Mathematics / Year 5 / Measurement

Curriculum content descriptions

solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric units (AC9M5M02)

Elaborations
  • investigating problem situations involving perimeter; for example, “How many metres of fencing are required around a paddock, or around a festival event?”
  • using efficient ways to calculate the perimeters of rectangles, such as adding the length and width together and doubling the result
  • solving measurement problems, such as “How much carpet would be needed to cover the entire floor of the classroom”, using square metre templates to directly measure the floor space
  • creating a model of a permaculture garden, dividing the area up to provide the most efficient use of space for gardens and walkways, labelling the measure of each area, and calculating the amount of resources needed; for example, compost to cover the vegetable garden
  • using a physical or a virtual “geoboard app” to recognise the relationship between area and perimeter and solve problems; for example, investigating what is the largest and what is the smallest area that has the same perimeter
  • exploring the designs of fishing nets and dwellings of First Nations Australians, investigating the perimeter, area and purpose of the shapes within the designs
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Units of measurement,  Area,  Problem solving,  Perimeter

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.

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

For the Juniors: 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

MathXplosion, Ep 39: 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.

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

Sites2See – measurement for primary

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

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

Online

Area and perimeter: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Area and perimeter. Students estimate and measure perimeter in metric units for length and area of quadrilaterals using grid squares and square centimetres. They solve practical problems involving the perimeter and area of regular and irregular shapes.

Downloadable

What is the area?

Use this diagnostic task to assess what students know about area and using the area formula.

Video

Area and perimeter video

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.

Downloadable

Ice cream puddles

Use this diagnostic task to assess understanding of area and comparing the area of two shapes using a relevant approach.

Video

AERO Ochre Maths Year 5 Unit 3 - 2D perimeter and area

This sequence of five lessons teaches students about perimeter and area of shapes, as well as how to calculate them.

Video

MathXplosion, Ep 11: Fun facts about the number seven

Did you know that the digits on opposite faces of dice will always add up to seven? Use dice as fun tools to reinforce fact families of seven, multiples of seven and subtraction skills.

Video

MathXplosion, Ep 3: How many heads tall are you?

What are non-standard measurement units? Did you know we can reliably use objects in the real world, including our own body parts, to measure things? This concept of anthropometry, the ratios of body measurements, was first proposed by Leonardo da Vinci.

Video

MathXplosion, Ep 32: A mean trick

Learn a cool trick using the concept of the mean (or average). Pick any 3 x 3 block of dates on a monthly calendar. The number in the middle square is the mean of the nine numbers that form the 3 x 3 square. If you add all the numbers and divide the total by nine (the number of squares), the answer is the number in the ...

Video

Mixed Up Maths, Ep 4: Late again!

Ever missed an appointment because you misread a timetable? Well it is easily done if you don't know how to read 24 hour time. In this clip, see how to read 24 hour time and find out where it is commonly used. Look at the other time system used -12 hour time. Find out what those letters 'am' and 'pm' really mean! Compare ...

Video

Mixed Up Maths, Ep 12: Super Cyril's circus supplies

Do you know how to draw up a budget? Find out how it's done. In our example our host is throwing a circus party and has $100 to spend. See how he plans to spend the money. Throw in a few discounts of 10% and 50% and look what he can afford. Does he mange to stick to his budget?

Video

What are pixels?

Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

Video

MathXplosion, Ep 1: Magic 9s

Follow these simple calculations to illustrate the special properties of the number 9. Pick your favourite number between 1 and 9 and multiply that number by 3. Add 3 to your answer. Multiply the result by 3. Treat your two-digit answer as two separate numbers and add them together. No matter what number you pick to start ...