# Government Standards

## Australian Curriculum

Assessment Exam - Australian Curriculum - Level 7 Mathematics
Number and Algebra eTAP Lesson
Number and place value
Establish the formulas for areas of rectangles, triangles and parallelograms, and use these in problem-solving
ACMNA149
Triangle Areas
Investigate and use square roots of perfect square numbers
ACMNA150
Apply the associative, commutative and distributive laws to aid mental and written computation
ACMNA151
Commutative and Associative Property
Compare, order, add and subtract integers
ACMNA280
Combining Terms Simplified
Real numbers
Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line
ACMNA152

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

Subtraction of Fractions
Multiply and divide fractions and decimals using efficient written strategies and digital technologies
ACMNA154
Multiplication of Fractions

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

Round decimals to a specified number of decimal places
ACMNA156
Round Decimals
Connect fractions, decimals and percentages and carry out simple conversions
ACMNA157
Percent, Decimals & Fractions
Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies.
ACMNA158

Recognise and solve problems involving simple ratio
ACMNA173
Ratio Concept & Language
Money and financial mathematics
Investigate and calculate 'best buys', with and without digital technologies
ACMNA174
Different Payment Methods
Patterns and algebra
Introduce the concept of variables as a way of representing numbers using letters
ACMNA175
Numerical and Literal Numbers
Create algebraic expressions and evaluate them by substituting a given value for each
ACMNA176
Expressing More Relationships Between Numbers
Extend and apply the laws and properties of arithmetic to algebraic terms and expressions
ACMNA177

Linear and non-linear relationships
Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point
ACMNA178
Coordinate Axes and Negative Numbers
Solve simple linear equations
ACMNA179
Solve Single Variable Equations
Investigate, interpret and analyse graphs from authentic data
ACMNA180
Visually Representing Numerical Data
Measurement and Geometry eTAP Lesson
Using units of measurement
Establish the formulas for areas of rectangles, triangles and parallelograms, and use these in problem-solving
ACMMG159
Areas of Rectangles and Parallelograms

Triangle Areas
Calculate volumes of rectangular prisms
ACMMG160
Rectangular Prism Volume
Shape
Draw different views of prisms and solids formed from combinations of prisms
ACMMG161
Rectangular Prism Volume
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
Tessellations Using Translations, Rotations, and Glide Reflections
Geometric reasoning
Classify triangles according to their side and angle properties and describe quadrilaterals
ACMMG165
Recognizing Figures
Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral
ACMMG166
Lines and Angles
Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal
ACMMG163

Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning
ACMMG164
Parallelism
Statistics and Probability eTAP Lesson
Chance
Construct sample spaces for single-step experiments with equally likely outcomes
ACMSP167
Variability
Assign probabilities to the outcomes of events and determine probabilities for events
ACMSP168
Distribution
Data representation and interpretation
Identify and investigate issues involving numerical data collected from primary and secondary sources
ACMSP169

Construct and compare a range of data displays including stem-and-leaf plots and dot plots
ACMSP170
Probability Data Plots
Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data
ACMSP171
Distribution Centers and Variation
Describe and interpret data displays using median, mean and range
ACMSP172
Data Calculations