# Government Standards

## Australian Curriculum

Assessment Exam - Australian Curriculum - Level 10A Mathematics
Number and Algebra eTAP Lesson
Real numbers
Define rational and irrational numbers and perform operations with surds and fractional indices
ACMNA264

Use the definition of a logarithm to establish and apply the laws of logarithms
ACMNA265

Patterns and algebra
Investigate the concept of a polynomial and apply the factor and remainder theorems to solve problems
ACMNA266

Linear and non-linear relationships
Solve simple exponential equations
ACMNA270

Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations
ACMNA267

Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation
ACMNA268

Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts
ACMNA269

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

Geometric reasoning
Prove and apply angle and chord properties of circles
ACMMG272

Pythagoras and trigonometry
Establish the sine, cosine and area rules for any triangle and solve related problems
ACMMG273

Use the unit circle to define trigonometric functions, and graph them with and without the use of digital technologies
ACMMG274

Solve simple trigonometric equations
ACMMG275

Apply Pythagorasâ€™ Theorem and trigonometry to solving three-dimensional problems in right-angled triangles
ACMMG276

Statistics and Probability eTAP Lesson
Chance
Investigate reports of studies in digital media and elsewhere for information on their planning and implementation
ACMSP277

Data representation and interpretation
Calculate and interpret the mean and standard deviation of data and use these to compare data sets
ACMSP278

Use information technologies to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship allowing for variation
ACMSP279