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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

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