##### Number and Algebra

##### 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

##### Measurement and Geometry

##### 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

##### Statistics and Probability

##### 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