Mathematics / Year 4 / Measurement and Geometry / Shape

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Curriculum content descriptions

Compare the areas of regular and irregular shapes by informal means (ACMMG087)

Elaborations
  • comparing areas using metric units, such as counting the number of square centimetres required to cover two areas by overlaying the areas with a grid of centimetre squares
General capabilities
  • Numeracy Numeracy
ScOT terms

Area,  Irregular polygons

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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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Finding the area of compound shapes

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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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Area and perimeter video

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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.

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Inquiry Prompt Ribbon Bow - Calculate

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This open-ended task challenges students to carry out a mathematical investigation using a ribbon-bow as a stimulus. They are encouraged to develop their own research questions and investigate possible solutions using using mathematical problem solving and modelling strategies.

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For the Juniors: Drawing a floor plan

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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.

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What is a fractal?

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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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MathXplosion, Ep 4: Tessellation tricks

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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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MathXplosion, Ep 45: How to make an origami frog

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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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Interactive

Area explorer

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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 ...

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Moon Goats (Geometric reasoning) - ABC Education

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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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Mixed Up Maths, Ep 13: Shapes glorious shapes

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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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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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