A piece of cake
In this lesson, students build on their skills in finding volumes and surface areas of prisms and cylinders to design a multi-level celebration cake for a party. They use mathematical modelling to vary the size and shape of the component cakes and to calculate how much frosting is needed.
Additional details |
|
Year level(s) | Year 10 |
---|---|
Audience | Teacher |
Purpose | Teaching resource |
Format | Web page |
Teaching strategies and pedagogical approaches | Differentiated teaching, Mathematics investigation |
Keywords | prisms, cylinders, surface area, volume, Maths Hub lesson plan |
Curriculum alignment |
|
Curriculum connections | Critical and creative thinking |
Strand and focus | Measurement |
Topics | Area, volume and surface area, Mathematical modelling |
AC: Mathematics (V9.0) content descriptions |
AC9M10M01
Solve problems involving the surface area and volume of composite objects using appropriate units
AC9M10M05
Use mathematical modelling to solve practical problems involving proportion and scaling of objects; formulate problems and interpret solutions in terms of the situation; evaluate and modify models as necessary, and report assumptions, methods and findings |
Numeracy progression |
Understanding geometric properties (P7)
Proportional thinking (P7) |
Copyright details |
|
Organisation | Commonwealth of Australia |
Copyright | © 2024 Commonwealth of Australia. Creative Commons BY 4.0. |
Related resources
-
Surface area and volume
Students work through the problem to design an elephant enclosure. (Note: some of the measurements are given in imperial units and will need to be adjusted.)
Resource details -
Mathematical modelling (Algebra): Year 10 – planning tool
This planning resource for Year 10 is for the topic of Mathematical modelling.
Resource details -
Mathematical modelling (Measurement): Year 10 – planning tool
This planning resource for Year 10 is for the topic of Mathematical modelling.
Resource details -
Capital Airways: Part 1
In this lesson students are introduced to the concept of a network through an airline route map. The task extends into a detailed mathematical modelling activity with students exploring in teams how to re-design the network map to improve the airline’s profitability. This lesson is in two parts and is followed by Capital Airways: Part 2.
Resource details