##### Number and Algebra

##### Number and place value

**ACMNA182**– Use index notation with numbers to establish the index laws with positive integral indices and the zero index**ACMNA183**– Carry out the four operations with integers, using efficient mental and written strategies and appropriate digital technologies

##### Real numbers

**ACMNA184**– Investigate terminating and recurring decimals**ACMNA186**– Investigate the concept of irrational numbers, including Pi**ACMNA187**– Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies**ACMNA188**– Solve a range of problems involving rates and ratios, with and without digital technologies

##### Money and financial mathematics

**ACMNA189**– Solve problems involving profit and loss, with and without digital technologies

##### Patterns and algebra

**ACMNA190**– Extend and apply the distributive law to the expansion of algebraic expressions**ACMNA191**– Factorise algebraic expressions by identifying numerical factors**ACMNA192**– Simplify algebraic expressions involving the four operations

##### Linear and non-linear relationships

**ACMNA193**– Plot linear relationships on the Cartesian plane with and without the use of digital technologies**ACMNA194**– Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution

##### Measurement and Geometry

##### Using units of measurement

**ACMMG195**– Choose appropriate units of measurement for area and volume and convert from one unit to another**ACMMG196**– Find perimeters and areas of parallelograms, rhombuses and kites**ACMMG197**– Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and area**ACMMG198**– Develop the formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume**ACMMG199**– Solve problems involving duration, including using 12- and 24-hour time within a single time zone

##### Geometric reasoning

**ACMMG200**– Define congruence of plane shapes using transformations**ACMMG201**– Develop the conditions for congruence of triangles**ACMMG202**– Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning

##### Statistics and Probability

##### Chance

**ACMSP204**– Identify complementary events and use the sum of probabilities to solve problems**ACMSP205**– Describe events using language of 'at least', exclusive 'or' (A or B but not both), inclusive 'or' (A or B or both) and 'and'.**ACMSP292**– Represent such events in two-way tables and Venn diagrams and solve related problems

##### Data representation and interpretation

**ACMSP206**– Explore the practicalities and implications of obtaining representative data using a variety of investigative processes**ACMSP293**– Explore the variation of means and proportions in representative data**ACMSP207**– Investigate the effect of individual data values , including outliers, on the mean and median