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Mathematics / Year 5 / Measurement and Geometry / Using units of measurement

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Calculate perimeter and area of rectangles using familiar metric units (ACMMG109)

Elaborations
  • exploring efficient ways of calculating the perimeters of rectangles such as adding the length and width together and doubling the result
  • exploring efficient ways of finding the areas of rectangles
General capabilities
  • Numeracy Numeracy
ScOT terms

Area,  Length,  Rectangles

Video

Area vs perimeter

Want to know the trick to making a really big fort? Using cushions to build a fort, explore the concept of finding the largest area for a fixed perimeter. Surprisingly, there is no direct relationship between the perimeter of a rectangle and its area.

Video

Working out the areas

Do you know how to work out the area of a square, a rectangle or a triangle? Learn the simple maths formulas needed from this video. What would be the area of a rectangle with a height of 5cm and a length of 3cm?

Video

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.

Video

Area of a square and a triangle

Do you know the formula for working out the area of a square? How about a triangle? Watch this short maths video to learn the formulas for both.

Online

reSolve: Area and Perimeter

This series of three lessons explores the relationship between area and perimeter using the context of bumper cars at an amusement park. Students design a rectangular floor plan with the largest possible area with a given perimeter. They then explore the perimeter of a bumper car ride that has a set floor area and investigate ...

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. ...

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

Interactive

Sites2See – measurement for primary

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

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, ...

Video

Monumental measurement mess ups

Did you know that in Australia we use a metric system for measurement? See if you know the units of measurement for length, mass and volume. Find out what system the United States uses. You guessed it - they don't use the metric system! See how a mix up of these units can cause all kinds of mess ups.

Video

Exploring mysterious shapes

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?

Image

Women stapling ration books, 1943

This is a sepia-toned photograph, taken in April 1943, of young women at the South Australian Government Printing Office using large machines to staple ration books.

Image

Students digging trenches at Ascot State School, Brisbane, 1942

This black-and-white photograph shows schoolchildren digging air-raid trenches in the grounds of Ascot State School in Brisbane, Queensland, on 24 January 1942. Working in the slit trenches, knee deep or deeper, the male students use picks and shovels to dig and remove the earth. A man digging with them on the right is ...

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.

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.

Image

Morning at Passchendaele, 1917

This is a black-and-white composite photograph, taken by Frank Hurley on the morning after the first battle of Passchendaele during the First World War, showing Australian infantry survivors laying out and placing blankets over dead soldiers around a blockhouse near the site of Zonnebeke Railway Station in Belgium on 12 ...

Online

Australia and the First World War - a unit of work

This unit of work for middle and upper secondary students explores the influence of the First World War on the construction of Australian identity. An introductory exploration of the Australian digger myth and legend is followed by five activities framed as investigations. Links are provided to a variety of online resources, ...

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 ...

Image

Cartoon of an Australian wife kissing a US soldier, 1943

This cartoon shows a US soldier romancing the wife of an Australian soldier. A shocked Australian Army private in uniform is depicted peering from behind a curtain at his attractive wife in the arms of a suave-looking US staff sergeant, who is also in uniform. The private holds a photograph album and the uniform hats of ...

Image

Air-raid shelter in Brisbane, 1942

This black-and-white photograph shows two women and two uniformed servicemen in a backyard featuring a homemade air-raid shelter during the Second World War. The two men, Private Dick of the AIF and US soldier Tom Squires, are standing in the shelter with Anthea Dyke while Doreen Smythe is jokingly pointing a hose at them. ...