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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

Online

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 ...

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

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

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 ...

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.

Video

AERO Ochre Maths Year 6 Unit 2 - Fractions

This sequence of 10 lessons teaches students about fractions, and their relationship with whole numbers and decimals.

Text

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 ...

Online

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

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 ...

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 ...

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.

Interactive

Sites2See – number for primary

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

Video

Multiplying and dividing decimals

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?

Downloadable

Drone safety lesson: How close, how far?

This lesson provides an authentic context to develop skills of estimation and measuring length. It provides an opportunity for students to connect decimal representations to the metric system and convert from centimetres to metres, and metres to kilometres. It also provides a context to investigate and become familiar with ...

Video

Catalyst: Small scale measurements

What units of measurements do we use to describe incredibly small things like blood cells and atoms? Watch as you are taken on a journey to explain the different units of measurement that we use to describe the very small.

Video

Mixed Up Maths, Ep 12: Super Cyril's circus supplies

Do you know how to draw up a budget? Find out how it's done. In our example our host is throwing a circus party and has $100 to spend. See how he plans to spend the money. Throw in a few discounts of 10% and 50% and look what he can afford. Does he mange to stick to his budget?

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.

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.

Text

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 ...

Interactive

Summing Decimals

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

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.