Planning tool
Year levels
Strands
Expected level of development
Australian Curriculum Mathematics V9: AC9M5SP01
Numeracy Progression: Understanding geometric properties: P4
At this level, students describe the properties of 2D shapes and use this knowledge to build objects from their nets and, identify objects from their nets.
Students demonstrate understanding of the relationship between 3D objects and their nets. They can use digital technologies and mathematical instruments to make representations of 3D objects.
Teaching and learning summary:
- Represent 2D shapes such as photographs, sketches and images created by digital technologies.
- Identify the shape and relative position of each face of a solid to determine the net of the solid.
- Make and connect models of 3D objects and describe key features.
Students:
- provide a definition of a net
- describe the properties of 2D and 3D shapes
- match 3D objects with their nets
- construct 3D shapes from 2D drawings
- construct 3D shapes using a net.
Some students may:
- find visualisation difficult. They may need to practise with actual objects. It can be difficult for some students to understand that not all parts of the 3D object can be seen.
- may not yet understand the meaning of 2D and 3D. Make explicit that 2D are shapes in one plane and that 3D objects have length and height but also width – hence the three dimensions.
The Learning from home activities are designed to be used flexibly by teachers, parents and carers, as well as the students themselves. They can be used in a number of ways including to consolidate and extend learning done at school or for home schooling.
Learning intention
- We are learning about the relationship between 3D objects and their nets.
- We are learning how to match 3D objects with their nets.
Why are we learning about this?
- Many products come in packaging of different shapes and sizes.
What to do
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Success criteria
I can:
- describe 3D objects
- connect models of 3D objects to their nets
- calculate the volume of various objects.
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Teaching strategies
A collection of evidence-based teaching strategies applicable to this topic. Note we have not included an exhaustive list and acknowledge that some strategies such as differentiation apply to all topics. The selected teaching strategies are suggested as particularly relevant, however you may decide to include other strategies as well.
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Mathematics investigation
By giving students meaningful problems to solve they are engaged and can apply their learning, thereby deepening their understanding.
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Questioning
A culture of questioning should be encouraged and students should be comfortable to ask for clarification when they do not understand.
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Building understanding through effective questioning and modelling
This resource discusses different types of questions and suggests ways for teachers to extend their repertoire of questions.
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Teaching resources
A range of resources to support you to build your student's understanding of these concepts, their skills and procedures. The resources incorporate a variety of teaching strategies.
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Packaging
Students use the features and properties of 3D objects to identify and create nets of objects.
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reSolve: Bifold boxes
This lesson challenges students to use proportional reasoning to explain how changing the size of a square will affect the size of a box folded from that square.
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Nutting out nets
This worksheet guides students to explore nets of prisms and other 3D objects.
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The third dimension
In this task, students draw an arrangement of cubes on isometric paper, which helps them to visualise 3D objects.
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Nets of three-dimensional solids
This resource explores the nets of 3D solids. It includes self-check questions to support learning.
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Building blocks
Students work from 2D representations to 3D shapes using multilink cubes.
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Cut nets
Teacher notes to support a problem where students are challenged to match nets that, when combined, create a 3D object.
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Representing 3D objects in 2D drawings
This unit develops students’ ability to represent 3D objects using 2D representations.
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Shapes with sticks
In this unit, students make and investigate a variety of 3D objects (polyhedra) and record their properties.
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A different view
This is a level 4 geometry activity from the Figure It Out series. It is focused on drawing different views of three-dimensional shapes. A PDF of the student activity is included.
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Cantitowers
This is a level 4 link geometry activity from the Figure It Out series. It is focused on interpreting different views of three-dimensional buildings. A PDF of the student activity is included.
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X-ray vision
This is a level 4 geometry activity from the Figure It Out series. It is focused on drawing different views of three-dimensional shapes. A PDF of the student activity is included.
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Perfect packing
This is a level 5 geometry activity from the Figure It Out series. It is focused on drawing nets for three dimensional shapes. A PDF of the student activity is included.
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Always, Sometimes, Never
Students decide whether statements about common shapes are always, sometimes, or never true.
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Net exploration: cube
Use this video to explore a cube and its net.
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