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Pour to decide

Use this diagnostic task to assess if students know about capacity and comparing containers based on how much they hold.

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First steps in Mathematics: Space – Diagnostic tasks

A collection of diagnostic tasks designed to use with students to assess their understanding of space-related concepts in mathematics.

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Snail trails

Refer to the diagnostic task for a guide on how to conduct a one-on-one interview where the student is asked to measure length by choosing an informal unit.

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Categorisation

Use this task to assess students’ knowledge and understanding of properties of shapes, and language they use when describing common features.

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Broken ruler

This task can be used to reveal whether students can use markings on a ruler to measure in centimetres and whether they understand how the number on the scale relates to the units.

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Tiling problem

Use this diagnostic task to assess if students use an array structure when working out how many tiles fit in a rectangle.

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Leaf task

Use this diagnostic task to assess understanding of area and measuring the area of an irregular shape.

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The school delivery

Use this task to assess language the student uses to describe position, direction and pathways in familiar environments.

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Make a measuring jug

Use this diagnostic task to assess a student's understanding of capacity and the calibrated scale on a measuring jug.

Video

Additive strategies: Video and teaching guide

This video explores the use of computation strategies, rounding and estimation in real-world, additive situations. Use the video with the supporting teacher guide as a springboard to explore mathematical concepts. A range of strategies such as compensation and partitioning are demonstrated. Estimation and rounding are highlighted ...

Online

Making a large wicking bed

Wicking beds are a fantastic invention, allowing crops to be watered more efficiently. Making a large wicking bed does involve a few steps and some preparation, however the benefits of this extra effort are water conservation, improved plant growth and better crops. The design of the wicking bed also provides opportunities ...

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Multiplication: 2 digit by 2 digit numbers: video and teaching guide

This video explores multiplicative strategies, methods and models to solve a given worded problem. It uses a scenario of a student helping a sibling to explore and discuss methods for solving the problem: ‘How many months has a 25 year old been alive?’ It shows how prior knowledge is required to know what type of calculation ...

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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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Decimal fractions video

Use this video to explore decimal fractions, how they are represented and how we use them in day-to-day contexts.

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BTN: What is an abacus?

An abacus is a tool that helps people solve maths problems. Why might some people still use, and encourage the use of, an abacus when there are more contemporary tools like calculators?

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MathXplosion, Ep 6: Zero the hero

What is the role of zero as a placeholder for large numbers such as 1 million, 1 billion and 1 trillion? Find out about the notion of place value and powers of ten through the act of bead counting.

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Numbers Count: What are factors?

What are factors? Watch as the jelly babies in this clip show you! What are the factors of 12? How many factors does the number 11 have? Try explaining to a friend what a prime number is.

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MathXplosion, Ep 20: Crack an ancient Roman code

Decrypt the ancient cipher box used by Julius Caesar over 2,000 years ago! By shifting the alphabet or replacing one letter for another further down the alphabetical sequence, you can crack a coded message. The secret to a cipher is one special piece of shared information, known as a key. This shared key is required for ...

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Odd and even numbers

Do you know what makes an odd number and what makes an even number? There are a few ways to test whether a number is odd or even. Find out about one method in this video, then see if you can discover at least one other method.

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What is a quarter?

What is a quarter? You get quarters when you divide a whole into four equal parts. Each one of these four parts is a quarter. Watch this great explainer produced by Monique in collaboration with ABC Splash and see how she explains quarters.