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.
Additional details |
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| 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 |
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| 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) Additive strategies (P10) |
Copyright details |
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| Organisation | Commonwealth of Australia |
| Copyright | © 2024 Commonwealth of Australia. Creative Commons BY 4.0. |
Related resources
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Practical numbers: Part 2
In this lesson we use the context of an ancient bazaar to investigate measurement systems. Students select a name and base number for their system of measurement, using weights made from clay or similar material. They divide their clay into possible unit fractions to generate their set of weights. They assign a fictional currency name to the value of their clay. This lesson follows Practical numbers: Part 1.
Resource details