Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
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.
|Year level(s)||Year 8|
|Teaching strategies and pedagogical approaches||Mathematics investigation|
|Keywords||factors, data collection, place value, distributivity, simplification, explicit teaching|
|Strand and focus||Algebra, Statistics, Build understanding, Apply understanding|
|Topics||Patterns and algebra, Data representation and interpretation|
|AC: Mathematics (V9.0) content descriptions||
Create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties
Investigate techniques for data collection including census, sampling, experiment and observation, and explain the practicalities and implications of obtaining data through these techniques
Number patterns and algebraic thinking (P7)
Interpreting and representing data (P7)
reSolve Maths by Inquiry
© Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0.