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)