Government Standards



Australian Curriculum

Math - Grade 10

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 Pythagoras’ 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