Numbers and Algebra | eTAP Lesson |
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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 |
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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 |
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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 |
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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 |