Teacher guide reSolve: Algebra: Tens and Units

TLF ID M021840

This sequence of lessons aims to develop understanding of algebra as generalised arithmetic. Students learn to express 2- and 3-digit numbers in a general form and use this to explain results of arithmetic operations involving numbers with their digits reversed. The task links the ideas of place value with algebraic reasoning. Each lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources such as spreadsheets and PowerPoint slides. This sequence is part of the reSolve: Maths by Inquiry program.

Educational details

Educational value
  • This resource is valuable for supporting the Patterns and algebra substrand of year 8 mathematics. It relates to the content descriptions about factorising and simplifying algebraic expressions. Students investigate number patterns, generalise the patterns and manipulate the resulting algebraic expressions using factorisation and simplification.
  • This resource is also of some value to the Statistics and Probability strand in year 8, in particular the content description about obtaining data through sampling using a variety of investigative processes.
  • The resource is also valuable for supporting the general capabilities of Numeracy and Information and Communication Technologies. The lessons provide authentic opportunities for students to apply their understanding of patterns and relationships when solving problems in authentic contexts and use ICT to perform calculations, investigate and model concepts 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.