reSolve: Algebra: Think of a Number Image

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reSolve: Algebra: Think of a Number

This lesson explores algebra by generalising results from arithmetic used in 'think of a number' games. Students connect arithmetic operations with algebraic notation and visualisations. The lesson begins with an observation made using arithmetic that students then justify and extend using algebra. 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: Mathematics by Inquiry program.

Additional details

Year level(s) Year 8
Audience Teacher
Purpose Teaching resource
Format Downloadable resources
Teaching strategies and pedagogical approaches Mathematics investigation
Keywords factors, distributivity, simplification, maths investigations, think of a number, THOAN, explicit teaching

Curriculum alignment

Curriculum connections Numeracy
Strand and focus Algebra, Apply understanding, Build understanding
Topics Patterns and algebra
AC: Mathematics content descriptions
ACMNA190 Extend and apply the distributive law to the expansion of algebraic expressions
ACMNA191 Factorise algebraic expressions by identifying numerical factors
ACMNA192 Simplify algebraic expressions involving the four operations
National numeracy learning progression Number patterns and algebraic thinking - NPA7

Copyright details

Organisation

reSolve Maths by Inquiry

Copyright

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