This is a brilliant way to challenge the misconception that so many year 7s posses. We soon got to that a rectangle has 4 sides, 4 right angles, 2 sets of parallel sides that are the same length. Leave a Comment Cancel reply. Follow the hints and prove Pick’s Theorem. Can you describe what is happening? These pictures were made by starting with a square, finding the half-way point on each side and joining those points up.

Cola Can Age 11 to 14 Challenge Level: These rectangles have been torn. Home Blog Useful Websites. Growing Rectangles Age 11 to 14 Challenge Level: I think students need to realise that there is a whole range of numbers out there not just integers and start to realise that fractions, decimals, surds etc are all just numbers.

How can you change the volume but keep the surface area the same?

## Nrich – Can they be equal?

Identical squares of side one unit contain some circles shaded blue. How many squares did each one have inside it before it was ripped? How are they related?

Cuboid Challenge Age 11 to 16 Challenge Level: How would you move the bands on the pegboard to alter these shapes? Working on this problem will give students a deeper understanding of area and perimeter, and how they change as a shape is altered.

Shaping It These pictures were made by starting with a square, finding the half-way point on each side and joining those points up. Which window has been given an incorrect price? 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.

Find the area of the square that could be inscribed in a circle of the same radius. Register for our mailing list.

Find a cuboid with edges of integer values that has a surface area of exactly square units. Cubes Solvinh 7 to 11 Challenge Level: Noor from Kingsbury Green Primary School answered the question; ‘Can you draw a shape in which the area is numerically equal to its perimeter?

Are these statements always true, sometimes true or never true? Wallpaper Age 5 to 7 Challenge Level: Torn Shapes Age 7 to 11 Challenge Level: Matthew from Parkgate Primary School focused on the first two shapes in the problem. You have obviously put a lot of thought into this problem. If I counted the sides there would prlblem four on each side: A colourful cube is made from little red and yellow cubes.

# Area and Perimeter KS2 :

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. Area and Perimeter KS2. Making Boxes Age 7 to lroblem Challenge Level: If you move the tiles around, can you make squares with different coloured edges?

Can you find rectangles where the value of the area is the same as the value of the perimeter?

Compare Areas Age 14 to 16 Challenge Level: Solvnig pictures were made by starting with a square, finding the half-way point on each side and joining those points up. Did they establish any ‘principles’ that helped them?

Triangles in a Square Age 11 to 14 Challenge Level: Cylinder Cutting Age 7 to 11 Challenge Level: In how many periimeter can you halve a piece of A4 paper? Bashayer from Kingsbury Green Primary also found this solution. Cylinder Cutting An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.

How many extra pebbles are added each time? This collection of rich tasks is intended to help you to develop these useful insights into area and perimeter.