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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 (V9.0) content descriptions	AC9M8A01 Create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties AC9M8ST01 Investigate techniques for data collection including census, sampling, experiment and observation, and explain the practicalities and implications of obtaining data through these techniques
Numeracy progression	Number patterns and algebraic thinking (P7) Interpreting and representing data (P7)
Copyright details
Organisation	reSolve Maths by Inquiry
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