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Mathematics / Year 7 / Measurement and Geometry / Geometric reasoning

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View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning (ACMMG164)

Elaborations
  • constructing parallel and perpendicular lines using their properties, a pair of compasses and a ruler, and dynamic geometry software
  • defining and identifying the relationships between altenate, corresponding and co-interior angles for a pair of parallel lines cut by a transversal
General capabilities
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Parallel lines

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6 direct matches to ACMMG164 | 3 other related resources

Online

TIMES Module 13: Measurement and Geometry: construction - teacher guide

  • TLF-IDM008821

This is a 30-page guide for teachers that explains the central role of construction and presents examples of constructions.

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Interactive

The geometer's warehouse

  • TLF-IDM016684

This web-based, multimedia resource focuses on the geometry of the Stage 4 and Stage 5 Mathematics syllabus. It comprises 70 dynamic html worksheets, each exploring a different outcome in Stage 4 and Stage 5 geometry.

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Online

Geometric reasoning including parallel lines and angle sum of a triangle

  • TLF-IDM014342

This is a website designed for both teachers and students that addresses geometry from the Australian Curriculum for year 9 students. It contains material on geometry and includes information regarding parallel lines and the angle sum of triangles. There are pages for both teachers and students. The student pages contain ...

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Interactive

Numeracy wrap: Race across transversals

  • TLF-IDM016118

Interactive activities that guide students to explore angles in parallel lines.

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Online

reSolve: Mechanical Linkages: Angles and Lines

  • TLF-IDM021838

This sequence of lessons explores the geometry of angles using real world contexts including the dynamics of folding and joints. Students investigate side lengths and angles, supported by using physical models and computer simulation. There are opportunities to develop geometric language and to highlight how mathematical ...

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Online

Angles and parallel lines: Year 7 – planning tool

  • TLF-IDA003252

This planning resource for Year 7 is for the topic of Angles and parallel lines. Students identify corresponding, alternate and co-interior angles on parallel lines crossed by a transversal (a line that intersects two or more parallel lines).

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Video

The amazing 'angle-a-tron'

  • TLF-IDM017689

Lost your protractor? Well, find out how to make an 'angle-a-tron'. This might just be the coolest mathematical tool you've ever used. Measure all sorts of angles. It's easy with an angle-a-tron!

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Online

Secondary mathematics: different representations

  • TLF-IDS4971

These seven learning activities, which focus on 'representations' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use different representations ...

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Online

TIMES Module 9: Measurement and Geometry: introduction to plane geometry - teacher guide

  • TLF-IDM008822

This is a 16-page guide for teachers. It provides an introduction to the initial ideas of plane geometry. Points and lines are introduced as fundamental objects in the study of geometry. Angles and parallelism are the initial areas of attention in a more formal approach to geometry that occurs from year 7.

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