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

Curriculum content descriptions

Make connections between equivalent fractions, decimals and percentages (ACMNA131)

Elaborations
  • connecting fractions, decimals and percentages as different representations of the same number, moving fluently between representations and choosing the appropriate one for the problem being solved
General capabilities
  • Numeracy Numeracy
ScOT terms

Percentages,  Decimals,  Equivalent fractions

Video

BTN: What is the GST?

The Goods and Services Tax (GST) is a tax placed on things people buy with money or things people do for money. Can you name some goods and services that have GST? What about some goods and services that don't have GST? Find out when and why the GST was first introduced.

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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 ...

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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 ...

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reSolve: Reconciliation data

This lesson prompts students to examine data from the Reconciliation Barometer report, collect their own local data and compare with the national findings. Students discuss the meaning of reconciliation, explore statements from Reconciliation Barometer report, design a survey to collect local data relating to the statements ...

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Addition and subtraction problems can be solved using a variety of strategies Multi-age 3–6 Year B – Unit 15

This 2-week unit unit develops the big idea that addition and subtraction problems can be solved using a variety of strategies. Students are provided opportunities to: partition, rearrange and regroup numbers to at least 1000 to solve additive problems; choose and use efficient strategies to solve addition and subtraction ...

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The number system extends infinitely to very large and very small numbers Multi-age 3–6 Year B – Unit 11

This 2-week unit unit develops the big idea that the number system extends infinitely to very large and very small numbers. Students are provided opportunities to: recognise, represent, order and partition large numbers; apply place value knowledge to recognise, name and order decimals; make connections between benchmark ...

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Fractions represent multiple ideas and can be represented in different ways Multi-age 3–6 Year B – Unit 4

This 2-week unit unit develops the big idea that fractions represent multiple ideas and can be represented in different ways. Students are provided opportunities to: partition, measure, label and compare lengths and wholes using fractions; solve problems with fractions; represent and compare fractions of measures and quantities; ...

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Mapping the solar system | Questacon

In this activity, students map out a scale model of the Solar System in a large space such as a sports field. The activity includes a list of what is required, suggestions of what to do and notice, questions to ask, an explanation for the underlying science of what students observe and suggestions for other related activities.

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How Big? | DET - Learning sequences

This learning sequence explores measurement and geometry. Throughout the sequence, students are encouraged to estimate and test their estimates. Students transition from measuring and comparing different lengths, masses, capacities, and temperatures of common items to measuring perimeter, area of two-dimensional shapes ...

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Visual representations help to understand aspects of our world (chance and position): Multi-age 3–6 Year A – Unit 8

This 2-week unit develops the big idea that visual representations help us understand aspects of our world (chance and position).

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Modelling the Solar System

In this activity, students use fractions to create scaled model planets. Students predict how big each planet will look in comparison to Earth, and draw their predictions. They use operations involving fractions to calculate the scales of their models and use different methods to measure the diameter of the model planets.

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Café Fractions - Calculate

In this task, students take the role of the owner of a cake wholesaler, baking and supplying cakes to local café businesses. As café owners order their weekly cakes by the slice, students are required to add unit fractions together to calculate total cake orders. They then solve problems associated with subtracting fractional ...

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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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Let’s go shopping!

This lesson uses the context of grocery shopping to engage students in calculating percentage discounts and the discovering real cost of items offered through different pricing discounts and offers.

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Pattern & Algebra Year 6 - Calculate

The focus of this activity to challenge students to unpack a rule and see if it is being used correctly. Often students will just learn a rule and blindly use it. This task gets students to stop and think and then make corrections to ensure the rule works in all cases (generalise).

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Inquiry Prompt Ribbon Bow - Calculate

This open-ended task challenges students to carry out a mathematical investigation using a ribbon-bow as a stimulus. They are encouraged to develop their own research questions and investigate possible solutions using using mathematical problem solving and modelling strategies.

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Work sample Year 6 Mathematics: Fundraiser

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 ...

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Fractions: Year 6 – planning tool

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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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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The number system extends infinitely to very large and very small numbers Multi-age 3–6 Year B – Unit 6

This 2-week unit unit develops the big idea that our number system extends infinitely to very large and very small numbers. Students are provided opportunities to: read, partition, rename, represent and order large numbers; recognise, name, compare, order and represent decimals; identify the relationship between addition ...