• 8
    Year 8 Standards
Top Mathematicians
  • Statistics
    • 8.S.1.1
      Statistical investigation
      Carry out investigations of phenomena, using the statistical enquiry cycle:
      – conducting experiments using experimental design principles, conducting surveys, and using existing data sets;
      – finding, using, and assessing appropriate models (including linear regression for bivariate data and additive models for timeseries data), seeking explanations, and making predictions;
      – using informed contextual knowledge, exploratory data analysis, and statistical inference;
      – communicating fi ndings and evaluating all stages of the cycle.
      Make inferences from surveys and experiments:
      – determining estimates and confi dence intervals for means, proportions, and differences, recognising the relevance of the central limit theorem;
      – using methods such as resampling or randomisation to assess the strength of evidence.
    • 8.S.1.2
      Statistical literacy
      Evaluate a wide range of statistically based reports, including surveys and polls, experiments, and observational studies:
      – critiquing causal-relationship claims;
      – interpreting margins of error.
    • 8.S.1.3
      Investigate situations that involve elements of chance:
      – calculating probabilities of independent, combined, and conditional events;
      – calculating and interpreting expected values and standard deviations of discrete random variables;
      – applying distributions such as the Poisson, binomial, and normal.
  • Mathematics
    • 8.MA.1.1
      Patterns and relationships
      Apply the geometry of conic sections.
      Display and interpret the graphs of functions with the graphs of their inverse and/or reciprocal functions.
      Use permutations and combinations.
      Use curve fi tting, log modelling, and linear programming techniques.
      Develop network diagrams to fi nd optimal solutions, including critical paths.
    • 8.MA.1.2
      Equations and expressions
      Manipulate trigonometric expressions.
      Form and use trigonometric, polynomial, and other non-linear equations.
      Form and use systems of simultaneous equations, including three linear equations and three variables, and interpret the solutions in context.
      Manipulate complex numbers and present them graphically
    • 8.MA.1.3
      Identify discontinuities and limits of functions.
      Choose and apply a variety of differentiation, integration, and antidifferentiation techniques to functions and relations, using both analytical and numerical methods.
      Form differential equations and interpret the solutions.