Mathematics / Year 4 / Measurement and Geometry / Shape

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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Year level 3-4
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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 ...

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, ...

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 ...

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 ...

Geoboard

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 ...

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, ...

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.

Introduction to polygons

Try this tutorial to test your knowledge of polygons (straight-sided shapes).

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.

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.

The multiplier: generate easy multiplications

Solve multiplications such as 9x88. Use a partitioning tool to help solve randomly generated multiplications. Learn strategies to do complex arithmetic in your head. Split a multiplication into parts that are easy to work with, use simple times tables, then solve the original calculation. This learning object is one in ...

The divider: without remainders

Solve whole number division problems such as 156/6. Use a partitioning tool to help solve randomly generated division problems. Learn strategies to do complex arithmetic in your head. Split a division problem into parts that are easy to work with. This learning object is one in a series of four objects.

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 ...

The multiplier: make your own easy multiplications

Solve multiplications such as 76x9. Use a partitioning tool to help solve your own multiplications. Learn strategies to do complex arithmetic in your head. Split a multiplication into parts that are easy to work with, use simple times tables, then solve the original calculation. This learning object is one in a series of ...

Sites2See – measurement for primary

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

See how to calculate the area of a rectangle. Use the method of calculating area to work out how much carpet is needed for two rooms of a house. Find out how to convert the units of length to end up with an area measured in metres squared.

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 ...

Starting Smart: how are measurement units used?

This curriculum resource package is a ten-week primary years teaching plan and set of supporting resources to progress students' understanding of measuring using informal units to make accurate measurements expressed as formal units. Students estimate and measure a variety of attributes including length, area, volume, mass ...

Pattern shapes, by the Math Learning Centre - iTunes app

Use this open exploration tool to explore patterns in geometry, fractions, area and perimeter by creating your own shapes or filling in shapes. Use the text tool to annotate your representations. Great for work on fractions, symmetry and area. Free when reviewed on 12/5/2015.

Starting Smart: how can I improve the accuracy of estimation?

This curriculum resource package is a ten-week teaching plan and set of supporting resources for the primary years, focusing on reviewing students' knowledge and skills in measuring and estimating quantities and ordering numbers. Activities assist students to develop their knowledge of standard measurement units and to ...