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6
Modules
74
Topics
610
hours
Modules (6)
Resources ()

enhance your mathematical knowledge from algebra to numbers

Module 1
Expressions and Formulae
Resources availableLearn about expression and formulae used in the Irish Higher level leaving cert maths.Expressions and Formulae  Learning Outcomes
Start TopicFactorising 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 TopicSimplifying Surds
Start TopicFurther Calculations with Surds
Start TopicCompleting The Square
Start TopicGeneral Completing The Square
Start TopicBinomial Expansion
Start TopicExpressions and Formulae  Lesson Summary
Start Topic 
Module 2
Solving Equations  Part 1
Resources availableLearn about solving equations and types of equations you will be asked to solve during the Irish Leaving Cert Higher Level Maths exam.Solving Equations  Part 1  Learning Outcomes
Start TopicEquations 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 TopicSolving Simultaneous Equations Graphically
Start TopicSimultaneous Equations Both Negative Signs
Start TopicSimultaneous Equations Negative and Positive Signs
Start TopicSimultaneous Equations Both Positive
Start TopicHidden Quadratics
Start TopicUse of The Discriminant
Start TopicEquations With Indices
Start TopicSolving Equations  Part 1  Lesson Summary
Start Topic 
Module 3
Solving Equations  Part 2
Resources availableLearn more about solving equations and types of equations you will be asked to solve during the Irish Leaving Cert Higher Level Maths exam.Solving Equations  Part 2  Learning Outcomes
Start TopicLogarithmic Equations
Start TopicSolving Exponential Equations
Start TopicFrom Roots to Functions
Start TopicNon Linear Simultaneous Equations
Start TopicFactor Theorem
Start TopicThe Remainder Theorem
Start TopicGeneral Remainder and Factor Theorem
Start TopicFinding Roots of Cubic Equation
Start TopicModulus Equations
Start TopicUsing Graphs to Solve Modulus Equations
Start TopicSolving Equations  Part 2  Lesson Summary
Start Topic 
Module 4
Inequalities
Resources availableLearn about solving and working out Inequalities in algebra for the Irish leaving cert higher level exam.Inequalities  Learning Outcomes
Start TopicFinding Inequalities from Shaded Regions
Start TopicSolving Linear Inequalities with Fractions
Start TopicSolving Quadratic Inequalities – Method 1
Start TopicSolving Quadratic Inequalities – Method 2
Start TopicSolving Quadratic Inequalities – Method 3
Start TopicNonUnitary x^2  Trial and Error Method
Start TopicNonUnitary x^2  Algebra Method
Start TopicNonunitary x^2  Graphical Method
Start TopicSolving Quadratic Inequalities  Special Cases
Start TopicRational Inequalities
Start TopicModulus Equations
Start TopicUsing Graphs to Solve Modulus Equations
Start TopicModulus Inequalities
Start TopicModulus Function On a Graph
Start TopicGraphical Solution of Modulus Inequalities
Start TopicInequalities  Lesson Summary
Start Topic 
Module 5
Complex Numbers
Resources availableLearn about how to work with and use complex numbers.Complex Numbers  Learning Outcomes
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 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 TopicComplex Numbers  Lesson Summary
Start Topic 
course assessment: Strand 4 Leaving Certificate Higher Level Algebra  Revised

Module 6
Course assessment
Resources available