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 nonlinear 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 nonlinear 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 rightangled triangles
ACMMG223 
Similar Triangles Indirect Measurement with Similar Triangles 
Apply trigonometry to solve rightangled triangle problems
ACMMG224 
Distance Calculations 
Statistics and Probability  eTAP Lesson 
Chance  
List all outcomes for twostep 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 backtoback stemandleaf 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 