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reSolve: Algebra: Sums and Differences of Squares

This sequence of three lessons explores sums and differences of two squares. Students are introduced to the historical context of using lookup tables for multiplications and challenged to investigate and generalise the underlying process using algebraic means. In subsequent lessons students use visual and algebraic methods that rely on the sums and differences of squares to determine factors and primality and use spreadsheets or coding to trial these methods. Each lesson is outlined in detail including curriculum links, materials needed, discussion points and student resources such as spreadsheets. This sequence is part of the reSolve: Mathematics by Inquiry program.

Additional details

Year level(s) Year 10
Audience Teacher
Purpose Teaching resource
Format Downloadable resources
Teaching strategies and pedagogical approaches Mathematics investigation
Keywords binomials, difference of squares, distributivity

Curriculum alignment

Strand and focus Algebra, Build understanding, Apply understanding
Topics Multiples, factors and powers, Algebraic expressions
AC: Mathematics content descriptions
ACMNA233 Expand binomial products and factorise monic quadratic expressions using a variety of strategies
National numeracy learning progression Number patterns and algebraic thinking

Copyright details

Organisation

reSolve Maths by Inquiry

Copyright

© Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0.