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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.

Downloadable

Make a measuring jug

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

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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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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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Leaf task

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

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 ...

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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.

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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Mixed Up Maths, Ep 8: Strawberry milkshake warrior princess

Super heroes have amazing powers. To avert disaster we need a super hero who has intelligence, strength and speed. Which super hero has the right super units of each super power? Compare the super hero bar graphs. Will it be Mega Muscle Man, Atomic Angel, Keyboard Kid or some other super hero? Watch the clip to find out?

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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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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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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 fractal?

Do you know what a fractal is? Basically, fractals are never-ending patterns created by repeated mathematical equations. In this clip, Yuliya, a student at MIT (in the USA) describes the properties of fractals and shows you where they can be found in technology and nature. Have a good look at the world around you and see ...

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Right angle or acute angle?

What's the difference between a right angle and an acute angle? Find out!

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Mixed Up Maths, Ep 7: Daredevil geometry

What does a daredevil jumps rider need to know about geometry? Find out as we discover angles for take off and for landing. But before we do that sit down for some angles basics! A good place to start is angles of turn through a circle from a 1/4, 1/2, 3/4, all the way to one full turn. See how many each represents as an angle.

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Musical fractions

Break down a song by counting how long the notes are in action! Learn about patterns in rhythms and musical notes, and discover the role of fractions in denoting whole, half and quarter notes and creating distinct sounds.

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MathXplosion, Ep 42: Maths in nature

Maths can be found in living things and natural structures. Explore mathematical patterns in nature, such as the tessellating hexagonal units of a honeycomb, the bilateral symmetry of a leaf, the radial symmetry of a snowflake and spiderweb, and the number of right or left spirals on a pinecone or pineapple (Fibonacci numbers).

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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.