Number and Algebra | eTAP Lesson |
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Real numbers | |
Define rational and irrational numbers and perform operations with surds and fractional indices
ACMNA264 |
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Use the definition of a logarithm to establish and apply the laws of logarithms
ACMNA265 |
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Patterns and algebra | |
Investigate the concept of a polynomial and apply the factor and remainder theorems to solve problems
ACMNA266 |
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Linear and non-linear relationships | |
Solve simple exponential equations
ACMNA270 |
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Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations
ACMNA267 |
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Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation
ACMNA268 |
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Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts
ACMNA269 |
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Measurement and Geometry | eTAP Lesson |
Using units of measurement | |
Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids
ACMMG271 |
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Geometric reasoning | |
Prove and apply angle and chord properties of circles
ACMMG272 |
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Pythagoras and trigonometry | |
Establish the sine, cosine and area rules for any triangle and solve related problems
ACMMG273 |
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Use the unit circle to define trigonometric functions, and graph them with and without the use of digital technologies
ACMMG274 |
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Solve simple trigonometric equations
ACMMG275 |
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Apply Pythagoras’ Theorem and trigonometry to solving three-dimensional problems in right-angled triangles
ACMMG276 |
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Statistics and Probability | eTAP Lesson |
Chance | |
Investigate reports of studies in digital media and elsewhere for information on their planning and implementation
ACMSP277 |
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Data representation and interpretation | |
Calculate and interpret the mean and standard deviation of data and use these to compare data sets
ACMSP278 |
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Use information technologies to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship allowing for variation
ACMSP279 |