Number and Algebra
Number and place value
Use index notation with numbers to establish the index laws with positive integral indices and the zero index (ACMNA182 – Scootle )
Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies (ACMNA183 – Scootle )
Real numbers
Investigate terminating and recurring decimals (ACMNA184 – Scootle )
Investigate the concept of irrational numbers, including π (ACMNA186 – Scootle )
Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies (ACMNA187 – Scootle )
Solve a range of problems involving rates and ratios, with and without digital technologies (ACMNA188 – Scootle )
Money and financial mathematics
Solve problems involving profit and loss, with and without digital technologies (ACMNA189 – Scootle )
Patterns and algebra
Extend and apply the distributive law to the expansion of algebraic expressions (ACMNA190 – Scootle )
Factorise algebraic expressions by identifying numerical factors (ACMNA191 – Scootle )
Simplify algebraic expressions involving the four operations (ACMNA192 – Scootle )
Linear and non-linear relationships
Plot linear relationships on the Cartesian plane with and without the use of digital technologies (ACMNA193 – Scootle )
Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution (ACMNA194 – Scootle )
Measurement and Geometry
Using units of measurement
Choose appropriate units of measurement for area and volume and convert from one unit to another (ACMMG195 – Scootle )
Find perimeters and areas of parallelograms, trapeziums, rhombuses and kites (ACMMG196 – Scootle )
Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and area (ACMMG197 – Scootle )
Develop formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume (ACMMG198 – Scootle )
Solve problems involving duration, including using 12- and 24-hour time within a single time zone (ACMMG199 – Scootle )
Geometric reasoning
Define congruence of plane shapes using transformations (ACMMG200 – Scootle )
Develop the conditions for congruence of triangles (ACMMG201 – Scootle )
Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning (ACMMG202 – Scootle )
Statistics and Probability
Chance
Identify complementary events and use the sum of probabilities to solve problems (ACMSP204 – Scootle )
Describe events using language of ‘at least’, exclusive ‘or’ (A or B but not both), inclusive ‘or’ (A or B or both) and ‘and’. (ACMSP205 – Scootle )
Represent events in two-way tables and Venn diagrams and solve related problems (ACMSP292 – Scootle )
Data representation and interpretation
Investigate techniques for collecting data, including census, sampling and observation (ACMSP284 – Scootle )
Explore the practicalities and implications of obtaining data through sampling using a variety of investigative processes (ACMSP206 – Scootle )
Explore the variation of means and proportions of random samples drawn from the same population (ACMSP293 – Scootle )
Investigate the effect of individual data values, including outliers, on the mean and median (ACMSP207 – Scootle )