferentiating products and quotients
Start TopicDifferentiation and rates of change
Start TopicThe Chain Rule
Start TopicThe Product Rule
Start TopicThe Quotient Rule
Start TopicApplications of differentiation 1 (displacement / velocity / acceleration)
Start TopicApplications of differentiation 2 (voltage / current)
Start TopicDifferentiation and turning points
Start TopicMaximum volume of box
Start TopicDifferentiation and matching graphs
Start Topic 
end of course assessment

Module 15
Project Maths  Ordinary Level Assessment
Resources availableYou must score 80% or more to pass this assessment.Project Maths  Ordinary Level Assessment
Start Assessment