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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

Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126)

Elaborations
  • understanding the processes for adding and subtracting fractions with related denominators and fractions as an operator, in preparation for calculating with all fractions
  • solving realistic additive (addition and subtraction) problems involving fractions to develop understanding of equivalent fractions and the use of fractions as operators
  • modelling and solving additive problems involving fractions by using methods such as jumps on a number line, or by making diagrams of fractions as parts of shapes
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Subtraction,  Addition,  Related denominators

Video

Fractions in the real world

How many quarters make up a whole? Watch this video to find out how else you can represent 2/4 and how to add up quarters to make a whole.

Video

What is a quarter?

What is a quarter? You get quarters when you divide a whole into four equal parts. Each one of these four parts is a quarter. Watch this great explainer produced by Monique in collaboration with ABC Splash and see how she explains quarters.

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 ...

Video

Adding decimals

This is a video demonstration, with audio commentary, of the procedure of adding decimal fractions. In the commentary, the presenter emphasises the links with the underpinning concepts of place value. Practice questions, limited to addition of decimal fractions involving tenths and hundredths, are presented with answers, ...

Video

Subtracting decimals

This is a video demonstration, with audio commentary, of the procedure for pen-and-paper subtraction of decimal fractions. In the commentary, the presenter emphasises the links with the underpinning concepts of place value. Practice questions, limited to subtraction of decimal fractions involving tenths and hundredths, ...

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 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.

Video

Maths Years F-1 with Miss James: Subtraction using concrete and pictorial strategies

In this lesson, Miss James teaches you how to solve subtraction problems using counters and pictures. 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: Addition using concrete and pictorial strategies

In this lesson, Miss James teaches you how to solve addition problems using counters and pictures. 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

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

Elmo's ducks

Sing along with Elmo and his four quacking ducks. One by one the ducks go away. How many ducks are left? See if Elmo's ducks come back.

Video

Funny money

What do you use money to buy? In this clip we look at Australian money. See the different coins and notes that make up our money system. We investigate if size, (in coins) does matter. Check out how many 5 cent pieces you need to make two dollars. We also look at some currencies used around the world. Find out which country ...

Video

Mapping a sea voyage: calculating distance

Scientists involved in the Two Bays Project describe data collection methods for their 20-day expedition around Port Phillip and Western Port bays. Watch this clip to view the route mapped out by the scientists. Use Google Maps to recreate the route and calculate the total distance travelled.