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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 ...

Image

Standard yard, Troughton and Simms, c1856

This is a Standard Yard made by Troughton and Simms of London circa 1856. It consists of a bronze bar in a wooden case. The yard is measured between fine lines marked on a gold pin in the well at each end of the bar. It is 113 cm long, 10 cm high and 8 cm wide.

Text

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.

Video

Measuring length informally

How do we measure how big something is? Flynn and Dodley want to see who has the bigger toy bus. Which bus is taller, wider, longer? Flynn models how to measure his bus using sticks so he can make a garage for his 'magic' bus. The Flying girl and others also do some measuring.

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

Measuring our coastline

How long is the Australian coastline? See Dr Derek Muller and Simon Pampena discussing the perimeter of the Australian coastline. Find out how the accuracy of that measurement depends on the length of the 'measuring stick' used. They discuss how a coastline is much like a fractal such as 'Koch's Snowflake'!

Video

Calculating area: locust plagues

How many locusts in a plague? Find out just how big the threat of locusts can be and how farmers try to prevent the plagues from getting out of control. This clip provides context for a combination of area, area units and rate problems.

Video

How many potatoes tall is Elmo?

NFL footballer Drew Bees and Elmo discuss how to measure length. Drew does his best to measure Elmo using a potato, a tube of toothpaste and a football as the units of measure. He also measures Elmo in inches using a ruler. For each unit of measure, find out how tall Elmo is.

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?

Video

Maths inside bees and beehives

Bees are necessary for assisting many plants to produce the food we eat, including meat and milk. Colony collapse disorder, which describes the disappearance of beehives, could have catastrophic effects on food production. Australian scientists are applying their maths and science knowledge to build up a picture of a healthy ...

Online

Measuring familiar things

Explore the attributes of familiar items. Make direct comparisons of these items based on length, mass (heaviness) or capacity (volume, or how much something holds). Use appropriate everyday language to describe the comparisons made. Use uniform informal units to measure items. Tell the time to the hour and half-hour using ...

Online

Bee habitat lesson

This lesson plan introduces students to some of Australia's native bee species. Organised in five stages, the lesson plan includes links to videos, scientific and bee-related websites, an information sheet, and downloadable versions of a pictorial slideshow, lesson plan and an assessment rubric. The resource includes suggestions ...

Interactive

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 ...

Online

reSolve: Measurement - Jump!

In this sequence of two lessons, students investigate how far they can jump and explore the jumping distance of a range of animals. Students first estimate the distance they can jump, then undertake an investigation by jumping using a range of techniques. Class data is recorded and displayed and students compare their jumping ...

Online

reSolve: Authentic Problems: Bottle Flipping

This sequence of four lessons explores fractions and statistical reasoning through conducting a series of fair tests to answer the question 'What fraction of a bottle needs to be filled with water to be the best for bottle flipping?'. The lessons focus on building understanding of fractions and collecting, organising and ...

Online

reSolve: Woolly Worms

This sequence of two lessons engages students in comparing lengths of pieces of wool: 'woolly worms'. Students use direct comparison to order their collection of worms from shortest to longest. They learn to order their collection of worms using a variety of strategies, to record lengths using informal units, to draw worms ...