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Teacher guide reSolve: Algebra: Think of a number- Binomial Equations

TLF ID M021842

This lesson engages students in investigating a 'think of a number' game and then model it visually and algebraically. This develops skills in algebraic operations including expanding, factorising and collecting like terms. Students investigate whether the game will work for any number and are challenged to generate the expressions algebraically. The lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources such as links to algebra tree web sites. This sequence is part of the reSolve: Maths by Inquiry program.




Educational details

Educational value
  • This resource is valuable for supporting the Number and algebra strand of year 9 and 10 mathematics. It is of particular value to the content descriptions about expanding, factorising and simplifying algebraic expressions, as students manipulate binomial expressions to generalise 'think of a number' tricks.
  • The resource is also valuable for supporting the general capabilities of Numeracy and Information and Communication Technologies. The lessons provide opportunities for students to solve complex problems by estimating and calculating using efficient mental, written and digital strategies and use digital models to generate data and information that supports the development of new understandings.
Year level

9; 10

Learning area
  • Mathematics

Other details

Contributors
  • 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
Rights
  • © 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.