Mathematical Investigation

Rectangle Perimeters

The perimeter of a rectangle is 28cm.
What could its area be?

[See also Oblongs]

Investigate further.....

Investigations Home

Teachers: How have you used this resource? Do you have ideas on how other teachers could present, adapt, or build upon it? I’d love to hear your thoughts! Your feedback is invaluable in helping me improve this free resource and making it even more beneficial for learners around the world. Please Click here to enter your comments.

A mathematical investigation is quite different to other mathematical activities. The best investigations are open ended and allow students to choose the way they work and how they record their findings. It is one of the few occasions when 'going off on a tangent' is not only acceptable but actively encouraged (within reason).

Students may ask for 'the answers' but this supposes that the activity is closed. Investigations can always be extended by varying the initial instructions or asking the question 'what if...?'. Sometimes students point out that the instructions are ambiguous and can be interpreted in different ways. This is fine and the students are encouraged to explain how they interpreted the instructions in their report.

Some students may benefit from a writing frame when producing the reports of their investigations. Teachers may suggest sections or headings such as Introduction, Interpretation, Research, Working and Conclusion or something similar.

Here are some other activities you may be interested in:

Featured Activity

Lemon Law

Lemon Law

A fascinating digit changing challenge. Change the numbers on the apples so that the number on the lemon is the given total. Can you figure out, by understanding place value, how this works?

Suggested

Remainder Race

Remainder Race

A game involving chance and choice requiring an ability to calculate the remainder when a two digit number is divided by a single digit number.

The short web address is:

Transum.org/go/?Num=750

Recently Updated

Prime Prevention

Prime Prevention

Players take turns placing numbers from 1-9 on the grid. Avoid making three-digit prime numbers in any direction! So far this activity has been accessed 319 times and 3 Transum Trophies have been awarded for completing it.

Teacher's notes for this investigation and solutions to Transum puzzles, exercises and activities are available when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

A Transum subscription also gives you access to the 'Class Admin' student management system, downloadable worksheets, many more teaching resources and opens up ad-free access to the Transum website for you and your pupils.

Transum.org is a proud supporter of the kidSAFE Seal Program