Algebraic reasoning and algorithmic thinking (8 lessons)

In this sequence of 8 lessons, students link multiplication and division as inverse operations, solve unknowns, apply properties, test divisibility, and use algorithms.

Additional details
Year level(s)	Year 5
Audience	Teacher
Purpose	Teaching resource
Format	Web page
Teaching strategies and pedagogical approaches	Explicit teaching, Questioning, Mathematics investigation, Concrete Representational Abstract model, Worked examples
Keywords	inverse, operations, unknowns, number properties, algorithms, divisibility rules, summative assessment
Curriculum alignment
Curriculum connections	Numeracy
Strand and focus	Number, Algebra
Topics	Computational thinking, Algorithms, Multiples, factors and powers
AC: Mathematics (V9.0) content descriptions	AC9M5N10 Create and use algorithms involving a sequence of steps and decisions and digital tools to experiment with factors, multiples and divisibility; identify, interpret and describe emerging patterns AC9M5N06 Solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers AC9M5N02 Express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another
Numeracy progression	Number patterns and algebraic thinking (P5)
Copyright details
Organisation	Victoria State Government Department of Education
Copyright	© State Government of Victoria. Creative Commons BY 4.0.