## Mathematics – Australia – Australian Curriculum

• ##### 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

• ##### 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

• ##### 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