Mathematics / Year 4 / Measurement and Geometry / Shape

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
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)

  • 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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Year level 3-4
Resource type
Learning area Mathematics
Moving Image

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 ...

Teacher resource

reSolve: Authentic Problems: Expanded Square

This sequence of four lessons explores concepts around informal area and symmetry. Students design an 'expanded square' where approximately half the area of the original square is flipped to the outside. The lessons provide opportunities for students to devise and use methods to informally measure area, record their mathematical ...

Moving Image

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!

Teacher resource

reSolve: Geometry: Trapezium Pieces

This lesson explores different shapes that can be formed by cutting a trapezium in two with one straight line. Students are challenged to classify and name the shapes that are made, and justify their classifications based on the definitions and properties of shapes. The lesson is outlined in detail including curriculum ...

Moving Image

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?

Interactive resource

Area counting with Coco

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

Moving Image

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.


Visualising two-dimensional and three-dimensional shapes

This collection comprises 24 digital curriculum resources, including learning objects from the series 'Shape sorter', 'Face painter', 'Geoboard', 'Photo hunt', 'Viewfinder' and 'Shape maker'. There are three categories: exploring two-dimensional shapes; visualising three-dimensional shapes; and making three-dimensional ...

Interactive Resource


An animated tutorial about types of polygons and their line symmetries, followed by an interactive quiz.

Interactive Resource

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 ...

Teacher resource

Using 'Cities taking shape' - Teacher idea

This Teacher idea includes comments following the teaching of R11361 'Cities taking shape - unit of work' to a years 4-5 class. The unit promotes students' knowledge of 2D and 3D shapes, and the relationship between them. It offers interactive and hands-on tasks to develop, consolidate and extend students' understandings ...

Tablet friendly (Interactive resource)

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, ...

Interactive resource

Finding the area of rectangles

Find the area of rectangles on a grid. Explore how the formula works. First, estimate the area of a rectangle on a grid. Second, work out the correct formula for finding area by placing rows and columns of squares inside the rectangle. Then, compare the actual area of the original shape with your first estimate. Practise ...

Interactive Resource


This iPad app is a tool to create line segments, vertices and polygons using coloured bands on a pegboard. There are two board sizes - a standard 25-peg board and a 150-peg board that allows a greater number and diversity of configurations. The bands come in eight colours and the shapes created can be filled with a transparent ...

Teacher resource

Let's compare - teacher resource

This teacher resource describes how students can explore the concept of area using the learning objects L139 'Area counting with Coco', L384 'Finding the area of rectangles' and L383 'Finding the area of compound shapes'. Students then use 'Select a measure tool' and maps in the spatial visualisation tool, SpatialGenie, ...

Interactive Resource

Geoboard, by Numberkiz - iTunes app

Create all sorts of polygons and explore their properties using a virtual geoboard. Fill in shapes with colour. Duplicate shapes, move, flip or rotate them. Snap the grid lines to work out the area of shapes. Import a photo as a background. Free when reviewed on 12/5/2015.


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.

Teacher resource

reSolve: Algebra: Triangle Inequality

This sequence of two lessons explores the triangle inequality theorem. Students are challenged to construct triangles with a given number of matchsticks, explore and record what combinations of sticks can create valid triangles and represent their findings using mathematical expressions. Each lesson is outlined in detail ...

Interactive resource

Shape sorter: modify tool

Examine examples of pairs of shapes. Use the Modify tool to rotate, enlarge, reduce and flip each shape in a pair, to work out its features. This learning object is one in a series of nine objects.