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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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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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Flying high

Students partition four-digit numbers into place-value parts.

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Fill it up

Students establish a mental image of one litre and measure the capacity of everyday containers using litres.

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First steps in mathematics: Chance and data

This guide supports teachers to develop students’ understanding, skills and processes related to probability and statistics.

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First steps in mathematics: Number – Book 2

The content of this book is organised into topics including understanding operations, calculating, and reasoning about number patterns.

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First steps in mathematics: Number – Book 1

The content of this book is organised into topics including understanding whole and decimal numbers, and understanding fractional numbers.

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Measuring Mass - Calculate

The focus of this activity is to encourage students to measure, order, compare and check the mass of a range of objects using hefting (holding something to test its mass) or formal units of measure.

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Coin Toss - Calculate

The focus of this activity is for students to conduct an experiment that involves chance.They will use the information they gather to represent their findings.

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Guess My Shape or Object - Calculate

The focus of this activity is to encourage and support students to describe two dimensional shapes and three dimensional objects according to their features or properties.

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The Array Game - Calculate

The purpose of this game is for students to construct arrays and to describe them in words and numbers.

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Measurement (Measure My Island) - Calculate

This activity allows students to learn about measuring by measuring attributes of irregular shapes. The use of informal units is an important step in order to develop understandings of what it looks like when measuring the attributes of length, perimeter and area.

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Addition and Subtraction - Calculate

This game focuses on addition, subtraction and estimation. It can be played many times as the totals will often be different and the focus of the mathematics can change. There is a video included to help with how to play the game.

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Space Race Game (Introducing Algorithmic Thinking) - Calculate

Space Race is a simple board game that teachers can use to introduce the concept of algorithmic sequencing to students. The teaching points provided with the game assist teachers to introduce the use of an algorithm (a simple set of mathematical instructions) to describe the trajectory of an object across a grid plane from ...

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Pattern Blocks - Calculate

This activity uses pattern blocks to explore patterns and the relationship between numbers. Students use the blocks to create and describe other shapes and since the blocks are relational they can be used for other investigations. For example, turn the blocks into units – if the triangle is one what is the value of the hexagon?

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Park Ranger Problem Solving: An ‘Addition & Subtraction’ Rich Task for Years 3–4 - Calculate

The aim of this task is to provide a rich, contextual activity through which students can begin to explore the addition and subtraction of one- and two-digit of numbers in everyday contexts.

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Investigating Measurement (Year 3 & 4) - Calculate

The focus of this activity is to find out what students know and understand about length and the metric system.

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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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Time Year 3 & 4 - Calculate

This lesson focuses on different ways to tell time.