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)
Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies (ACMNA183)
Real numbers
Investigate terminating and recurring decimals (ACMNA184)
Investigate the concept of irrational numbers, including π (ACMNA186)
Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies (ACMNA187)
Solve a range of problems involving rates and ratios, with and without digital technologies (ACMNA188)
Money and financial mathematics
Solve problems involving profit and loss, with and without digital technologies (ACMNA189)
Patterns and algebra
Extend and apply the distributive law to the expansion of algebraic expressions (ACMNA190)
Factorise algebraic expressions by identifying numerical factors (ACMNA191)
Simplify algebraic expressions involving the four operations (ACMNA192)
Linear and non-linear relationships
Plot linear relationships on the Cartesian plane with and without the use of digital technologies (ACMNA193)
Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution (ACMNA194)