Position and location: Year 7: Planning tool

Expected level of development

Australian Curriculum Mathematics V9: AC9M7SP01

Numeracy Progression: Positioning and locating: P5

At this level, students demonstrate understanding of objects in two dimensions (2D). Students can draw various shapes in different ways, such as drawing informally on blank paper, on grid paper, or in an isometric representation. Discuss the reasons behind the advantages and disadvantages of different representations of the same shapes or different shapes and demonstrate how to draw or represent the different faces of a 3D object or 2D shape.

Students may be supported using dynamic geometric software to make comparisons and mathematically investigate different representations of shapes in two dimensions. Investigate an online mapping platform, such as Google Maps, and ask students to locate their house and consider it from different viewpoints: satellite imagery, street map and street view.

Use real objects to investigate shapes further; for example, ask students to investigate an empty milk carton or cereal box and deconstruct it. Ask questions: can you put it back together again? Is the base sufficient area to make this object stable?

Teaching and learning summary:

Construct objects from different 2D representations.
Recognise and name the net of various prisms and pyramids.
Represent 2D shapes such as photographs, sketches and images created by digital technologies.
Discuss the advantages and disadvantages of different representations of shapes.
Identify the shape and relative position of each face of a solid to determine the net of the solid.
Explore 3D objects from different perspectives.
Draw 3D objects from different perspectives.
Make and connect models of 3D objects and describe key features.

Students:

construct objects from different two-dimensional representations
recognise the net of various prisms and pyramids
identify advantages and disadvantages of different representations of shapes
name different prisms and pyramids
draw three-dimensional objects from different perspectives.

Some students may:

require ample experiences in creating and deconstructing three-dimensional (3D) objects.
not be able to visualise 3D shapes, or hidden faces when observing 2D perspective drawings.
be unable to describe the properties of a shape or solid, and merely point out the obvious features visible to them – namely, the faces, vertices and edges.

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 to create 2D nets from a 3D shape.

Why are we learning about this?

This topic allows you to explore, create and understand the relationship between the 3D world to their 2D representations.

What to do

Makes towers of Lego or other cubes (up to four high) and arrange them on a 5 × 5 grid.
Draw views of the towers from different perspectives (top, left, right, front, back).
From the drawings, try to reproduce the towers on another grid.

Success criteria

I can move between 2D to 3D representations of the same object, and back again.

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Planning tool

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