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Proportional reasoning (10 lessons)

In this sequence of 10 lessons, students analyse and apply proportional reasoning using ratios, rates, rounding and modelling strategies to solve real-world problems.

Additional details
Year level(s)	Year 7
Audience	Teacher
Purpose	Teaching resource
Format	Web page
Teaching strategies and pedagogical approaches	Explicit teaching, Worked examples, Questioning, Mathematics investigation
Keywords	summative assessment, fractions, rounding, estimation, mathehmatical modelling, circles, rates, ratios, proportional reasoning
Curriculum alignment
Curriculum connections	Numeracy
Strand and focus	Number
Topics	Mathematical modelling, Proportion, rates and ratios
AC: Mathematics (V9.0) content descriptions	AC9M7N09 Use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing representations and efficient calculation strategies, using digital tools as appropriate; interpret and communicate solutions in terms of the situation, justifying choices made about the representation AC9M7N05 Round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions AC9M7N08 Recognise, represent and solve problems involving ratios
Numeracy progression	Number and place value (P9) Multiplicative strategies (P9) Interpreting fractions (P8) Proportional thinking (P3)
Copyright details
Organisation	Victoria State Government Department of Education
Copyright	© State Government of Victoria. Creative Commons BY 4.0.