# Government Standards

## Australian Curriculum

Assessment Exam - Australian Curriculum - Level 8 Mathematics
Number and Algebra eTAP Lesson
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
Rational & Irrational Numbers
Real numbers
Investigate terminating and recurring decimals
ACMNA184
Operations with Decimals
Investigate the concept of irrational numbers, including π
ACMNA186
Real Numbers
Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies
ACMNA187
Investment Growth Over Time
Solve a range of problems involving rates and ratios, with and without digital technologies
ACMNA188
Interest Rate and Loan Length
Money and financial mathematics
Solve problems involving profit and loss, with and without digital technologies
ACMNA189
What are Statistics?
Patterns and algebra
Extend and apply the distributive law to the expansion of algebraic expressions
ACMNA190
Factoring Trinomials
Factorise algebraic expressions by identifying numerical factors
ACMNA191

Simplify algebraic expressions involving the four operations
ACMNA192
Simplifying Rational Expressions
Linear and non-linear relationships
Plot linear relationships on the Cartesian plane with and without the use of digital technologies
ACMNA193
Coordinate Axes and Negative Numbers
Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution
ACMNA194
Why Do We Need Two Equations?
Measurement and Geometry eTAP Lesson
Using units of measurement
Choose appropriate units of measurement for area and volume and convert from one unit to another
ACMMG195
Triangle Areas

Rectangular Prism Volume
Find perimeters and areas of parallelograms, trapeziums, rhombuses and kites
ACMMG196
Kites and Trapezoids
Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and area
ACMMG197
Definition - Circles
Develop formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume (ACMMG198 - Scootle )
ACMMG198
Polyhedrons, Prisms and Pyramids
Solve problems involving duration, including using 12- and 24-hour time within a single time zone
ACMMG199

Geometric reasoning
Define congruence of plane shapes using transformations
ACMMG200
Transformations
Develop the conditions for congruence of triangles
ACMMG201
AAS and HL Congruencies
Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning
ACMMG202
SSS and SAS Congruencies
Statistics and Probability eTAP Lesson
Chance
Identify complementary events and use the sum of probabilities to solve problems
ACMSP204
What are Statistics?
Describe events using language of 'at least', exclusive 'or' (A or B but not both), inclusive 'or' (A or B or both) and 'and'.
ACMSP205

Represent events in two-way tables and Venn diagrams and solve related problems
ACMSP292
Showing the Overlap with Venn Diagrams
Data representation and interpretation
Investigate techniques for collecting data, including census, sampling and observation
ACMSP284
Methods of Collecting, Representing, & Displaying Data
Explore the practicalities and implications of obtaining data through sampling using a variety of investigative processes
ACMSP206

Explore the variation of means and proportions of random samples drawn from the same population
ACMSP293
Variability
Investigate the effect of individual data values, including outliers, on the mean and median
ACMSP207
Data Calculations