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Listed under:  Mathematics  >  Number (Mathematics)  >  Proportions  >  Decimals
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Mathematical modelling: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Mathematical modelling. Students use mathematical modelling to solve practical problems involving natural and rational numbers and percentages, including in financial contexts. They formulate the problem, choose operations and efficient calculation strategies, and use ...

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Place value: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Place value. Students extend understanding of place value by interpreting, comparing and ordering decimal numbers including tenths, hundredths, thousandths and beyond. Students apply multiplicative thinking to explain and model the relationship between consecutive places ...

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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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Work sample Year 5 Mathematics: Who were the fastest swimmers?

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 5 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Converting Decimals Year 6 - Calculate

This task introduces students to a practical situation that involves multiplying and dividing decimals by powers of 10. We want students to focus to use what they know about the measurement in order to explain how to convert them, rather than simply applying a procedure.

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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 ...

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Converting Measures Year 6 - 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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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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Event Planner - Calculate

This investigative project gives students the experience of being a professional ‘event planner’, by organising a special event such as a wedding reception, farewell or special birthday party. Students are asked to prepare a comprehensive plan that outlines a floor and seating plan, a fully costed menu, a monetary quote ...

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The Power of Ten - Calculate

This activity aims to improve student fluency in mentally multiplying and dividing numbers by 10, 100 and 1000.

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Fruit fractions: Gardeners of fractions

In this lesson, students use a simulated garden bed to explore tenths. They explore fractions within simulated Asian gardening plots. They draw garden beds, allocate fractions to fruit plants, and combine fractions to understand tenths. Through creativity and discussion, they grasp the concept of fractions as parts of a ...

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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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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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Four operations: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Four operations. Students apply knowledge of place value to add and subtract decimals, using digital tools where appropriate. They further develop whole number multiplication and then strengthen their understanding of decimals by multiplying and dividing decimals and ...

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Fractions and decimals: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Fractions and decimals. Students continue working with the big idea of fraction equivalence and demonstrate their ability to express a part of a whole as being the same as other parts of a whole (e.g. one half is the same as 4 eighths).

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Estimation and reasonableness: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Estimation and reasonableness. Students round decimals to a specified number of decimal places and connect the process of rounding up or down to prior experiences in rounding.

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Fractions, decimals and percentages: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Fractions, decimals and percentages. Students use their knowledge of percentage and decimal equivalents to calculate percentage discounts.

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Metric units and using instruments: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Metric units and using instruments. Students make connections between the metric system and decimals. The metric system is linked to the base 10 number system, in that each unit is a power of 10. The base unit represents 100 = 1 and the other units grow or decrease by ...

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All operations: Year 7 – planning tool

This planning resource for Year 7 is for the topic of All operations. Students use all operations with positive rational numbers and to choose the most appropriate and efficient approach when solving a variety of problems.

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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.