teaching resource

Mixed Number - Fraction Model Match-Up

Updated: 26 Apr 2023

Practice matching improper fractions, mixed numbers, bar models, and fraction number lines with this set of 36 match-up cards.

Editable: Google Slides
Non-Editable: PDF
Pages: 1 Page
Years: 4 - 6

Curriculum

VC2M4N04

Count by multiples of quarters, halves and thirds, including mixed numerals; locate and represent these fractions as numbers on number lines <ul> <li>cutting objects such as oranges or sandwiches into quarters and counting by quarters to find the total number, and saying the counting sequence ‘one-quarter, two-quarters, three-quarters, four-quarters or one-whole, five-quarters or one-and-one-quarter, six-quarters or one-and-two-quarters … eight quarters or two-wholes ...’</li> <li>subdividing the sections between whole numbers on parallel number lines so that one shows halves, another shows quarters and one other shows thirds; and counting the fractions by jumping along the number lines, and noticing when the count is at the same position on the parallel lines</li> <li>converting mixed numerals into improper fractions and vice versa, and representing mixed numerals on a number line</li> <li>using a number line to represent and count in tenths, recognising that 10 tenths is equivalent to one</li> </ul>
VC2M5N03

Compare and order common unit fractions with the same and related denominators, including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line <ul> <li>using pattern blocks to represent equivalent fractions; selecting one block or a combination of blocks to represent one whole, and making a design with shapes; and recording the fractions to justify the total</li> <li>creating a fraction wall from paper tape to model and compare a range of different fractions with related denominators, and using the model to play fraction wall games</li> <li>connecting a fraction wall model and a number line model of fractions to say how they are the same and how they are different; for example, explaining 1/4 on a fraction wall represents the area of one-quarter of the whole, while on the number line 1/4 is identified as a point that is one-quarter of the distance between zero and one</li> <li>using an understanding of factors and multiples as well as equivalence to recognise efficient methods for the location of fractions with related denominators on parallel number lines; for example, explaining on parallel number lines that 2/10 is located at the same position on a parallel number line as 1/5 because 1/5 is equivalent to 2/10</li> <li>converting between mixed numerals and improper fractions to assist with locating them on a number line</li> </ul>
VC2M6N03

Apply knowledge of equivalence to compare, order and represent common fractions, including halves, thirds and quarters, on the same number line and justify their order <ul> <li>applying factors and multiples to fraction denominators (such as halves with quarters, eighths and twelfths, and thirds with sixths, ninths and twelfths) to determine equivalent representations of fractions in order to make comparisons</li> <li>representing fractions on the same number line, paying attention to relative position, and using this to explain relationships between denominators</li> <li>explaining equivalence and order between fractions using number lines, drawings and models</li> <li>comparing and ordering fractions by placing cards on a string line across the room and referring to benchmark fractions to justify their position; for example, 5/8 is greater than 1/2 can be written as 5/8 > 1/2, because half of 8 is 4; 1/6 is less than 1/4, because 6 > 4 and can be written as 1/6 < 1/4</li> </ul>

teaching resource

Mixed Number - Fraction Model Match-Up

Updated: 26 Apr 2023

Practice matching improper fractions, mixed numbers, bar models, and fraction number lines with this set of 36 match-up cards.

Editable: Google Slides
Non-Editable: PDF
Pages: 1 Page
Years: 4 - 6

Practice matching improper fractions, mixed numbers, bar models, and fraction number lines with this set of 36 match-up cards.

Practise Matching Number Lines and Mixed Numbers with a Fractions Match-Up!

Are you looking for a fractions activity that strengthens your students’ understanding of mixed numbers and number lines? This matching activity will encourage students to find matching mixed numbers, improper fractions, bar models, and fractions on a number line. Each match includes:

Mixed number
Improper fraction
Bar Model Representation
Mixed Number on a Number Line Representation

To use, students will place all cards face up in front of them. Beginning with the Mixed Number cards, students will review the remaining cards and identify the improper fraction and visual representations that match the given mixed number,

Each mixed number is part of a set of four cards, with nine different mixed numbers for students to work with. In total, there are 36 cards representing mixed numbers in the download.

Through this activity, students will show they can match an improper fraction, mixed number, and visual representation of the same number.

Differentiate Your Mixed Number Activities

A team of dedicated, experienced educators created this resource to support your maths lessons.

In addition to individual student work time, use this fraction game to enhance learning through guided maths groups or as a station activity.

If you have a mixture of above and below-level learners, check out these suggestions for keeping students on track with the concepts:

🆘 Support Struggling Students

Help students who need support understanding the concepts by limiting the number of playing cards. Additionally, choose only to use certain card types (improper fraction and visual representation, mixed number and word form, etc.). Additionally, provide access to previous assignments, posters, and anchor charts for students to recall past lessons.

➕ Challenge Fast Finishers

For fast finishers, encourage students to make additional cards to add to the game using index cards.

Easily Prepare This Resource for Your Students

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

Print on cardstock for added durability and longevity. Place all pieces in a folder or large envelope for easy access.

This resource was created by Lorin Davies, a Teach Starter Collaborator.

Don’t stop there! We’ve got more activities and resources that cut down on lesson planning time:

teaching resource

Improper Fractions Anchor Chart

Display this improper fractions anchor chart full of information about proper fractions, improper fractions, and mixed numbers for easy reference.

Curriculum

VC2M4N04

Count by multiples of quarters, halves and thirds, including mixed numerals; locate and represent these fractions as numbers on number lines <ul> <li>cutting objects such as oranges or sandwiches into quarters and counting by quarters to find the total number, and saying the counting sequence ‘one-quarter, two-quarters, three-quarters, four-quarters or one-whole, five-quarters or one-and-one-quarter, six-quarters or one-and-two-quarters … eight quarters or two-wholes ...’</li> <li>subdividing the sections between whole numbers on parallel number lines so that one shows halves, another shows quarters and one other shows thirds; and counting the fractions by jumping along the number lines, and noticing when the count is at the same position on the parallel lines</li> <li>converting mixed numerals into improper fractions and vice versa, and representing mixed numerals on a number line</li> <li>using a number line to represent and count in tenths, recognising that 10 tenths is equivalent to one</li> </ul>
VC2M5N03

Compare and order common unit fractions with the same and related denominators, including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line <ul> <li>using pattern blocks to represent equivalent fractions; selecting one block or a combination of blocks to represent one whole, and making a design with shapes; and recording the fractions to justify the total</li> <li>creating a fraction wall from paper tape to model and compare a range of different fractions with related denominators, and using the model to play fraction wall games</li> <li>connecting a fraction wall model and a number line model of fractions to say how they are the same and how they are different; for example, explaining 1/4 on a fraction wall represents the area of one-quarter of the whole, while on the number line 1/4 is identified as a point that is one-quarter of the distance between zero and one</li> <li>using an understanding of factors and multiples as well as equivalence to recognise efficient methods for the location of fractions with related denominators on parallel number lines; for example, explaining on parallel number lines that 2/10 is located at the same position on a parallel number line as 1/5 because 1/5 is equivalent to 2/10</li> <li>converting between mixed numerals and improper fractions to assist with locating them on a number line</li> </ul>
VC2M6N03

Apply knowledge of equivalence to compare, order and represent common fractions, including halves, thirds and quarters, on the same number line and justify their order <ul> <li>applying factors and multiples to fraction denominators (such as halves with quarters, eighths and twelfths, and thirds with sixths, ninths and twelfths) to determine equivalent representations of fractions in order to make comparisons</li> <li>representing fractions on the same number line, paying attention to relative position, and using this to explain relationships between denominators</li> <li>explaining equivalence and order between fractions using number lines, drawings and models</li> <li>comparing and ordering fractions by placing cards on a string line across the room and referring to benchmark fractions to justify their position; for example, 5/8 is greater than 1/2 can be written as 5/8 > 1/2, because half of 8 is 4; 1/6 is less than 1/4, because 6 > 4 and can be written as 1/6 < 1/4</li> </ul>

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