Algebra:-


Algebra - terminology
Algebra - reminder
Inequalities
Algebraic fractions
Partial fractions
Algebra 1 A Powerpoint presentation for beginners. (815KB)
Algebra 2 A Powerpoint presentation for intermediate algebra. (923 KB)

Completing the Square
Completing the Square - usefulness for Quadratics
(Higher)

Changing the subject of the formula

Distance, Speed & Time
  • Distance - time graphs


    • Difference of Two Squares
    (S4 and above)

    Factors
  • Factors

  • HCF

  • Multiples

  • LCM

  • Prime Factors

  • Factors - Removing brackets

  • FOIL

  • Factorising


    • Formulae
  • Formulae in words
  • Evaluating Formulae
  • Order of operations
  • Formulae in Symbols


    • Functions
  • Set Notation

  • Domain, Codomain & Range

  • One to One correspondence

  • Inverse function

  • Inverse function - Algebraic method

  • Inverse function - graphical method

  • Functions - composite functions

  • Try some ! (Livemath plug in required)

  • simple graphs of functions

  • Graphs of Functions

    • An Excel reminder. (161 KB)

    Logarithms and Exponential functions (Higher )
  • Exponentials

  • Growth functions

  • Decay functions

  • Logarithms

  • Logarithms - converting bases

  • Logarithmic Equations

  • Logarithm Laws

  • Log and ln
  • Exponential / Log Functions - graphs

  • Logarithmic Scales on Graphs

  • Exponential / Log Functions - graphs
    An Excel reminder.
    (Higher) (86 KB)



  • Indices

  • Indices

    • A short Excel reminder. (42KB)

    Joint Variation (Standard Grade)
  • Direct Proportion

  • Indirect Proportion

  • Proportion - square


    • Polynomials
  • Coefficients etc.

  • Nested Form.

  • Dividing Polynomials

  • The Factor Theorem

  • The Remainder Theorem

  • Synthetic Division

  • Dividing by ax+b

  • Solving polynomial equations
  • Sketching polynomial equations


    • Quadratics
  • Quadratics

  • Factorizing Quadratics

  • Finding Roots of Quadratics

  • Finding Roots of Quadratics which don't factorise easily

  • Quadratic formula

  • Finding Roots of Quadratics - Derivation

  • Quadratic graphs

  • Sketching quadratic functions

  • Discriminant

  • Quadratic equations

  • Quadratic graphs - Tangency

  • Finding Roots of Quadratics
    An Excel document reminder. (50 KB)


    • Sequences

    Higher sequences
  • nth term of sequence

  • Recurrence relations

  • Divergence / Convergence

  • Linear recurrence relations

  • Formula for Linear recurrence relations

  • Solving recurrence relations

  • Special sequences



    • Simultaneous Equations
  • Simultaneous Equations : Graphical Method

  • Simultaneous Equations : Solving by Elimination


    • Surds
    Surds test