Transum Software

Vinculum

The objective of this challenge is to enter five fractions each one larger than the one before. The fraction to get you started is .

Enter a fraction less than one but greater than

0
0
.

Please check you have typed in a fraction correctly

Enter a fraction less than one but greater than

0
0
.

Please check you have typed in a fraction correctly

Enter a fraction less than one but greater than

0
0
.

Please check you have typed in a fraction correctly

Enter a fraction less than one but greater than

0
0
.

Please check you have typed in a fraction correctly

Enter a fraction less than one but greater than

0
0
.

Please check you have typed in a fraction correctly

Enter a fraction less than one but greater than

0
0
.

Please check you have typed in a fraction correctly

Enter a fraction less than one but greater than

0
0
.

Please check you have typed in a fraction correctly

Enter a fraction less than one but greater than

0
0
.

Please check you have typed in a fraction correctly

Enter a fraction less than one but greater than

0
0
.

Please check you have typed in a fraction correctly

Enter a fraction less than one but greater than

0
0
.

Please check you have typed in a fraction correctly

Enter a fraction less than one but greater than

0
0
.

Please check you have typed in a fraction correctly

Enter a fraction less than one but greater than

0
0
.

Please check you have typed in a fraction correctly

Well done. You have reached the end of this challenge

Congratulations. You have completed all of the challenges.
There is a trophy waiting for you.

This activity comprises of  challenges each one requiring you to type in one more fraction than the previous challenge and each starting with a different fraction. The starting fractions are . A Transum Trophy is available for completing all of the challenges.

A vinculum is a mathematical symbol. It is a line that goes either above or below an expression or series of digits to show that they are grouped together. A vinculum servers the same purpose as a pair of brackets in many situations. The line drawn in the middle of a fraction has been called a vinculum by some which is convenient, particularly when considering the order of operations in an algebraic fraction or a fraction where the numerator or denominator is a calculation.

There are many more fraction activities, visual aids and lesson starters on our Fractions topic page and here are some recommended activities from that page.

Visual Aid

Fraction Wall

Fraction Wall

The traditional fraction wall diagram showing the relationship between simple fractions. This visual aid may help some pupils complete the Vinculum challenge.

Challenge

Fraction Line

Fraction Line

Arrange the fractions in order from smallest to largest. There are three different versions of this fraction ordering activity providing different levels challenge.

Exercise

Equivalent Fractions

Equivalent Fractions

Practise finding equivalent fractions numerically and in fraction diagrams. This is a classic exercise presented in three levels of difficulty.

Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

Please contact me if you have any suggestions or questions.

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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

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Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

Featured Activity

Newsletter

Newsletter

The Transum Newsletter for May 2024 has just been published. Click on the image above to read about the latest developments on this site and try to solve the puzzle of the month. You can read the newsletter online or listen to it by downloading the podcast.

Numeracy

"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."

Secondary National Strategy, Mathematics at key stage 3

Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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