# Government Standards

## Australian Curriculum

Assessment Exam - Australian Curriculum - Level 9 Mathematics
Numbers and Algebra eTAP Lesson
Real numbers
Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems
ACMNA208
Ratios and Proportions

Graphing Systems of Equations
Apply index laws to numerical expressions with integer indices
ACMNA209

Express numbers in scientific notation
ACMNA210
Base Ten Exponents
Money and financial mathematics
Solve problems involving simple interest
ACMNA211
Interest Rate and Loan Length
Patterns and algebra
Extend and apply the index laws to variables, using positive integer indices and the zero index
ACMNA212
Solving Equations by Addition and Subtraction
Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate
ACMNA213
Solving Equations Using Several Operations
Linear and non-linear relationships
Find the distance between two points located on the Cartesian plane using a range of strategies, including graphing software
ACMNA214

Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software
ACMNA294
Midpoint of a Line Segment
Sketch linear graphs using the coordinates of two points and solve linear equations
ACMNA215
Slope Intercept Form of Equations
Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations
ACMNA296
How to Use Graphs

Graphing Systems of Inequalities
Measurement and Geometry eTAP Lesson
Using units of measurement
Calculate areas of composite shapes
ACMMG216
Areas of Rectangles and Parallelograms
Calculate the surface area and volume of cylinders and solve related problems
ACMMG217
Cylinders
Solve problems involving the surface area and volume of right prisms
ACMMG218
Polyhedrons, Prisms and Pyramids
Investigate very small and very large time scales and intervals
ACMMG219

Geometric reasoning
Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar
ACMMG220
Transformations
Solve problems using ratio and scale factors in similar figures
ACMMG221
Properties of Isometrics
Pythagoras and trigonometry
Investigate Pythagoras’ Theorem and its application to solving simple problems involving right angled triangles
ACMMG222
The Theorem of Pythagoras

Special Right Triangles
Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles
ACMMG223
Similar Triangles

Indirect Measurement with Similar Triangles
Apply trigonometry to solve right-angled triangle problems
ACMMG224
Distance Calculations
Statistics and Probability eTAP Lesson
Chance
List all outcomes for two-step chance experiments, both with and without replacement using tree
ACMSP225
Sample Space, Basics of Probability
Calculate relative frequencies from given or collected data to estimate probabilities of events involving 'and' or 'or'
ACMSP226
Position Formula and Finding Median in Frequency Distribution Table
Investigate reports of surveys in digital media and elsewhere for information on how data were obtained to estimate population means and medians
ACMSP227
Frequency Distribution Table, Summation Notation, and Mean Formula
Data representation and interpretation
Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly and from secondary sources
ACMSP228
Information Collection
Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’
ACMSP282
Showing Orderly Data with Histograms
Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread
ACMSP283
Methods of Collecting, Representing, & Displaying Data