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 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.

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Café Fractions - Calculate

In this task, students take the role of the owner of a cake wholesaler, baking and supplying cakes to local café businesses. As café owners order their weekly cakes by the slice, students are required to add unit fractions together to calculate total cake orders. They then solve problems associated with subtracting fractional ...

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Inquiry Prompt Ribbon Bow - Calculate

This open-ended task challenges students to carry out a mathematical investigation using a ribbon-bow as a stimulus. They are encouraged to develop their own research questions and investigate possible solutions using using mathematical problem solving and modelling strategies.

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Work Unit: Mr Moon’s feathery problem - Calculate

This unit of work provides a rich, contextual activity through which students can explore the applications of measurement (length, area and capacity), to a real problem in an everyday context for Students in Years 5 & 6.

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Reasoning Year 5 - Calculate

The focus of this activity is for students to recognise the relationship between the dimensions of a square or rectangle and the perimeter and area of these shapes. Students will need to use a systematic approach to show that they have found all the possible solutions.

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Nets, shapes … and donuts!

In this lesson, students learn about industrial engineering and explore designing cardboard packaging nets that can be folded into innovative packages.

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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 ...

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.

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.

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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?

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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.

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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

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reSolve: Multiplication: What is a Plocoroo?

In this sequence of two tasks, students use an animal flip book to explore the multiplicative idea of 'for each' by determining the number of possible animal combinations, represented as a Cartesian product. Students explore how many different combinations can be made in a flip book with ten animal heads, ten bodies, and ...

Interactive

My American farm: app for iPad

This iPad app contains a selection of games with an agricultural theme. At the conclusion of the activities, fun farm facts or information are provided (some of these facts can be read aloud by selecting a volume icon). The games encompass a range of things important to farming life including farming equipment, careers ...

Interactive

Kitchen gardens – sustainability action process (Years 3–6)

This resource guides students through an extended school-based or local investigation focussed on kitchen gardens using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate and ...

Interactive

Sustainable transport – sustainability action process (Years 3–6)

This sustainable transport learning resource will guide students through an extended school based investigation. Students will develop and implement a chosen sustainability action and then evaluate and reflect on their success and their learning.

Interactive

Waste and materials – sustainability action process (Years 3–6)

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

Video

MathXplosion, Ep 40: Kaprekar's operation

Did you know that 6,174 is a very mysterious number? In 1949, the mathematician Dr Kaprekar from India devised a process now known as Kaprekar's operation. First, choose a four-digit number where the digits are all different. Then rearrange the digits to get the largest and smallest numbers these digits can make. Finally, ...

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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 ...