#
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

TOP

## 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.

TOP

### 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

TOP