Teacher guide reSolve: Real World Algebra: Linear Functions

TLF ID M021854

This sequence of two lessons explores real world, algebraic, numeric and graphical representations of linear functions, focussing on the gradient of linear functions. Students use images of everyday objects and inscribe straight lines, then use Geogebra to explore the algebraic representation of their lines. Each lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources. This sequence is part of the reSolve: Maths by Inquiry special topic 'Bringing the Real World into Algebra'.

Educational details

Educational value
  • This resource is valuable for the year 9 mathematics content descriptions about determining linear rules from suitable diagrams, tables of values and graphs. Students manipulate visual, tabular and graphical representations to build conceptual links between various representations of linear functions.
  • The resource is also of value for supporting the Information and Communication Technology general capability as students use simulations and digital models to generate data and information to support their understanding of geometry in everyday contexts.
  • The resource is also valuable for supporting the Numeracy general capability. The lesson provides extended opportunities for students to identify and describe pattern rules and relationships.
Year level


Other details

  • Contributor
  • Name: Education Services Australia
  • Organization: Education Services Australia
  • Description: Data manager
  • Address: VIC, AUSTRALIA
  • URL: http://www.esa.edu.au/
  • Copyright Holder
  • Name: Australian Government Department of Education and Training
  • Organization: Australian Government Department of Education and Training
  • Publisher
  • Name: Australian Academy of Science
  • Organization: Australian Academy of Science
  • Description: Publisher
  • URL: https://www.science.org.au/
  • Resource metadata contributed by
  • Name: Education Services Australia Ltd
  • Organisation: Education Services Australia Ltd
  • Address: AUSTRALIA
  • URL: www.esa.edu.au
Access profile
  • Unknown
Learning Resource Type
  • Online
  • © Australian Government Department of Education and Training 2018. Unless otherwise indicated, this material may be used in accordance with the Creative Commons Attribution 4.0 International (CC BY 4.0) licence.