Practical numbers: Part 1

In this lesson, students are transported to a bustling ancient bazaar before the introduction of standardised measuring systems. They encounter the challenge of a shopkeeper who must determine how to weigh different quantities of spices most efficiently. Working in a financial context, students model this scenario using fractions, percentages and ratios, and communicate their solution in the form of a sign for their stall. This lesson is in two parts and is followed by Practical numbers: Part 2.

Year level(s) Year 7
Audience Teacher
Purpose Teaching resource
Format Web page
Teaching strategies and pedagogical approaches Classroom talks, Questioning, Concrete Representational Abstract model, Mathematics investigation
Keywords Maths Hub lesson plan

Curriculum alignment

Curriculum connections Critical and creative thinking
Strand and focus Number
Topics Proportion, rates and ratios, Transformation, Position and location
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

AC9M7N08
Recognise, represent and solve problems involving ratios

AC9M7N04
Find equivalent representations of rational numbers and represent rational numbers on a number line

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

Numeracy progression Multiplicative strategies (P9)
Interpreting fractions (P8)
Proportional thinking (P2)
Understanding money (P8)