teaching resource

Equivalent Fractions on a Number Line – Differentiated Worksheets

Updated: 21 Jun 2023

Practise placing equivalent fractions on a number line with this cut-and-paste worksheet.

Editable: Google Slides
Non-Editable: PDF
Pages: 1 Page
Year: 4

Curriculum

VC2M4N03

Find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation <ul> <li>extending fraction families within collections of materials, for example, by seeing 3/4 as 3 in each 4, showing this within related fractions like 6/8 or seeing that 2/5 means 2 in each 5 so it can be shown within 4/10</li> <li>creating models of equivalent fractions by subdividing capacity measures into smaller fractions; for example, half a cup of flour could be shown as two-quarters or four-eighths of a cup of flour</li> <li>folding paper to show equivalence between different fractions; for example, folding A4 paper in half and half again, repeating to form eighths and demonstrating that 4/8 = 2/4 = 1/2; or folding paper strips into fifths and tenths, and recording as both fractions and decimals</li> <li>identifying and using the connection between fractions of metres and decimals; for example, finding 1/4 of a metre and connecting this to 0.25 metres or 25 centimetres, or finding 1/10 of a metre and connecting this with 0.10 metres or 10 centimetres</li> <li>using array diagrams to show the relationship between fractions and division and multiplication of natural numbers, for example, 3 × 4 = 12, 12 ÷ 4 = 3,1/4 of 12 is 3, 1/3 of 12 is 4</li> </ul>
VCMNA242

Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line

teaching resource

Equivalent Fractions on a Number Line – Differentiated Worksheets

Updated: 21 Jun 2023

Practise placing equivalent fractions on a number line with this cut-and-paste worksheet.

Editable: Google Slides
Non-Editable: PDF
Pages: 1 Page
Year: 4

Practise placing equivalent fractions on a number line with this cut-and-paste worksheet.

What are Equivalent Fractions?

Equivalent fractions are fractions that have the same value or represent the same portion of a whole but are written using different numbers. For example, 1/2 and 2/4 are equivalent fractions because they both represent half of a whole. Similarly, 3/4 and 6/8 are equivalent fractions because they both represent three-fourths of a whole.

To find equivalent fractions, you can multiply or divide both the numerator and denominator of a fraction by the same number. This does not change the value of the fraction, but it changes the way it is written. For example, to find an equivalent fraction to 2/3 with a denominator of 12, you can multiply both the numerator and denominator by 4, which gives you 8/12.

If you are looking for a differentiated worksheet to help your students understand equivalent fractions as well as fractions on a number line, you have come to the right place! Teach Starter has developed 2 different worksheets to help your students recognize not only where fractions fall on a number line but also different (equivalent) ways to write each fraction.

An answer key is included with your download to make grading fast and easy!

Easily Download & Print

Use the dropdown icon on the Download button to choose between the PDF or editable Google Slides version of this resource.

Because this resource includes an answer sheet, we recommend you print one copy of the entire file. Then, make photocopies of the blank worksheet for students to complete.

Don’t stop there! We’ve got more activities to shorten your lesson planning time:

teaching resource

Equivalent Fraction Wall Poster

Guide students to develop an understanding of fractions with the same value by using an equivalent fractions chart in your classroom.

teaching resource

Equivalent Fractions – Teaching Presentation

Teach your students how to find equivalent fractions by using a number line, shaded models or a fraction chart with this teaching presentation.

teaching resource

Equivalent Fractions – Deck of Cards

Finding equivalent fractions doesn't have to be boring. Download this set of 30 cards to use in your classroom in various ways.

Curriculum

VC2M4N03

Find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation <ul> <li>extending fraction families within collections of materials, for example, by seeing 3/4 as 3 in each 4, showing this within related fractions like 6/8 or seeing that 2/5 means 2 in each 5 so it can be shown within 4/10</li> <li>creating models of equivalent fractions by subdividing capacity measures into smaller fractions; for example, half a cup of flour could be shown as two-quarters or four-eighths of a cup of flour</li> <li>folding paper to show equivalence between different fractions; for example, folding A4 paper in half and half again, repeating to form eighths and demonstrating that 4/8 = 2/4 = 1/2; or folding paper strips into fifths and tenths, and recording as both fractions and decimals</li> <li>identifying and using the connection between fractions of metres and decimals; for example, finding 1/4 of a metre and connecting this to 0.25 metres or 25 centimetres, or finding 1/10 of a metre and connecting this with 0.10 metres or 10 centimetres</li> <li>using array diagrams to show the relationship between fractions and division and multiplication of natural numbers, for example, 3 × 4 = 12, 12 ÷ 4 = 3,1/4 of 12 is 3, 1/3 of 12 is 4</li> </ul>
VCMNA242

Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line

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