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

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
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

Interactive

Summing Decimals

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

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.

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 ...

Interactive

Playground percentages

Help a town planner to design two site plans for a school. Assign regions on a 10x10 grid for different uses such as a playground, canteen, car park or lawn. Calculate the percentage of the total site used for each region. Use a number line to display fractions and equivalent fractions.

Video

Decimal multiplication: petrol prices

Petrol for our cars is made from crude oil. The price of crude oil is constantly changing. This affects the price of petrol at the pump. Listen to Natasha Thiele explain how and why the price of petrol keeps changing. This clip provides context for decimal multiplication.

Interactive

Fraction fiddle: hit the apple

Help an archer to hit an apple with his arrow. Build two fractions to make a total of one whole. Complete the numerators of both fractions (they may have fixed denominators). For example, work out how many quarters and how many eighths can be added together to total one whole. Look at fraction bars and a number line to ...

Interactive

Decimaster: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on an area representation and a common fraction. Match three decimals with each tool.

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 ...

Interactive

Wishball: hundredths

Test your understanding of decimal place value with numbers that include hundredths. Receive a starting number, such as 46.87, and work towards turning it into a target number, such as 85.32. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. ...

Video

Adding two numbers

How many different ways can you think of to add two numbers to reach ten? Watch this video to learn them all!

Video

Maths Years F-1 with Miss James: Addition using a number line

In this lesson, Miss James teaches you the valuable “counting on” strategy to help you solve tricky addition problems. She demonstrates how to use a number line correctly, and she provides opportunities for you to have a go at home.

Video

Maths Years 3 - 6 with Miss White: Calculating change using vertical subtraction

In this lesson, Miss White teaches you how to complete formal subtraction problems that involve regrouping. She will teach you how to regroup multiple times, and she will teach you how to calculate your change when you go shopping.

Video

Counting pirate treasure

Watch as a stingy pirate captain counts out wages in 'pieces of eight' (gold coins) for one of his crew. Watch as the pirate captain takes away pieces of eight for what he calls 'deductions'. See how much gold the crew member walks away with!

Video

Maths Years F-1 with Miss James: Subtraction using a number line

In this lesson, Miss James teaches you the valuable “counting back” strategy to help you solve tricky subtraction problems. She demonstrates how to use a number line correctly, and she provides opportunities for you to have a go at home.

Video

Maths Years 3 - 6 with Miss White: Subtraction without regrouping

In this lesson, Miss White teaches you how to complete formal subtraction problems without regrouping. She demonstrates how to set up and solve the subtraction questions correctly, and she provides opportunities for you to have a go at home.

Video

Maths Years F-1 with Miss James: Worded problems with addition and subtraction

In this lesson, Miss James needs your detective skills to solve some addition and subtraction problems. Look for clue words that will help you to decide if you should add or subtract, then try to challenge one of your family members at home!

Video

Maths Years 3 - 6 with Miss White: Addition without regrouping

In this lesson, Miss White teaches you how to complete formal addition problems without regrouping. She demonstrates how to set up and solve the addition questions correctly, and she provides opportunities for you to have a go at home.

Video

Calculate your compost

Watch this clip and learn how to make the best use of your fruit and vegie scraps. What are the three uses Costa suggests? JP Williamson says that, on average, households produce 2.3kg of compostable food waste per week. Can you use this figure to calculate how much food waste your street produces each week? Using your ...

Video

Maths Years 3 - 6 with Miss White: Subtraction with regrouping

In this lesson, Miss White teaches you how to use regrouping to complete formal subtraction problems. She will introduce you to a helpful rhyme, which will help you when you're trying to solve tricky subtraction questions.

Video

Maths Years 3 - 6 with Miss White: Addition with regrouping

In this lesson, Miss White teaches you how to use regrouping to complete formal addition problems. She demonstrates how to set up and solve the addition questions correctly, and she provides opportunities for you to have a go at home.