Government Standards

Australian Curriculum

Math - Grade 9

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