ACMGM002
calculate weekly or monthly wage from an annual salary, wages from an hourly rate including situations involving overtime and other allowances and earnings based on commission or piecework
ACMGM002 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM003
calculate payments based on government allowances and pensions
ACMGM003 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM004
prepare a personal budget for a given income taking into account fixed and discretionary spending
ACMGM004 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM005
compare prices and values using the unit cost method
ACMGM005 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM006
apply percentage increase or decrease in various contexts; for example, determining the impact of inflation on costs and wages over time, calculating percentage mark-ups and discounts, calculating GST, calculating profit or loss in absolute and percentage …
ACMGM006 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM007
use currency exchange rates to determine the cost in Australian dollars of purchasing a given amount of a foreign currency, such as US$1500, or the value of a given amount of foreign currency when converted to Australian dollars, such as the value of …
ACMGM007 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM008
calculate the dividend paid on a portfolio of shares, given the percentage dividend or dividend paid per share, for each share; and compare share values by calculating a price-to-earnings ratio.
ACMGM008 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM009
use a spreadsheet to display examples of the above computations when multiple or repeated computations are required; for example, preparing a wage-sheet displaying the weekly earnings of workers in a fast food store where hours of employment and hourly …
ACMGM009 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM010
substitute numerical values into linear algebraic and simple non-linear algebraic expressions, and evaluate
ACMGM010 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM011
find the value of the subject of the formula, given the values of the other pronumerals in the formula
ACMGM011 | Content Descriptions | Unit 1 | General 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
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
ACMGM014
recognise different types of matrices (row, column, square, zero, identity) and determine their size
ACMGM014 | Content Descriptions | Unit 1 | General Mathematics | 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
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
ACMGM017
review Pythagoras’ Theorem and use it to solve practical problems in two dimensions and for simple applications in three dimensions.
ACMGM017 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM018
solve practical problems requiring the calculation of perimeters and areas of circles, sectors of circles, triangles, rectangles, parallelograms and composites
ACMGM018 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM019
calculate the volumes of standard three-dimensional objects such as spheres, rectangular prisms, cylinders, cones, pyramids and composites in practical situations; for example, the volume of water contained in a swimming pool
ACMGM019 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM020
calculate the surface areas of standard three-dimensional objects such as spheres, rectangular prisms, cylinders, cones, pyramids and composites in practical situations; for example, the surface area of a cylindrical food container.
ACMGM020 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMGM021
review the conditions for similarity of two-dimensional figures including similar triangles
ACMGM021 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum