## Mathematics – Australia – Australian Curriculum

• ##### Mathematics Standards
• ACMNA149 – Investigate index notation and represent whole numbers as products of powers of prime numbers

• ACMNA150 – Investigate and use square roots of perfect square numbers

• ACMNA151 – Apply the associative, commutative and distributive laws to aid mental and written computation

• ACMNA280 – Compare, order, add and subtract integers

• ##### Real numbers
• ACMNA152 – Compare fractions using equivalence. Locate and represent fractions and mixed numerals on a number line

• ACMNA153 – Solve problems involving addition and subtraction of fractions, including those with unrelated denominators

• ACMNA154 – Multiply and divide fractions and decimals using efficient written strategies and digital technologies

• ACMNA155 – Express one quantity as a fraction of another, with and without the use of digital technologies

• ACMNA156 – Round decimals to a specified number of decimal places

• ACMNA157 – Connect fractions, decimals and percentages and carry out simple conversions

• ACMNA158 – Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.

• ACMNA173 – Recognise and solve problems involving simple ratios

• ##### Money and financial mathematics
• ACMNA174 – Investigate and calculate 'best buys', with and without digital technologies

• ##### Patterns and algebra
• ACMNA175 – Introduce the concept of variables as a way of representing numbers using letters

• ACMNA176 – Create algebraic expressions and evaluate them by substituting a given value for each variable

• ACMNA177 – Extend and apply the laws and properties of arithmetic to algebraic terms and expressions

• ##### Linear and non-linear relationships
• ACMNA178 – Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point

• ACMNA179 – Solve simple linear equations

• ACMNA180 – Investigate, interpret and analyse graphs from authentic data

• ##### Using units of measurement
• ACMMG159 – Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving

• ACMMG160 – Calculate volumes of rectangular prisms

• ##### Shape
• ACMMG161 – Draw different views of prisms and solids formed from combinations of prisms

• ##### Location and transformation
• ACMMG181 – Describe translations, reflections in an axis, and rotations of multiples of 90 degrees on the Cartesian plane using coordinates. Identify line and rotational symmetries

• ##### Geometric reasoning
• ACMMG163 – Identify corresponding, alternate and co-interior angles when two parallel straight lines are crossed by a transversal

• ACMMG164 – Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning

• ACMMG166 – Demonstrate that the angle sum of a triangle is 180 degrees and use this to find the angle sum of a quadrilateral

• ACMMG165 – Classify triangles according to their side and angle properties and describe quadrilaterals

• ##### Chance
• ACMSP167 – Construct sample spaces for single-step experiments with equally likely outcomes

• ACMSP168 – Assign probabilities to the outcomes of events and determine probabilities for events

• ##### Data representation and interpretation
• ACMSP169 – Identify and investigate issues involving continuous or large count data collected from primary and secondary sources

• ACMSP170 – Construct and compare a range of data displays including stem-and-leaf plots and dot plots

• ACMSP171 – Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data

• ACMSP172 – Describe and interpret data displays and the relationship between the median and mean