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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.

ACMEM174

use technology and a recurrence relation to model a reducing balance loan

ACMEM175

investigate the effect of the interest rate and repayment amount on the time taken to repay a loan.

ACMGM001

review rates and percentages

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

ACMGM003

calculate payments based on government allowances and pensions

ACMGM004

prepare a personal budget for a given income taking into account fixed and discretionary spending

ACMGM005

compare prices and values using the unit cost method

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 …

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 …

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.

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 …

ACMGM010

substitute numerical values into linear algebraic and simple non-linear algebraic expressions, and evaluate

ACMGM011

find the value of the subject of the formula, given the values of the other pronumerals in the formula

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 …

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

ACMGM014

recognise different types of matrices (row, column, square, zero, identity) and determine their size

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

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 …

ACMGM017

review Pythagoras’ Theorem and use it to solve practical problems in two dimensions and for simple applications in three dimensions.

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Cross Curriculum Priorities