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Listed under:  Mathematics  >  Geometry  >  Dimensions  >  Area
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reSolve: Circumference

This sequence of three lessons explores the properties of circles, in particular the relationship between the diameter and circumference. In the first lesson, students use a cylinder containing three tennis balls to understand that a circumference is 'three and a bit' times the diameter. They then complete five different ...

Online

Measurement and Geometry- Location and transformation

This is a unit of work that uses farming to explore the measurement and geometry concepts of grid references, directional language, area and length. It has a teacher directed task that introduces directional language and grid references and two student work tasks. The work tasks involve designing a farm using a grid and ...

Interactive

Numeracy wrap: Round the outside

In this resource students will calculate the perimeter of different shapes, choose the appropriate measuring device, make different shapes from given perimeters

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The Mathematical Toolkit

A 2D Shapes tool that can be used to create geometric objects such as quadrilaterals, circles, triangles, lines, arcs, rays, segments and vectors on a coordinate grid. Plot and label the vertices to reveal the internal angles, side lengths, area and perimeter, then manipulate the shapes on a grid to transform their shape ...

Online

MoneySmart: The fun begins: plan, budget, profit!

This is a unit of work integrating aspects of the year 6 mathematics, English, geography, and economics and business curriculums around planning a nature fun park. The unit is intended to take about eight hours. It consists of eight sets of student activities supported by teacher notes, including mapping, holding discussions, ...

Online

Enlargement transformations

This is a website designed for teachers and students in year 5, and addresses components of the enlargement transformations topic in geometry. It is particularly relevant for the concept of enlarging two-dimensional shapes and also contains material on enlarging drawings using grid paper. There are pages for both teachers ...

Online

TIMES Module 11: Measurement and Geometry: area, volume and surface area - teacher guide

This is a 15-page guide for teachers containing explanations of the derivation of formulas for the areas of parallelograms, trapeziums, rhombuses and kites. Formulas for the volumes and surface areas of prisms and cylinders are obtained. Applications of these formulas are given. A history of the development of these concepts ...

Online

Circles

This is a website designed for both teachers and students that refers to the properties of circles including the circumference and area from the Australian Curriculum for year 8 students. It contains material on finding circumferences and areas of circles, and the areas and perimeters of shapes formed from circles and other ...

Interactive

Area of a parallelogram

This is a Geogebra activity used to teach the area of a parallelogram. Suitable for use with an interactive whiteboard (IWB).

Online

TIMES Module 10: Measurement and Geometry: introduction to measurement - teacher guide

This is a 16-page guide for teachers. It provides an introduction to the initial ideas of measurement, and introduces the measurement of length, area, volume and time.

Online

Lengths and areas

This is a website designed for teachers and students in year 5, and addresses components of the length and area topic. It is particularly relevant for selecting appropriate metric units of measurement for length, perimeter and area, and calculation of the area of rectangles. There are pages for both teachers and students. ...

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BBC Bitesize: area and perimeter - revision

These illustrated information sheets revise ideas about perimeter and area of plane shapes including triangles, rectangles, parallelograms, trapeziums and some compound shapes. Examples with answers are included and students have access to test questions to assess their learning. This resource is one of a series of online ...

Online

TIMES Module 17: Measurement and Geometry: the circle - teacher guide

This is a 15-page guide for teachers. In the module the formulas for finding the circumference and area of a circle are introduced. The history and significance of the number pi is also included in this module.

Online

reSolve: Area of a circle

This lesson explores the formula for calculating the area of a circle. Students estimate the area of a circle using inscribed and circumscribed squares, and investigate proofs of the area formula. Each lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, supporting PowerPoint ...

Video

Stateline: Mapping farmland: using area and trigonometry

In northern Queensland's Gulf region, some farmers use GPS mapping to help manage their extensive properties. Use this clip as a context for applying your understanding of area, in particular your understanding of conversion between square kilometres and hectares. Apply trigonometry and Pythagoras' theorem.

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Giant hole: climb through a hole in a sheet of paper

This teaching resource outlines an activity for students to explore the relationship between the area and perimeter of a shape, by using a series of cuts in a piece of paper to create a hole large enough to step through. The resource includes detailed instructions for creating the cuts in the paper, an explanation of how ...

Interactive

The divider: with or without remainders

Solve divisions such as 147/7 or 157/6 (some have remainders). Use a partitioning tool to help solve randomly generated divisions. Learn strategies to do complex arithmetic in your head. Split a division into parts that are easy to work with, use times tables, then solve the original calculation.

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, ...

Interactive

The array: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving simple multiplications in your head such as 6x4. Work through sample questions and instructions explaining how to break up numbers into their factors. Solve multiplications by using arrays to break them up into rows and columns, then ...

Interactive

Playground percentages

Help a town planner to design two site plans for a school. Assign regions on a 10x10 grid for different uses such as a playground, canteen, car park or lawn. Calculate the percentage of the total site used for each region. Use a number line to display fractions and equivalent fractions.