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

Curriculum content descriptions

Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies (ACMNA129)

Elaborations
  • interpreting the results of calculations to provide an answer appropriate to the context
General capabilities
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Division,  Multiplication,  Decimals

Online

Decimals

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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Work sample Year 6 Mathematics: How tall?

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 6 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 ...

Online

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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Imperial pie

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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Fractions

This is a website designed for both teachers and students that addresses components of the arithmetic of fractions. It is particularly relevant for comparison and addition and subtraction of fractions with related denominators. It also contains material on finding a fraction of a quantity where the result is a whole number. ...

Online

Connecting fractions, decimals and percentages

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 ...

Online

Whole numbers with all four operations

This is a website designed for both teachers and students that addresses whole numbers with the four operations from the Australian Curriculum for year 6 students. It contains material on the strategies and algorithms used when adding, subtracting, multiplying and dividing whole numbers. There are pages for both teachers ...

Online

Percentage discounts

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 ...

Online

Factors, multiples, primes: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Factors and multiples. Students decompose composites into their prime factors and recognise primes as the building blocks of composite numbers. Students consolidate use of the distributive and commutative laws of multiplication to simplify calculations.

Online

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 ...

Downloadable

Assessment tasks: metric units and relationship to decimals

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

Online

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.

Online

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 ...

Video

Algebra basics video

Use this video as a springboard to introduce algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning.

Downloadable

Operations: Foundation to Year 9

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.

Downloadable

Smart shopping

Students compare and evaluate different shopping options.

Online

When I post something online how permanent is it?

Students engage in a photo rip up activity to emphasize the permanency of online information, they explore factor trees, doubling and line graphs through the lens of sharing information, and they collaboratively develop a set of protocols around sharing information online.

Video

Decimal fractions video

Use this video to explore decimal fractions, how they are represented and how we use them in day-to-day contexts.

Downloadable

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.

Downloadable

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.