Operating with numbers (8 lessons)

In this sequence of 8 lessons, students apply proportional reasoning and use the four operations with integers, fractions, decimals, and percentages in real-world contexts.

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, order of operations, real‑world problem‑solving, percentages, decimals, fractions, integer operations, proportional reasoning

Curriculum alignment

Curriculum connections Numeracy
Strand and focus Number
Topics Operating with number, Multiplication and division, Place value
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

AC9M7N06
Use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies

Numeracy progression Additive strategies (P10)
Number and place value (P10)
Interpreting fractions (P8)
Multiplicative strategies (P10)
Proportional thinking (P2)

Copyright details

Organisation

Victoria State Government Department of Education

Copyright

© State Government of Victoria. Creative Commons BY 4.0.