Achievement standards with achievement objectives – Level 2
Level 2 Achievement standards
- AS91256 Mathematics and statistics 2.1 Apply co-ordinate geometry methods in solving problems – 2 credits; Internal
- AS91257 Mathematics and statistics 2.2 Apply graphical methods in solving problems – 4 credits; Internal
- AS91258 Mathematics and statistics 2.3 Apply sequences and series in solving problems – 2 credits; Internal
- AS91259 Mathematics and statistics 2.4 Apply trigonometric relationships in solving problems – 3 credits; Internal
- AS91260 Mathematics and statistics 2.5 Apply network methods in solving problems – 2 credits; Internal
- AS91261 Mathematics and statistics 2.6 Apply algebraic methods in solving problems – 4 credits; External
- AS91262 Mathematics and statistics 2.7 Apply calculus methods in solving problems – 5 credits; External
- AS91263 Mathematics and statistics 2.8 Design a questionnaire – 3 credits; Internal
- AS91264 Mathematics and statistics 2.9 Use statistical methods to make an inference – 4 credits; Internal
- AS91265 Mathematics and statistics 2.10 Conduct an experiment to investigate a situation using statistical methods – 3 credits; Internal
- AS91266 Mathematics and statistics 2.11 Evaluate a statistically based report – 2 credits; Internal
- AS91267 Mathematics and statistics 2.12 Apply probability methods in solving problems – 4 credits; External
- AS91268 Mathematics and statistics 2.13 Investigate a situation involving elements of chance using a simulation – 2 credits; Internal
- AS91269 Mathematics and statistics 2.14 Apply systems of equations in solving problems – 2 credits; Internal
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Level 2 Achievement standards with achievement objectives
Mathematics
AS91256 Mathematics and statistics 2.1 Apply co-ordinate geometry methods in solving problems:
- Apply co-ordinate geometry techniques to points and lines.
AS91257 Mathematics and statistics 2.2 Apply graphical methods in solving problems:
- Display the graphs of linear and non-linear functions and connect the structure of the functions with their graphs.
- Form and use linear, quadratic, and simple trigonometric equations.
AS91258 Mathematics and statistics 2.3 Apply sequences and series in solving problems:
- Use arithmetic and geometric sequences and series.
AS91259 Mathematics and statistics 2.4 Apply trigonometric relationships in solving problems:
- Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions.
AS91260 Mathematics and statistics 2.5 Apply network methods in solving problems:
- Choose appropriate networks to find optimal solutions.
AS91261 Mathematics and statistics 2.6 Apply algebraic methods in solving problems:
- Manipulate rational, exponential, and logarithmic algebraic expressions.
- Form and use linear and quadratic equations.
AS91262 Mathematics and statistics 2.7 Apply calculus methods in solving problems:
- Sketch the graphs of functions and their gradient functions and describe the relationship between these graphs.
- Apply differentiation and anti-differentiation techniques to polynomials in the mathematics strand of the mathematics and statistics learning area.
AS91269 Mathematics and statistics 2.14 Apply systems of equations in solving problems:
- Form and use linear and quadratic equations.
- Form and use pairs of simultaneous equations, one of which may be non-linear.
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Statistics
AS91263 Mathematics and statistics 2.8 Design a questionnaire:
- Carry out investigations of phenomena, using the statistical enquiry cycle:
- conducting surveys
- evaluating the choice of measures for variables and data collection methods used
- using relevant contextual knowledge.
AS91264 Mathematics and statistics 2.9 Use statistical methods to make an inference:
- Carry out investigations of phenomena, using the statistical enquiry cycle:
- using existing data sets
- evaluating the choice of sampling and data collection methods used
- using relevant contextual knowledge, exploratory data analysis, and statistical inference.
- Make inferences from surveys:
- using sample statistics to make point estimates of population parameters
- recognising the effect of sample size on the variability of an estimate.
AS91265 Mathematics and statistics 2.10 Conduct an experiment to investigate a situation using statistical methods:
- Carry out investigations of phenomena, using the statistical enquiry cycle:
- conducting experiments
- evaluating the choice of measures for variables and data collection methods used
- using relevant contextual knowledge, exploratory data analysis, and statistical inference.
AS91266 Mathematics and statistics 2.11 Evaluate a statistically based report:
- Evaluate statistically based reports:
- identifying sampling and possible non-sampling errors in surveys, including polls.
AS91267 Mathematics and statistics 2.12 Apply probability methods in solving problems:
- Evaluate statistically based reports:
- interpreting risk and relative risk.
- Investigate situations that involve elements of chance:
- comparing theoretical continuous distributions, such as the normal distribution, with experimental distributions
- calculating probabilities, using such tools such as two-way tables, tree diagrams.
AS91268 Mathematics and statistics 2.13 Investigate a situation involving elements of chance using a simulation:
- Investigate situations that involve elements of chance:
- calculating probabilities using such tools as simulations and technology.
Last updated September 14, 2018
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