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

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

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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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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What needs to be measured determines the unit of measurement Multi-age 3–6 Year B – Unit 14

This 2-week unit unit develops the big idea that what needs to be measured determines the unit of measurement. Students are provided opportunities to: interpret commonly used fractions of a kilogram and relate these to the number of grams; select and use appropriate units to estimate, measure, compare and record lengths ...

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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 ...

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Addition and subtraction problems can be solved using a variety of strategies Multi-age 3–6 Year B – Unit 2

This 2-week unit unit develops the big idea that addition and subtraction problems can be solved by using a variety of strategies. Students are provided opportunities to: apply place value understanding to solve addition and subtraction problems; identify the connection between addition and subtraction; select and explain ...

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Decimals: Adding and subtracting

In this lesson, students learn about place value and how it extends beyond whole numbers. Students play a board game that draws on their knowledge of adding decimals to tenths, hundredths and thousandths with and without regrouping.

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Event Planner - Calculate

This investigative project gives students the experience of being a professional ‘event planner’, by organising a special event such as a wedding reception, farewell or special birthday party. Students are asked to prepare a comprehensive plan that outlines a floor and seating plan, a fully costed menu, a monetary quote ...

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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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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 ...

Downloadable

Smart shopping

Students compare and evaluate different shopping options.

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

The foul food maker: go figure

This tutorial is suitable for use with a screen reader. It explains how the use of simple words can describe the likelihood of everyday events. How likely is an event: certain, likely, equal chance, unlikely or certainly not? Answer some questions using these words and then build your own examples. Learn how to describe ...

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Questions can be asked and answered by collecting and interpreting data Multi-age 3–6 Year B – Unit 5

This 2-week unit unit develops the big idea that questions can be asked and answered by interpreting data. Students are provided opportunities to: collect data and construct, interpret and compare a range of data displays, including data presented in digital media; interpret and evaluate the effectiveness of various data ...

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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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The number system extends infinitely to very large and very small numbers Multi-age 3–6 Year B – Unit 1

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: partition, represent and order larger numbers; apply place value to recognise, regroup and order whole and decimal numbers; explore the link between multiplicative ...

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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.

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

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?

Online

TIMES Module 18: Number and Algebra: decimals and percentages - teacher guide

This is a 21-page guide for teachers containing an introduction to decimals and percentages. It shows how place value is extended to describe positive numbers less than one. It also explores how to represent decimals on the number line, compare decimals, undertake the four basic arithmetic operations with decimals and change ...

Interactive

Sites2See: Patterns and Algebra

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