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Listed under:  Mathematics  >  Number (Mathematics)  >  Proportions  >  Simple fractions  >  Equivalent fractions
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Fractions, decimals and percentages: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Fractions, decimals and percentages. Students recognise that fractions, decimal fractions and percentages are equivalent ways to represent and make sense of quantities. They learn about the different contexts where it makes sense to use one of the constructs to express ...

Downloadable

Walking the rope

Students develop an understanding of the proportion and relationships between fractions. They represent fractions using linear models and symbols and form a generalisation about fractions equivalent to one whole.

Online

Fractions, decimals and percentages: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Fractions, decimals and percentages. Students use their knowledge of percentage and decimal equivalents to calculate percentage discounts.

Online

Practical numbers: Part 2

In this lesson we use the context of an ancient bazaar to investigate measurement systems. Students select a name and base number for their system of measurement, using weights made from clay or similar material. They divide their clay into possible unit fractions to generate their set of weights. They assign a fictional ...

Online

Fruit fractions: Gardeners of fractions

In this lesson, students use a simulated garden bed to explore tenths. They explore fractions within simulated Asian gardening plots. They draw garden beds, allocate fractions to fruit plants, and combine fractions to understand tenths. Through creativity and discussion, they grasp the concept of fractions as parts of a ...

Online

Number sequence: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Number sequence. Students extend their understanding of equivalence of fraction with visual representations such as a number line that extends beyond zero; concrete materials; and common multiples and fraction walls. Students learn to work with equivalence and explore ...

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Mathletes in motion

In this lesson, students use mathematical modelling in measurement (comparing and evaluating sports results) to explain equivalence between fractions, decimals and percentages, and represent rational numbers on a number line.

Online

Fruit fractions: Fruit kebab fun

In this lesson, we use fruit to explore common/decimal fractions relating to tenths. Students will use coloured Unifix cubes to represent tenths of a fraction on a ‘fruit kebab’. They will discover the idea of equivalent fractions and make connections using a fraction wall. The lesson uses interactive activities, discussions ...

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Cutting it up

Students represent fractions using linear materials and recognise key equivalent fractions. They share collections equally to solve simple problems (halves, quarters and eighths).

Online

Practical numbers: Part 1

In this lesson, students explore standardised measuring systems. They encounter the challenge of a shopkeeper who must determine how to weigh different quantities of spices most efficiently. Working in a financial context, students model this scenario using fractions, percentages and ratios, and communicate their solution ...

Downloadable

Left overs

Students investigate the relative position of numbers by modelling fractional numbers between whole numbers. They represent linear models of fractions along number lines and use these models to count and solve simple fraction addition problems.

Video

AERO Ochre Maths Year 6 Unit 2 - Fractions

This sequence of 10 lessons teaches students about fractions, and their relationship with whole numbers and decimals.

Online

Fractions and decimals: Year 4 – planning tool

This planning resource for Year 4 is for the topic of Fractions and decimals. Students continue working with the big idea of fraction equivalence and demonstrate their ability to express a part of a whole as being the same as other parts of a whole (e.g. one half is the same as 4 eighths).

Online

Fruit fractions: Fruit salad crafty creations

Students demonstrate knowledge of fractions through creating their very own simulated ‘fruit salad’. Pose the questions: if you were to create a fruit salad what would it have in there? In what ratios/proportions? Are there any fruits you wouldn’t want in there? Which fruits go/don’t go together? Showcase your understanding ...

Online

Fruit fractions: Growing with fruit

Explore fractions through plant growth in this engaging lesson. Students will measure and represent plant growth using fractions, gaining a clear understanding of numerators and denominators. This interactive lesson encourages creative exploration of equivalent fractions while fostering a deeper connection with the concept ...

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 ...

Video

Decimals and fractions

This is a video demonstration of converting decimal fractions to simplified fractions. In the commentary, the presenter highlights the relevance of understanding and applying place value concepts, including the efficiency in initially interpreting the fractional part of the decimal fraction as a single fraction. Practice ...

Interactive

Converting decimals to percentages

This interactive resource consists of a series of questions about converting decimals into percentages. The viewer is required to convert a decimal number into a percentage and enter the answer in a window on the screen. The answer can be checked and, if correct, the viewer moves to the next question. Help is available ...

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BBC Bitesize: fractions - revision

This is a set of information sheets dealing with fraction concepts, terminology and calculations. Students are presented with practice questions and have access to a short test to assess their learning. This resource is one of a series of online resources from the BBC's Bitesize collection.

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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. ...