Number and Algebra
Number and place value
Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149 – Scootle )
Investigate and use square roots of perfect square numbers (ACMNA150 – Scootle )
Apply the associative, commutative and distributive laws to aid mental and written computation (ACMNA151 – Scootle )
Compare, order, add and subtract integers (ACMNA280 – Scootle )
Real numbers
Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line (ACMNA152 – Scootle )
Solve problems involving addition and subtraction of fractions, including those with unrelated denominators (ACMNA153 – Scootle )
Multiply and divide fractions and decimals using efficient written strategies and digital technologies (ACMNA154 – Scootle )
Express one quantity as a fraction of another, with and without the use of digital technologies (ACMNA155 – Scootle )
Round decimals to a specified number of decimal places (ACMNA156 – Scootle )
Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157 – Scootle )
Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies. (ACMNA158 – Scootle )
Recognise and solve problems involving simple ratios (ACMNA173 – Scootle )
Money and financial mathematics
Investigate and calculate ‘best buys’, with and without digital technologies (ACMNA174 – Scootle )
Patterns and algebra
Introduce the concept of variables as a way of representing numbers using letters (ACMNA175 – Scootle )
Create algebraic expressions and evaluate them by substituting a given value for each variable (ACMNA176 – Scootle )
Extend and apply the laws and properties of arithmetic to algebraic terms and expressions (ACMNA177 – Scootle )
Linear and non-linear relationships
Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point (ACMNA178 – Scootle )
Solve simple linear equations (ACMNA179 – Scootle )
Investigate, interpret and analyse graphs from authentic data (ACMNA180 – Scootle )
Measurement and Geometry
Using units of measurement
Establish the formulas for areas of rectangles, triangles and parallelograms, and use these in problem-solving (ACMMG159 – Scootle )
Calculate volumes of rectangular prisms (ACMMG160 – Scootle )
Shape
Draw different views of prisms and solids formed from combinations of prisms (ACMMG161 – Scootle )
Location and transformation
Describe translations, reflections in an axis and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries (ACMMG181 – Scootle )
Geometric reasoning
Classify triangles according to their side and angle properties and describe quadrilaterals (ACMMG165 – Scootle )
Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral (ACMMG166 – Scootle )
Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal (ACMMG163 – Scootle )
Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning (ACMMG164 – Scootle )
Statistics and Probability
Chance
Construct sample spaces for single-step experiments with equally likely outcomes (ACMSP167 – Scootle )
Assign probabilities to the outcomes of events and determine probabilities for events (ACMSP168 – Scootle )
Data representation and interpretation
Identify and investigate issues involving numerical data collected from primary and secondary sources (ACMSP169 – Scootle )
Construct and compare a range of data displays including stem-and-leaf plots and dot plots (ACMSP170 – Scootle )
Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data (ACMSP171 – Scootle )
Describe and interpret data displays using median, mean and range (ACMSP172 – Scootle )