Mathematics / Year 5 / Measurement and Geometry / Shape

Curriculum content descriptions

Connect three-dimensional objects with their nets and other two-dimensional representations (ACMMG111)

Elaborations
  • identifying the shape and relative position of each face of a solid to determine the net of the solid, including that of prisms and pyramids
  • representing two-dimensional shapes such as photographs, sketches and images created by digital technologies
General capabilities
  • Numeracy Numeracy
ScOT terms

Solids (Geometry),  Translation (Geometry),  Nets (Geometry)

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Throw a Shape - Calculate

In this game, students throw dice to determine the number of edges and vertices of a 3D shape, they then use physical materials to build their shapes. The game gives them an opportunity to practise geometric reasoning, identifying shapes based on their properties and visualising objects in three dimensions.

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Skeleton Shapes

This resource is a web page containing a practical task to model 3-D objects. The task suggests the use of straws and modelling clay or similar material to create a model of firstly a cube and next other 3-D objects. A printable resource is also available to support the task. This resource is an activity from the NRICH website.

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MathXplosion, Ep 45: How to make an origami frog

Origami folds have associated geometric patterns or "paper trails" in which we are able to visualise different types of triangles, angles, polygons, lines and symmetry. Use these patterns to turn a two-dimensional flat sheet of paper into a three-dimensional hopping frog!

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ABC News: Mapping the sea floor

Hydrographers chart the seabed and coastline, giving ships a map to help them avoid running into underwater trouble. Use this clip as a context for exploring the mapping of the sea floor. Think about scale and how to indicate different depths using contour lines.

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Prisms and pyramids - years 5 and 6

This is a website providing four activities to develop students' familiarity with three-dimensional shapes, in particular prisms and pyramids. The resource focuses on assisting students to use geometrical language to describe prisms and pyramids, understand their properties and construct geometrical models. The activities ...

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Mixed Up Maths, Ep 13: Shapes glorious shapes

Did you know that not all pyramids have a square base? Investigate the bases and faces of some pyramids. Travel around the world as we view some famous structures. First stop, we're in search of a building that is a rectangular prism. Find out which world famous building is a pentagonal prism. See what type of 3 dimensional ...

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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. Students fold an origami box from a square of paper and record the dimensions of the resulting box. They then fold a box from a square of paper four times the ...

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Exploring mysterious shapes

Join QuanQuan and Jenny as they explore some weird and wonderful shapes! While watching this clip, think about the sides, edges, surfaces and volumes of the shapes that are demonstrated. How are these shapes different from regular 2D and 3D forms?

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The Third Dimension

This resource is a web page containing a drawing task to explore help visualise 3-D objects. Draw an arrangement of cubes on isometric paper which gives us a way of drawing 3D objects more easily. A link to downloadable isometric paper is also provided. This resource is an activity from the NRICH website.

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First steps in mathematics: Space

This guide supports teachers to develop students’ geometric understandings.

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Investigating Shapes (Year 5 & 6) - Calculate

The focus of this activity is to discover what it is that students know about 2D shapes and 3D objects.

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The Geometry and Algebra of Honeycomb - Calculate

This integrated unit of work explores the amazing structures of honeycomb by examining the properties of regular and irregular polygons and polyhedra. Students then move on to solve problems using geometric and algebraic reasoning.

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Hologram poetry lesson

In this lesson, students are asked to present a poem as a visual illusion. They explore holograms and visual illusions, and then delve into the mechanics of poetry construction by exploring the poetry of Banjo Paterson. They write their own poem or recite a poem and create a hologram illusion of themselves reciting a poem. ...

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Shapes and objects: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Shapes and objects. Students describe the properties of 2D shapes and use this knowledge to build objects from their nets and, identify objects from their nets.

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Geometry: Foundation to Year 9

This comprehensive resource describes the progression of geometric reasoning. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in geometry including teaching and cultural implications.

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First steps in Mathematics: Space – Diagnostic tasks

A collection of diagnostic tasks designed to use with students to assess their understanding of space-related concepts in mathematics.

Downloadable

Packaging

Students explore the features and properties of three-dimensional (3D) objects to identify and create nets of 3D objects.

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Many heads are better than one: 9 colours activity - Calculate

This collaborative task challenges students to assemble 27 small cubes as one large 3 by 3 by 3 cube, with 9 different colours visible on each face. The task develops spatial awareness, particularly when the task is extended beyond creating a large cube.

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Nets, shapes … and donuts!

In this lesson, students learn about industrial engineering and explore designing cardboard packaging nets that can be folded into innovative packages.

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Area and perimeter video

Use this video to connect area and perimeter to real world applications to set the context for why we are learning about area and perimeter.