Mathematics / Year 6 / Number and Algebra / Fractions and decimals

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Curriculum content descriptions

Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128)

Elaborations
  • extending whole-number strategies to explore and develop meaningful written strategies for addition and subtraction of decimal numbers to thousandths
  • exploring and practising efficient methods for solving problems requiring operations on decimals, to gain fluency with calculating with decimals and with recognising appropriate operations
General capabilities
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Rounding,  Subtraction,  Addition,  Decimals

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5 direct matches to ACMNA128 | 15 other related resources
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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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Smart shopping

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Students compare and evaluate different shopping options.

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Decimals

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This is a website designed for teachers and students in year 5, and addresses components of the working with decimals topic. It is particularly relevant for comparison, addition, subtraction, multiplication and division with decimals. There are pages for both teachers and students. The student pages contain interactive ...

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Sites2See – number for primary

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Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

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Summing Decimals

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An interactive resource in which students learn how to add and subtract numbers that have up to two decimal places.

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reSolve: Reconciliation data

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Multiplying and dividing decimals

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Learn how to multiply and divide decimals by 100. Based on this video, see if you can work out how to multiply and divide decimals by 10 and 1000. What do you get if you multiply 0.375 by 10?

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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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Fractions, decimals and percentages: Year 6 – planning tool

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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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Mathematical modelling: Year 6 – planning tool

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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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Online

Metric units and using instruments: Year 6 – planning tool

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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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Online

Fractions: Year 6 – planning tool

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This planning resource for Year 6 is for the topic of Fractions. Students develop increasingly efficient strategies for adding and subtracting fractions with related and unrelated denominators. They develop conceptual understanding by being given opportunities to estimate before computation and justify their thinking. They ...

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Online

Connecting fractions, decimals and percentages

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This is a website designed for both teachers and students that addresses the connections between fractions, decimals and percentages from the Australian Curriculum for year 6 students. It contains material on the relationship between fractions, decimals and percentages and helps students understand that although there are ...

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Imperial pie

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This activity involves making a cake using a recipe in which the quantities of the ingredients required are measured using a variety of imperial units. To complete the recipe, students need to convert the imperial units to metric units in order to be able to use their metric measuring instruments. The activity serves to ...

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Online

Percentage discounts

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This is a website designed for both teachers and students that refers to making connections between percentages, decimals and fractions, as well as calculating percentages and percentage discounts from the Australian Curriculum for year 6 students. It contains material on calculating percentages of an amount and calculating ...

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MathXplosion, Ep 40: Kaprekar's operation

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Did you know that 6,174 is a very mysterious number? In 1949, the mathematician Dr Kaprekar from India devised a process now known as Kaprekar's operation. First, choose a four-digit number where the digits are all different. Then rearrange the digits to get the largest and smallest numbers these digits can make. Finally, ...

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MoneySmart: helping out

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This is an activity about making choices to raise money for imaginary animals called gumbutangs. Their habitat is being eradicated and something must be done to save them. The user's first choice is between two websites, one a trusted one, the other a scam site. Then they are given choices about how to raise money for the ...

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MoneySmart: It's raining cats and dogs...and chickens?

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This is a year 6 mathematics unit of work about keeping pets. The unit is intended to take about 12 hours of teaching and learning time, and is recommended for near the end of the school year. It consists of an introduction, seven sets of student activities, and teacher notes. The student activities include building a word ...

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Operations: Foundation to Year 9

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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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Assessment tasks: metric units and relationship to decimals

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Use the diagnostic tasks, Page sections and Decimals and measures, to assess a student’s understanding of metric units and their relationship to decimals.

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