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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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Geometry: Foundation to Year 9

This comprehensive resource describes the progression of geometric reasoning. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in geometry including teaching and cultural implications.

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Number: Foundation to Year 9

This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.

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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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Left overs

Students investigate the relative position of numbers by modelling fractional numbers between whole numbers. They represent linear models of fractions along number lines and use these models to count and solve simple fraction addition problems.

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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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Pass The Count - Calculate

This game allows students to practice their skip counting skills in small groups.

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Factors and Multiples - Calculate

These games and activities require children to identify factors and multiples to help children become more familiar with these terms. This understanding will support children’s ability to solve problems, including knowing how to add fractions with different denominators.

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Catch the Moon - Calculate

This game applies students' knowledge of location on a grid and practises directional language. Students develop a strategy to make effective moves, using two dice, counters and a 10 by 10 grid.

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ROWCO - Calculate

ROWCO is a card game that will help students practice their addition facts while playing an engaging strategy game.

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Measuring sticks: Decimals

In this lesson, students learn about place value and how it extends beyond whole numbers. They use drinking straws to model decimals.

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Multiplication Facts - Calculate

This resources describes some games and activities that can be used to help students learn the multiplication facts (or times tables) up to 10 × 10.

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Addition Strategies - Calculate

Regular practise of addition facts can help children build their confidence in maths.

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Decimals Year 3 & 4 - Calculate

The focus of this activity is to find out what students know about addition of decimals and what are some of the different strategies students are able to use and explain. Do students prefer to use equations or do students rely more on empty number lines?

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Symmetry Year 4 - Calculate

This activity is about symmetry and transformations. The aim is for students not simply find solutions but to think about a way to record their discoveries in a systematic way. How can students share their thinking and compare their answers to someone else?

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Maps Year 3 & 4 - Calculate

The focus of this activity is to encourage students to use trial and error and persistence to solve a mathematical problem.

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How Full Is a Bucket? - Calculate

This team-based game challenges students to use metric units of volume and to make capacity estimates for various containers.

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Grid Games - Calculate

This game, played in on a grid on the classroom floor, challenges students to develop directional language and use coordinates to locate places on a grid. The instructions include multiple variations on the game which focus on different aspects of location and direction concepts.

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Mystery Picture - Calculate

This activity asks students to follow directions and use grid coordinates to create a picture.

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Decimats - Calculate

This activity allows students to develop an understanding of decimals and how they connect to fractions and the area model. It enables them to make comparisons between decimals and their sizes and build a greater understanding of what makes a larger decimal and smaller decimal. The decimats provide them with a representational ...