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Achievement standards with achievement objectives – Level 3

Level 3 Achievement standards

  • AS91573 Mathematics and statistics 3.1 Apply the geometry of conic sections in solving problems – 3 credits; Internal
  • AS91574 Mathematics and statistics 3.2 Apply linear programming methods in solving problems – 3 credits; Internal
  • AS91575 Mathematics and statistics 3.3 Apply trigonometric methods in solving problems – 4 credits; Internal
  • AS91576 Mathematics and statistics 3.4 Use critical path analysis in solving problems – 2 credits; Internal
  • AS91577 Mathematics and statistics 3.5 Apply the algebra of complex numbers in solving problems – 5 credits; External
  • AS91578 Mathematics and statistics 3.6 Apply differentiation methods in solving problems – 6 credits; External
  • AS91579 Mathematics and statistics 3.7 Apply integration methods in solving problems – 6 credits; External
  • AS91580 Mathematics and statistics 3.8 Investigate time series data – 4 credits; Internal
  • AS91581 Mathematics and statistics 3.9 Investigate bivariate measurement data – 4 credits; Internal
  • AS91582 Mathematics and statistics 3.10 Use statistical methods to make a formal inference – 4 credits; Internal
  • AS91583 Mathematics and statistics 3.11 Conduct an experiment to investigate a situation using experimental design principles – 4 credits; Internal
  • AS91584 Mathematics and statistics 3.12 Evaluate statistically based reports – 4 credits; External
  • AS91585 Mathematics and statistics 3.13 Apply probability concepts in solving problems – 4 credits; External
  • AS91586 Mathematics and statistics 3.14 Apply probability distributions in solving problems – 4 credits; External
  • AS91587 Mathematics and statistics 3.15 Apply systems of simultaneous equations in solving problems – 3 credits; Internal

Level 3 Achievement standards with achievement objectives

Mathematics

AS91573 Mathematics and statistics 3.1 Apply the geometry of conic sections in solving problems:

  • Apply the geometry of conic sections.

AS91574 Mathematics and statistics 3.2 Apply linear programming methods in solving problems:

  • Use linear programming techniques.

AS91575 Mathematics and statistics 3.3 Apply trigonometric methods in solving problems:

  • Manipulate trigonometric expressions.
  • Form and use trigonometric equations. 

AS91576 Mathematics and statistics 3.4 Use critical path analysis in solving problems:

  • Develop network diagrams to find optimal solutions, including critical paths.

AS91577 Mathematics and statistics 3.5 Apply the algebra of complex numbers in solving problems:

  • Manipulate complex numbers and present them graphically.
  • Form and use polynomial, and other non-linear equations.

AS91578 Mathematics and statistics 3.6 Apply differentiation methods in solving problems:

  • Identify discontinuities and limits of functions.
  • Choose and apply a variety of differentiation techniques to functions and relations using analytical methods. 

AS91579 Mathematics and statistics 3.7 Apply integration methods in solving problems:

  • Choose and apply a variety of integration and anti-differentiation techniques to functions and relations using both analytical and numerical methods.
  • Form differential equations and interpret the solutions.

Statistics

AS91580 Mathematics and statistics 3.8 Investigate time series data:

  • Carry out investigations of phenomena, using the statistical enquiry cycle:
    • using existing data sets
    • finding, using, and assessing appropriate models (including additive models for time-series data), seeking explanations, and making predictions
    • using informed contextual knowledge
    • communicating findings and evaluating all stages of the cycle.

AS91581 Mathematics and statistics 3.9 Investigate bivariate measurement data:

  • Carry out investigations of phenomena, using the statistical enquiry cycle:
    • using existing data sets
    • finding, using, and assessing appropriate models (including linear regression for bivariate data), seeking explanations, and making predictions
    • using informed contextual knowledge and statistical inference
    • communicating findings and evaluating all stages of the cycle. 

AS91582 Mathematics and statistics 3.10 Use statistical methods to make a formal inference:

  • Carry out investigations of phenomena, using the statistical enquiry cycle:
    • using existing data sets
    • seeking explanations
    • using informed contextual knowledge, exploratory data analysis, and statistical inference
    • communicating findings and evaluating all stages of the cycle.
  • Make inferences from surveys and experiments:
    • determining estimates and confidence intervals for differences
    • use methods such as resampling to assess the strength of the evidence.

AS91583 Mathematics and statistics 3.11 Conduct an experiment to investigate a situation using experimental design principles:

  • Carry out investigations of phenomena, using the statistical enquiry cycle:
    • conducting experiments using experimental design principles
    • seeking explanations
    • using informed contextual knowledge, exploratory data analysis, and statistical inference
    • communicating findings and evaluating all stages of the cycle.
  • Make inferences from surveys and experiments:
    • using methods such as randomisation to assess the strength of the evidence. 

AS91584 Mathematics and statistics 3.12 Evaluate statistically based reports:

  • Evaluate a wide range of statistically based reports, including surveys and polls, experiments, and observational studies:
    • critiquing causal-relationship claims
    • interpreting margins of error.

AS91585 Mathematics and statistics 3.13 Apply probability concepts in solving problems:

  • Investigate situations that involve elements of chance:
    • calculating probabilities of independent, combined, and conditional events. 

AS91586 Mathematics and statistics 3.14 Apply probability distributions in solving problems:

  • Investigate situations that involve elements of chance:
    • calculating and interpreting expected values and standard deviations of discrete random variables
    • applying distributions such as the Poisson, binomial, and normal.

AS91587 Mathematics and statistics 3.15 Apply systems of simultaneous equations in solving problems:

  • Form and use systems of simultaneous equations, including three linear equations and three variables, and interpret the solutions in context.

Last updated September 14, 2018



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