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5
Modules
64
Topics
610
hours
Modules (5)
Resources ()

project maths strand 4 higher level algebra

Module 1
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 TopicSimplifying Surds
Start TopicFurther Calculations with Surds
Start TopicCompleting the Square
Start TopicGeneral Completing the Square
Start TopicBinomial expansion
Start Topic 
Module 2
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 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 TopicLogarithmic equations
Start TopicSolving exponential equations
Start TopicFrom roots to functions
Start TopicNonlinear 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 Topic 
Module 3
Inequalities
Resources availableLearn more about inequalities.Finding 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 functions
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 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 4 Higher Level Algebra Assessment
Resources availableLearn more about algebra.Strand 4 Higher Level Algebra Assessment
Start Assessment 
resource
 Resource: Examination Material Archive