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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.
|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 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
Number patterns and algebraic thinking - NPA7, NPA8
reSolve Maths by Inquiry
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