ACMEM172
use technology to compare, numerically and graphically, the growth of simple interest and compound interest loans and investments
ACMEM172 | Content Descriptions | Unit 4 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMEM173
use technology to investigate the effect of the interest rate and the number of compounding periods on the future value of a loan or investment.
ACMEM173 | Content Descriptions | Unit 4 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMGM046
sketch piece-wise linear graphs and step graphs, using technology when appropriate
ACMGM046 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum
ACMMM019
solve cubic equations using technology, and algebraically in cases where a linear factor is easily obtained.
ACMMM019 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM098
estimate the limit of \(\frac{a^h-1}h\) as \(h\rightarrow0\) using technology, for various values of \(a\;>0\)
ACMMM098 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM170
calculate probabilities and quantiles associated with a given normal distribution using technology, and use these to solve practical problems.
ACMMM170 | Content Descriptions | Unit 4 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMGM015
perform matrix addition, subtraction, multiplication by a scalar, and matrix multiplication, including determining the power of a matrix using technology with matrix arithmetic capabilities when appropriate
ACMGM015 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
Links to Foundation to Year 10 Essential Mathematics
For all content areas of Essential Mathematics, the proficiency strands of Understanding, Fluency, Problem solving and Reasoning from the F–10 curriculum are still very much applicable and should be inherent in students’ learning of the subject. Each …
Links to Foundation to Year 10 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMGM012
use a spreadsheet or an equivalent technology to construct a table of values from a formula, including two-by-two tables for formulas with two variable quantities; for example, a table displaying the body mass index (BMI) of people of different weights …
ACMGM012 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMSM127
use numerical integration using technology \(f\left(t\right)=\lambda e^{-\lambda t}\) for \(t\geq0\) of the exponential random variable with parameter \(\lambda>0,\), and use the exponential random variables and associated probabilities and quantiles …
ACMSM127 | Content Descriptions | Unit 4 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMEM038
interpret information presented in two-way tables
ACMEM038 | Content Descriptions | Unit 1 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMMM009
find the equation of a quadratic given sufficient information
ACMMM009 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM004
find the equation of a straight line given sufficient information; parallel and perpendicular lines
ACMMM004 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMGM016
use matrices, including matrix products and powers of matrices, to model and solve problems; for example, costing or pricing problems, squaring a matrix to determine the number of ways pairs of people in a communication network can communicate with each …
ACMGM016 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMEM037
interpret information presented in graphs, such as conversion graphs, line graphs, step graphs, column graphs and picture graphs
ACMEM037 | Content Descriptions | Unit 1 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMEM107
use symbols and conventions for the representation of geometric information; for example, point, line, ray, angle, diagonal, edge, curve, face and vertex.
ACMEM107 | Content Descriptions | Unit 3 | Essential Mathematics | Mathematics | Senior secondary curriculum
ACMGM013
use matrices for storing and displaying information that can be presented in rows and columns; for example, databases, links in social or road networks
ACMGM013 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMSM105
determine a vector equation of a straight line and straight-line segment, given the position of two points, or equivalent information, in both two and three dimensions
ACMSM105 | Content Descriptions | Unit 3 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACMGM029
with the aid of an appropriate graphical display (chosen from dot plot, stem plot, bar chart or histogram), describe the distribution of a numerical dataset in terms of modality (uni or multimodal), shape (symmetric versus positively or negatively skewed), …
ACMGM029 | Content Descriptions | Unit 2 | General Mathematics | Mathematics | Senior secondary curriculum