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 nonlinear 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 
Simple Quadratic Functions 
Solve linear equations involving simple algebraic fractions
ACMNA240 
Linear Parametric equations 
Solve simple quadratic equations using a range of strategies
ACMNA241 
Factoring Quadratics 
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 rightangled 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 threestep 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 