Number and Algebra
Real numbers
Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems (ACMNA208 – Scootle )
Apply index laws to numerical expressions with integer indices (ACMNA209 – Scootle )
Express numbers in scientific notation (ACMNA210 – Scootle )
Money and financial mathematics
Solve problems involving simple interest (ACMNA211 – Scootle )
Patterns and algebra
Extend and apply the index laws to variables, using positive integer indices and the zero index (ACMNA212 – Scootle )
Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate (ACMNA213 – Scootle )
Linear and non-linear relationships
Find the distance between two points located on the Cartesian plane using a range of strategies, including graphing software (ACMNA214 – Scootle )
Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software (ACMNA294 – Scootle )
Sketch linear graphs using the coordinates of two points and solve linear equations (ACMNA215 – Scootle )
Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations (ACMNA296 – Scootle )
Measurement and Geometry
Using units of measurement
Calculate areas of composite shapes (ACMMG216 – Scootle )
Calculate the surface area and volume of cylinders and solve related problems (ACMMG217 – Scootle )
Solve problems involving the surface area and volume of right prisms (ACMMG218 – Scootle )
Investigate very small and very large time scales and intervals (ACMMG219 – Scootle )
Geometric reasoning
Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar (ACMMG220 – Scootle )
Solve problems using ratio and scale factors in similar figures (ACMMG221 – Scootle )
Pythagoras and trigonometry
Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles (ACMMG222 – Scootle )
Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles (ACMMG223 – Scootle )
Apply trigonometry to solve right-angled triangle problems (ACMMG224 – Scootle )
Statistics and Probability
Chance
List all outcomes for two-step chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for events (ACMSP225 – Scootle )
Calculate relative frequencies from given or collected data to estimate probabilities of events involving ‘and’ or ‘or’ (ACMSP226 – Scootle )
Investigate reports of surveys in digital media and elsewhere for information on how data were obtained to estimate population means and medians (ACMSP227 – Scootle )
Data representation and interpretation
Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly and from secondary sources (ACMSP228 – Scootle )
Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’ (ACMSP282 – Scootle )
Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread (ACMSP283 – Scootle )