Sixth year maths

Here is a list of all of the maths skills students learn in sixth year! These skills are organised into categories, and you can move your mouse over any skill name to preview the skill. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

Here is a list of all of the maths skills students learn in sixth year! To start practising, just click on any link.

Families of functions

  1. B.1
    Translations of functions
  2. B.2
    Reflections of functions
  3. B.3
    Dilations of functions
  4. B.4
    Transformations of functions
  5. B.5
    Function transformation rules
  6. B.6
    Describe function transformations

Rational functions

  1. E.1
    Rational functions: asymptotes and excluded values
  2. E.2
    Solve rational equations
  3. E.3
    Check whether two rational functions are inverses

Radical functions

  1. G.1
    Domain and range of radical functions
  2. G.2
    Solve radical equations

Inequalities and linear programming

  1. J.1
    Solve systems of inequalities by graphing
  2. J.2
    Find the vertices of a solution set
  3. J.3
    Linear programming

Nonlinear inequalities

  1. K.1
    Graph solutions to quadratic inequalities
  2. K.2
    Solve quadratic inequalities
  3. K.3
    Graph solutions to higher-degree inequalities
  4. K.4
    Solve higher-degree inequalities

Introduction to limits

  1. W.1
    Find limits using graphs
  2. W.2
    Find one-sided limits using graphs
  3. W.3
    Determine if a limit exists

Limits involving infinity

  1. Y.1
    Find limits at vertical asymptotes using graphs
  2. Y.2
    Determine end behaviour using graphs
  3. Y.3
    Determine end behaviour of polynomial and rational functions

Limits and rational functions

  1. Z.1
    Find the limit at a vertical asymptote of a rational function I
  2. Z.2
    Find the limit at a vertical asymptote of a rational function II

Derivative rules

  1. CC.1
    Sum and difference rules
  2. CC.2
    Product rule
  3. CC.3
    Quotient rule
  4. CC.4
    Power rule I
  5. CC.5
    Power rule II
  6. CC.6
    Chain rule
  7. CC.7
    Inverse function rule

Derivative strategies

  1. EE.1
    Find derivatives using implicit differentiation
  2. EE.2
    Find tangent lines using implicit differentiation
  3. EE.3
    Find derivatives using logarithmic differentiation

Rates of change

  1. GG.1
    Relate position, velocity, speed and acceleration using derivatives

L'Hospital's rule

  1. HH.1
    L'Hospital's rule: indeterminate forms involving quotients

Analyse functions using the first derivative

  1. II.1
    Mean Value Theorem
  2. II.2
    Find absolute extrema on a closed interval
  3. II.3
    Find intervals of increase and decrease
  4. II.4
    Identify the graph of the derivative from the graph of the function

Analyse functions using the second derivative

  1. JJ.1
    Identify the graph of the second derivative from the graph of the function

Optimisation

  1. KK.1
    Introduction to optimisation

Linear approximation

  1. LL.1
    Linear approximation

Fundamental Theorem of Calculus

  1. NN.1
    Fundamental Theorem of Calculus, Part 1
  2. NN.2
    Fundamental Theorem of Calculus, Part 2

Differential equations

  1. QQ.1
    Solve first-order initial value problems

Applications of integration

  1. RR.1
    Average value of a function
  2. RR.2
    Relate position, velocity, speed and acceleration using integrals