Mathematics / Year 4 / Number and Algebra / Fractions and decimals

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View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation (ACMNA079)

Elaborations
  • using division by 10 to extend the place-value system
  • using knowledge of fractions to establish equivalences between fractions and decimal notation
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Place value,  Simple fractions,  Decimals

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15 direct matches to ACMNA079 | 5 other related resources
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This sequence of four lessons integrates content in number and measurement to deepen students' understanding and confidence working with larger numbers. Students work flexibly with numbers up to 10 000 as they determine suitable dimensions for a container that can hold 10 000 centicubes. They are challenged to plan, construct ...

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Decimaster: match-up 1

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Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on an area representation and a common fraction. Match three decimals with each tool.

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This is a year 4 mathematics unit of work about preparing a 'shoebox of love', a gift-filled shoebox to be sent to a child in need. The unit is intended to take about 11 hours of teaching and learning time. It consists of an introduction, seven student activities and teacher notes on curriculum, pedagogy and assessment. ...

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Online

Place value: Year 4 – planning tool

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This planning resource for Year 4 is for the topic of Place value. Students apply their understanding of fractions and division to divide a whole (rectangle model) into 10 equal pieces. They learn that each piece represents 0.1 or one tenth of the length of the original whole.

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First steps in mathematics: Number – Book 2

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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

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

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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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This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

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Students apply standard and non-standard place value partitioning to seven-digit numbers.

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In this lesson students learn about needs and wants whilst budgeting for a birthday party. Students gather and compare data about how their classmates celebrate birthdays. They are then introduced to budgeting in the context of planning a party. They are asked to consider how needs and wants impact their spending choices ...

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Decimal fractions video

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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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The Power of Ten - Calculate

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

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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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Decimats - Calculate

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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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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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Learn about the core concepts of fractions through 12 animated clips. View the clips on the topic that you want to learn about. These clips will help build a string foundation in fractions. Free when reviewed on 12/5/2015.

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This lesson aims to build students' algebraic reasoning and understanding of number as they explore computation on the number chart. Students explore the moves of a king chess piece and how the value of the numbers change as he moves. This builds into an algebraic exploration of equivalent values that can be found on the ...

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Online

reSolve: Place Value: Cartoon Counting

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This lesson engages students in investigating place value by considering a counting system using base 8. Students are challenged to imagine how place value would work in a cartoon world where everyone only had eight fingers. They engage in activities with counting blocks, representing numbers in base 10 and in base 8 and ...

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Wishball: hundredths

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Test your understanding of decimal place value with numbers that include hundredths. Receive a starting number, such as 46.87, and work towards turning it into a target number, such as 85.32. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. ...

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Wishball challenge: whole numbers

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Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, 7664. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. Be careful not to overshoot ...

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