Mathematics / Year 10 / Number and Algebra / Linear and non-linear relationships

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

Solve problems involving parallel and perpendicular lines (ACMNA238)

Elaborations
  • solving problems using the fact that parallel lines have the same gradient and conversely that if two lines have the same gradient then they are parallel
  • solving problems using the fact that the product of the gradients of perpendicular lines is –1 and conversely that if the product of the gradients of two lines is –1 then they are perpendicular
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Parallel lines,  Perpendicular lines

Interactive Resource

Linear equations and inequalities

This resource is a collection of screen displays of questions relating to linear equations and inequations. Graphing tasks involve determining the coordinates of two points on the linear function. Other tasks are presented as multiple-choice questions and involve finding slopes of lines, calculating intercepts with the ...

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Perpendicular lines and linear equations

This digital presentation demonstrates solving a problem about finding the equation of a line perpendicular to a given line and passing through a specific point. The workings and solution are revealed slowly and in sequential steps with explanations provided at some points. The steps can be seen more quickly by selecting ...

Interactive Resource

Laptop wrap: Parallelendicular

Students construct a series of GeoGebra applets that investigate the parameters gradient and intercepts of straight lines. They reinforce this knowledge with Microsoft Math 3.0. 

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Parallel lines and linear equations

This digital presentation demonstrates solving a problem about finding the equation of a line parallel to a given line and passing through a specific point. The workings and solution are revealed slowly and in sequential steps with explanations provided at some points. The steps can be seen more quickly by selecting the ...

Teacher resource

Secondary mathematics: different representations

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 ...

Interactive Resource

Numeracy wrap: Race across transversals

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

Teacher resource

TIMES Module 29: Number and Algebra: introduction to coordinate geometry - teacher guide

This is a 22-page guide for teachers. This module introduces coordinate geometry. The introduction includes finding the distance between two points, finding the coordinates of the midpoint between two points, determining the gradient of a line and determining the equation of a line.

Teacher resource

TIMES Module 26: Measurement and Geometry: circle geometry - teacher guide

This is a 44-page guide for teachers. It contains theorems on chords, arcs, angles and secants associated with circles.