Proportional reasoning video Image

Proportional reasoning video

This video uses the scenario of two friends wanting to cater for a large group of people for an upcoming celebration. The recipes used will make a certain quantity or serving size. By scaling the recipes for mini pizzas bases and cake pops, the friends can make the exact number of bases and cake pops needed. This shows that numbers can be scaled either up or down, to suit any serving size.

Access the supporting teaching guide that provides suggestions to follow up video.

Additional details

Year level(s) Year 7, Year 8
Audience Student
Purpose Student task
Format Video
Teaching strategies and pedagogical approaches Worked examples, Concrete Representational Abstract model
Keywords Real world maths

Curriculum alignment

Strand and focus Number
Topics Fractions, Proportion, rates and ratios
AC: Mathematics (V9.0) content descriptions
AC9M7N06
Use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies

AC9M7N08
Recognise, represent and solve problems involving ratios

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

AC9M7M06
Use mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying choices made about the representation

AC9M8M07
Use mathematical modelling to solve practical problems involving ratios and rates, including financial contexts; formulate problems; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

Numeracy progression Additive strategies (P10)
Interpreting fractions (P8)
Multiplicative strategies (P9, P10)
Proportional thinking (P2, P3, P6)
Understanding units of measurement (P8)

Copyright details

Organisation

Education Services Australia

Copyright

© 2023 Commonwealth of Australia, unless otherwise indicated. Creative Commons BY 4.0, unless otherwise indicated.