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

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.

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

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.

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.

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Fractions

This is a website designed for both teachers and students that addresses components of the arithmetic of fractions. It is particularly relevant for comparison and addition and subtraction of fractions with related denominators. It also contains material on finding a fraction of a quantity where the result is a whole number. ...

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 ...

Video

MathXplosion, Ep 40: Kaprekar's operation

Did you know that 6,174 is a very mysterious number? In 1949, the mathematician Dr Kaprekar from India devised a process now known as Kaprekar's operation. First, choose a four-digit number where the digits are all different. Then rearrange the digits to get the largest and smallest numbers these digits can make. Finally, ...

Online

Whole numbers with all four operations

This is a website designed for both teachers and students that addresses whole numbers with the four operations from the Australian Curriculum for year 6 students. It contains material on the strategies and algorithms used when adding, subtracting, multiplying and dividing whole numbers. There are pages for both teachers ...

Interactive

Summing Decimals

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

Online

TIMES Module 8: Number and Algebra: subtraction of whole numbers - teacher guide

This is a 16-page guide for teachers. This module continues the consideration of whole numbers.

Online

Primary mathematics: open-ended tasks

These seven learning activities, which focus on 'open-ended tasks' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use investigations in order ...

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. ...

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ABC News: 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.

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, ...

Online

reSolve: Fraction Benchmarks

This sequence of two lessons focuses on the idea that fractions are numbers and builds students' understanding of the relative sizes of fractions. Students build their fractional sense through determining if fractions are closest to 0, 1/2 or 1. In the first lesson, students use sets of fraction cards to sort fractions ...

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, ...

Online

TIMES Module 7: Number and Algebra: addition of whole numbers - teacher guide

This is a 16-page guide for teachers. This module introduces addition of whole numbers.