# Half Hearted

3
8
5
13
10
26
24
53
113
251
29
54

Find the number which when added to the top (numerator) and bottom (denominator) of each fraction make it equivalent to one half. more...

 Tweet Share

Topics: Starter | Algebra | Fractions

• Transum,
•
• It must seem strange to so many people that you can multiply the top and bottom of a fraction by the same number and the fraction's value remains the same but when you add the same number to top and bottom the fraction's value changes.

Then we think of equations and the rules are different. You can multiply or add to both sides and the equation remains balanced.

What is your best explanation for that?

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Satisfactory
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

Previous Day | This starter is for 22 May | Next Day

Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter from random numbers.

## Extension activities

Find the number which when added to the numerator and denominator of each of the fractions above make them equivalent to one third.

What should be added to the numerator and denominator of the fraction whose numerator is n and denominator is d to make it equivalent to one half?

What should be added to the numerator and denominator of the fraction whose numerator is n and denominator is d to make it equivalent to one third?

Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.

## GCSE Revision and Practice

Whatever exam board you use for GCSE Mathematics, this book by David Rayner remains an all-round winner. With this latest edition presented in full colour and completely updated for the new GCSE(9-1) specifications, this uniquely effective text continues to increase your chance of obtaining a good grade.

This book is targeted at the Higher tier GCSE, and provides a wealth of practice with careful progression, alongside substantial revision support for the new-style grading and exam questions. With all the new topics included, and a dedicated section on using and applying mathematics, this unique resource can be used either as a course book over two or three years or as a revision text in the run-up to exams. more...

 Teacher, do your students have access to computers?Do they have iPads or Laptops in Lessons? Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Transum.org/go/?Start=May22

Here is the URL which will take them to a related student activity.

Transum.org/go/?to=vinculum

A glass ½ full = A glass ½ empty

Multiply both sides by two

A full glass = An empty glass

For Students:

For All: