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# Introduction to plane geometry (Years 7 and 8)

This module from the AMSI 'The Improving Mathematics Education in Schools (TIMES) project' is for teachers who wish to consolidate their content knowledge on the topic of two-dimensional geometry. It looks at parallel lines, points, angles and the angle sum of a triangle. There are sections that provide history and context for the topic, as well as exercises and examples of how to present and explain the concepts to students.

Year level(s) Year 7, Year 8
Purpose Content knowledge
Keywords angle, line, point, parallel lines, explicit teaching

## Curriculum alignment

Strand and focus Geometry
Topics Angles and geometric reasoning
AC: Mathematics content descriptions
ACMMG166 Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral
ACMMG164 Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning
ACMMG201 Develop the conditions for congruence of triangles
ACMMG220 Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar
ACMMG202 Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning
National numeracy learning progression Understanding geometric properties - UGP5