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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), …

ACMEM017

use metric units of length, their abbreviations, conversions between them, and appropriate levels of accuracy and choice of units

ACMEM021

use metric units of area, their abbreviations, conversions between them, and appropriate choices of units

ACMEM025

use metric units of mass, their abbreviations, conversions between them, and appropriate choices of units

ACMEM027

use metric units of volume, their abbreviations, conversions between them, and appropriate choices of units

ACMEM075

use rates to determine costs; for example, calculating the cost of a tradesman using rates per hour, call-out fees.

ACMEM083

use scales to find distances, such as on maps; for example, road maps, street maps, bushwalking maps, online maps and cadastral maps

ACMEM093

use formulas to calculate areas of regular shapes, including triangles, squares, rectangles, parallelograms, trapeziums, circles and sectors

ACMEM103

use formulas to find the volume and capacity of regular objects such as cubes, rectangular and triangular prisms and cylinders

ACMEM107

use symbols and conventions for the representation of geometric information; for example, point, line, ray, angle, diagonal, edge, curve, face and vertex.

ACMEM171

use technology to calculate the future value of a compound interest loan or investment and the total interest paid or earned

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.

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

ACMGM017

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

ACMGM024

obtain a scale factor and use it to solve scaling problems involving the calculation of the areas of similar figures

ACMGM025

obtain a scale factor and use it to solve scaling problems involving the calculation of surface areas and volumes of similar solids.

ACMGM034

review the use of the trigonometric ratios to find the length of an unknown side or the size of an unknown angle in a right-angled triangle

ACMGM050

use an appropriately percentaged two-way frequency table to identify patterns that suggest the presence of an association

ACMGM075

use a general first-order linear recurrence relation to generate the terms of a sequence and to display it in both tabular and graphical form

ACMGM091

deseasonalise a time series by using a seasonal index, including the use of spreadsheets to implement this process

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