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ACMMM132

calculate the area under a curve

ACMEM023

convert between metric units of area and other area units

ACMEM097

use addition of the area of the faces of solids to find the surface area of irregular solids.

ACMEM094

find the area of irregular figures by decomposition into regular shapes

ACMMM134

calculate the area between curves in simple cases

ACMMM031

establish and use the sine and cosine rules and the formula \(Area=\frac12bc\sin A\) for the area of a triangle.

ACMEM092

review metric units of area, their abbreviations, and conversions between them

ACMEM096

find the surface area of pyramids, such as rectangular- and triangular-based pyramids

ACMSM059

examine the relationship between the determinant and the effect of a linear transformation on area

ACSPH109

Magnetic flux is defined in terms of magnetic flux density and area

ACMGM035

determine the area of a triangle given two sides and an included angle by using the rule \(Area=\frac12ab\sin C\), or given three sides by using Heron’s rule, and solve related practical problems

ACMMM124

examine the area problem, and use sums of the form \(\sum\nolimits_if\left(x_i\right)\;\delta x_i\) as area under the curve \(y=f(x)\)

ACMEM021

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

ACMEM095

find the surface area of familiar solids, including cubes, rectangular and triangular prisms, spheres and cylinders

ACMMM129

understand the concept of the signed area function \(F\left(x\right)=\int_a^xf\left(t\right)dt\)

Factors that affect exchange of materials across membranes include the surface-area-to-volume ratio of the cell, concentration gradients, and the physical and chemical nature of the materials being exchanged

ACSCH070

Collision theory can be used to explain and predict the effect of concentration, temperature, pressure and surface area on the rate of chemical reactions by considering the structure of the reactants and the energy of particles

ACHGE087

an evaluation of alternative approaches to the restoration and rehabilitation of the area being studied using the concept of sustainability to determine which approach has the potential to address the issue into the future.

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.

ACMMM125

interpret the definite integral \(\int_a^bf\left(x\right)dx\;\) as area under the curve \(y=f\left(x\right)\) if \(f\left(x\right)>0\;\)

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