Properties of geometrical figures

Overview

During these lessons, students will develop an understanding of mathematical similarity, identify and use the features of similar figures to solve problems, construct scale drawings, and identify and use the scale factor when a shape is enlarged or reduced. 

Students will:

• use and interpret the terminology of similarity

• identify and use the properties of similar figures to solve problems

• calculate construct scale drawings

• identify and use the scale factor to solve problems.

Outcomes:

• MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts 

• MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context

• MA5.1-11MG describes and applies the properties of similar figures and scale drawings

• MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions

• MA5.2-2WM interprets mathematical or real-life situations, systematically applying appropriate strategies to solve problems

• MA5.2-14MG calculates the angle sum of any polygon and uses minimum conditions to prove triangles are congruent or similar

• MA5.3-1WM uses and interprets formal definitions and generalisations when explaining solutions and/or conjectures 

• MA5.3-2WM generalises mathematical ideas and techniques to analyse and solve problems efficiently

• MA5.3-3WM uses deductive reasoning in presenting arguments and formal proofs

• MA5.3-16MG proves triangles are similar, and uses formal geometric reasoning to establish properties of triangles and quadrilaterals

Students will:

• use and interpret the terminology of congruence and similarity

• identify and use the properties of similar figures to create examples and non-examples

• construct scale drawings.

Outcomes:

• MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts 

• MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context

• MA5.1-11MG describes and applies the properties of similar figures and scale drawings

Students will:

• use and interpret the terminology of similarity

• identify and use the properties of similar figures to solve problems

• construct scale drawings using proportional reasoning.

Outcomes:

• MA5.1-1WM uses appropriate terminology, diagrams and symbols in mathematical contexts 

• MA5.1-3WM provides reasoning to support conclusions that are appropriate to the context

• MA5.1-11MG describes and applies the properties of similar figures and scale drawings

• MA5.2-1WM selects appropriate notations and conventions to communicate mathematical ideas and solutions

• MA5.2-2WM interprets mathematical or real-life situations, systematically applying appropriate strategies to solve problems