# Government Standards

## Australian Curriculum

Assessment Exam - Australian Curriculum - Level 10 Mathematics
Number and Algebra eTAP Lesson
Money and financial mathematics
Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies
ACMNA229
Interest Rate and Loan Length
Patterns and algebra
Factorise algebraic expressions by taking out a common algebraic factor
ACMNA230
Factors and Greatest Common Factors (GCF)
Simplify algebraic products and quotients using index laws
ACMNA231
Simplifying Rational Expressions
Apply the four operations to simple algebraic fractions with numerical denominators
ACMNA232
Solving Equations Using Several Operations
Expand binomial products and factorise monic quadratic expressions using a variety of strategies
ACMNA233
Factoring Trinomials
Substitute values into formulas to determine an unknown
ACMNA234
Graphing Systems of Inequalities
Linear and non-linear relationships
Solve problems involving linear equations, including those derived from formulas
ACMNA235
Graphing Systems of Equations
Solve linear inequalities and graph their solutions on a number line
ACMNA236

Solve linear simultaneous equations, using algebraic and graphical techniques, including using digital technology
ACMNA237
Simultaneous Equations

Slope Intercept Form of Equations
Solve problems involving parallel and perpendicular lines
ACMNA238
Slope of a Line
Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate
ACMNA239
Solve linear equations involving simple algebraic fractions
ACMNA240
Linear Parametric equations
Solve simple quadratic equations using a range of strategies
ACMNA241
Geometry and Measurement eTAP Lesson
Using units of measurement
Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids
ACMMG242
Cylinders

Polyhedrons, Prisms and Pyramids
Geometric reasoning
Formulate proofs involving congruent triangles and angle properties
ACMMG243
SSS and SAS Congruencies
Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes
ACMMG244
ASA Congruencies

AAS and HL Congruencies
Pythagoras and trigonometry
Solve right-angled triangle problems including those involving direction and angles of elevation and depression
ACMMG245
The Theorem of Pythagoras
Statistics and Probability eTAP Lesson
Chance
Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence
ACMSP246
Probability of Events
Use the language of ‘if ....then, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language
ACMSP247
Conditional Probability
Data representation and interpretation
Determine quartiles and interquartile range
ACMSP248
Boxplot, Interquartile Range, and Midhinge
Construct and interpret box plots and use them to compare data sets
ACMSP249
Probability Data Plots
Compare shapes of box plots to corresponding histograms and dot plots
ACMSP250

Use scatter plots to investigate and comment on relationships between two numerical variables
ACMSP251
Paired Data Sets and Scatterplots
Investigate and describe bivariate numerical data where the independent variable is time
ACMSP252
Correlations
Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data
ACMSP253
Seeking Trends with Line Graphs 