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Structure of Mathematical Methods Mathematical Methods

Mathematical Methods is organised into four units. The topics broaden students’ mathematical experience and provide different scenarios for incorporating mathematical arguments and problem solving. The units provide a blending of algebraic and geometric …

Structure of Mathematical Methods | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM132

calculate the area under a curve

ACMMM132 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM134

calculate the area between curves in simple cases

ACMMM134 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM031

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

ACMMM031 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum

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 \(y=f(x)\)

ACMMM124 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM129

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

ACMMM129 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

ACMMM125

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

ACMMM125 | Content Descriptions | Unit 3 | Mathematical Methods | Mathematics | Senior secondary curriculum

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