Mathematics / Year 4 / Measurement and Geometry / Shape

Curriculum content descriptions

Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies  (ACMMG088)

Elaborations
  • identifying common two-dimensional shapes that are part of a composite shape by re-creating it from these shapes
  • creating a two-dimensional shapes from verbal or written instructions
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Irregular polygons,  Polygons

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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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MathXplosion, Ep 4: Tessellation tricks

Learn how two shapes from a repeating tile cause a pattern to undergo a metamorphosis. Create the illusion of one animal slowly transforming into another, line by line. Is it a bird? Is it a fish?

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Fun with fractals

Do you know how to recognise a fractal? Watch this video to find out! What are the examples given of fractals found in nature? Can you think of any others? Why not have a go at doing your own drawing of the Sierpinski Triangle?

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What is a fractal?

Do you know what a fractal is? Basically, fractals are never-ending patterns created by repeated mathematical equations. In this clip, Yuliya, a student at MIT (in the USA) describes the properties of fractals and shows you where they can be found in technology and nature. Have a good look at the world around you and see ...

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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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Understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world Multi-age 3–6 Year B – Unit 12

This 2-week unit unit develops the big idea that understanding relationships between the properties of 2D shapes helps visualise and organise spaces in the world. Students are provided opportunities to: combine and split common shapes; transform two-dimensional and composite figures by reflecting, translating, and rotating; ...

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What needs to be measured determines the unit of measurement Multi-age 3–6 Year B – Unit 9

This 2-week unit unit develops the big idea that what needs to be measured determines the unit of measurement. Students are provided opportunities to: compare and describe features of three-dimensional objects by making and exploring models, sketches and diagrams; construct and draw models from given views; use formal units ...

Interactive

Moon Goats (Geometric reasoning) - ABC Education

As a team, use your understanding of geometric reasoning to transform two-dimensional floor plans into three-dimensional pod houses. See how many unique houses you can build for the Moon Goats. Then, try the Budget Challenge to calculate the cost of different types of houses. Mathematical ideas and strategies this game ...

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Our new playground

This set of learning activities encourages students to consider the function of their existing school playground, how movements like sliding, swinging and spinning feature in playground equipment, and design a new piece of equipment to add to the excitement of their playground. The module includes a comprehensive teacher ...

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Teaching with videogames: Mini Melbourne - Exploring Geometry using Minecraft

In this lesson, students will explore the 'Mini Melbourne 2.0' in Minecraft to identify and locate different 3D shapes in the open world. Students will use this game as a way to explore their own world and discover how shapes, both 2D and 3D, exist in their world in many forms.

Downloadable

First steps in mathematics: Space

This guide supports teachers to develop students’ geometric understandings.

Downloadable

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.

Downloadable

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.

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For the Juniors: Drawing a floor plan

How do we know what a house will look like before it is built? Discover how house plans work by looking at the design of a house that Hugo's family is going to build. See how a floor plan shows the room layout. See drawings of what the house will look like from different views.

Interactive

Sites2See – measurement for primary

Selected links to a range of interactive and print resources for Measurement topics in K-6 Mathematics.

Interactive

Area explorer

This is an interactive resource about calculating the area of a shape presented on a grid. Students are presented with a random figure and are required to calculate its area, in square units. Immediate feedback is provided and the student can make repeated attempts if a question is not answered correctly. The additional ...

Interactive

Finding the area of compound shapes

Find the area of compound shapes based on rectangles on a grid. Explore how the formula works for finding a rectangle's area. First, estimate the area of a compound shape based on rectangles on a grid. Second, work out the correct formula for finding area by placing rows and columns of squares inside two rectangles. Then, ...

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Sizing Them Up

This resource is a web page containing a short task to explore area of irregular shapes by informal means. Arrange irregular shapes in size order smallest to largest. This resource is an activity from the NRICH website.