### NRICH PROBLEM SOLVING AREA AND PERIMETER

An activity for high-attaining learners which involves making a new cylinder from a cardboard tube. It is important that you stress we are looking at numerically equal values. Do they all have the same volume? Sometimes area and perimeter of rectangles are taught separately, and are often confused. These pictures were made by starting with a square, finding the half-way point on each side and joining those points up.

An investigation that gives you the opportunity to make and justify predictions. What is the greatest volume you can get for a rectangular cuboid parcel if the maximum combined length and girth are 2 metres? Shaping It These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. Age 7 to 11 Challenge Level: Try with other numbers of cubes as well. Shape Draw Age 7 to 11 Challenge Level: I’m thinking of a rectangle with an area of

Tiles in the Garden Age 7 to 11 Challenge Level: Cuboids Age 11 to 14 Challenge Level: Have a good look at these images. What could its perimeter be? This problem offers the opportunity to practise calculating areas of circles and fractions of a circle in the context of an optimisation task.

Area nroch Perimeter What can you say about these two shapes?

# All about Area and Perimeter :

Fence It Age 11 to 14 Challenge Level: Area and Perimeter KS2. Use a single sheet of A4 paper and make a cylinder having the greatest possible volume. Register for our mailing list. Can you help William to work out its area? What can you say about these shapes?

## Area and Perimeter KS2

How can you change the perimeter but keep the area the same? Age 11 to 14 Challenge Level: These rectangles have been torn.

After a moment of thought they normally go, well yes. Explore this interactivity and see if you can work out what it does. How are they related? From there I drew a square on the board and showed that a square is in fact a special type of rectangle therefore the answer was indeed valid.

Noor from Kingsbury Green Primary School answered the question; ‘Can you draw a shape in which the area is numerically equal to its perimeter? Can you provide convincing evidence for your rankings? These are also two of the shapes given sokving the set of cards. Identical squares of side one probelm contain some circles shaded blue. Identical squares of side one unit contain some circles shaded blue. Can They Be Equal? If all the vertices must have whole number coordinates, how many is it possible to draw?

Which window has been given an incorrect price? Could you use it to estimate the area of a shape? Tiling Age 7 to sollving Challenge Level: It means that I get to think of a different way to introduce practising this skill.

Can you maximise the area available to a grazing goat? How many squares did each one have inside it before it was ripped? To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

Completing Quadrilaterals Age 11 to 14 Challenge Level: Read more at https: