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reSolve: Algebra: Tens and Units

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: 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, data collection, place value, distributivity, simplification, explicit teaching

Curriculum alignment

Curriculum connections Numeracy
Strand and focus Algebra, Statistics, Build understanding, Apply understanding
Topics Patterns and algebra, Data representation and interpretation
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
ACMSP206 Explore the practicalities and implications of obtaining data through sampling using a variety of investigative processes
National numeracy learning progression Interpreting and representing data - IRD4
Number patterns and algebraic thinking - NPA7, NPA8

Copyright details

Organisation

reSolve Maths by Inquiry

Copyright

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