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

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.

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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. ...

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 ...

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Fractions represent multiple ideas and can be represented in different ways Multi-age 3–6 Year B – Unit 4

This 2-week unit unit develops the big idea that fractions represent multiple ideas and can be represented in different ways. Students are provided opportunities to: partition, measure, label and compare lengths and wholes using fractions; solve problems with fractions; represent and compare fractions of measures and quantities; ...

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Café Fractions - Calculate

In this task, students take the role of the owner of a cake wholesaler, baking and supplying cakes to local café businesses. As café owners order their weekly cakes by the slice, students are required to add unit fractions together to calculate total cake orders. They then solve problems associated with subtracting fractional ...

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Pattern & Algebra Year 6 - Calculate

The focus of this activity to challenge students to unpack a rule and see if it is being used correctly. Often students will just learn a rule and blindly use it. This task gets students to stop and think and then make corrections to ensure the rule works in all cases (generalise).

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.

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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 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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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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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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ROWCO - Calculate

ROWCO is a card game that will help students practice their addition facts while playing an engaging strategy game.

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.

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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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Crocodile and Shark (4–6) - Calculate

In this game students practise addition and subtraction of 2-digit numbers, using multiple strategies.

Video

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, ...

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 14: Number and Algebra: fractions - teacher guide

This is a 16-page guide for teachers that provides an introduction to fractions. It covers ordering, the four basic arithmetic operations, cancelling, writing in simplest form, the use of the area model for multiplication and the use of the number line for ordering, adding and subtracting. A history of the development of ...