Stage 5.2
Outcomes

Numbers and Algebra

Algebraic Techniques

MA5.26NA
Simplifies algebraic fractions, and expands and factorises quadratic expressions

MA5.26NA

Equations

MA5.28NA
Solves linear and simple quadratic equations, linear inequalities and linear simultaneous equations, using analytical and graphical techniques
 Substitute values into formulas to determine an unknown (ACMNA234)
 Solve problems involving linear equations, including those derived from formulas (ACMNA235)

Solve linear simultaneous equations, using algebraic and graphical techniques, including with the use of digital technologies (ACMNA237)

Solve linear simultaneous equations by finding the point of intersection of their graphs, with and without the use of digital technologies
Examples

Solve linear simultaneous equations using appropriate algebraic techniques, including with the use of the 'substitution' and 'elimination' methods, eg solve {3a + b = 17; 2a  b = 8}
Examples

Solve linear simultaneous equations by finding the point of intersection of their graphs, with and without the use of digital technologies

MA5.28NA

Linear Relationships

MA5.29NA
Uses the gradientintercept form to interpret and graph linear relationships

MA5.29NA

NonLinear Relationships

MA5.210NA
Connects algebraic and graphical representations of simple nonlinear relationships

MA5.210NA

Algebraic Techniques

Measurement and Geometry

Area and Surface Area

MA5.211MG
Calculates the surface areas of right prisms, cylinders and related composite solids

MA5.211MG

Volume

MA5.212MG
Applies formulas to calculate the volumes of composite solids composed of right prisms and cylinders

MA5.212MG

Properties of Geometrical Figures

MA5.214MG
Calculates the angle sum of any polygon and uses minimum conditions to prove triangles are congruent or similar

Formulate proofs involving congruent triangles and angle properties (ACMMG243)

Write formal proofs of the congruence of triangles, preserving matching order of vertices
Examples

Use the congruence of triangles to prove properties of the special quadrilaterals, such as: CCT
the opposite angles of a parallelogram are equal
the diagonals of a parallelogram bisect each other
the diagonals of a rectangle are equal
Examples

Write formal proofs of the congruence of triangles, preserving matching order of vertices
 Use the enlargement transformations to explain similarity and to develop the conditions for triangles to be similar (ACMMG220)
 Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes (ACMMG244)

Formulate proofs involving congruent triangles and angle properties (ACMMG243)

MA5.214MG

Area and Surface Area

Statistics and Probability

Probability

MA5.217SP
Describes and calculates probabilities in multistep chance experiments

MA5.217SP

Probability