A follow-up activity to Tiles in the Garden. Identical squares of side one unit contain some circles shaded blue. Can you find rectangles where the value of the area is the same as the value of the perimeter? Can they be equal by nrich is an excellent activity to do for this. Have a go at creating these images based on circles. Age 7 to 11 Challenge Level: This problem offers students a chance to develop strategies for organising and understanding mixed up information within the context of calculating areas and perimeters of rectangles.
In this game for two players, you throw two dice and find the product. How many different squares can you make altogether? These rectangles have been torn. How can you change the surface area of a cuboid but keep its volume the same? The cylinder must be closed off by a circle at each end.
How can you change the volume but keep the surface area the same?
Nrich – Can they be equal? – Mrs Mahoney
Identical squares of side one unit contain some circles shaded blue. What happens if you take a ‘middle square’ out of a shape? A follow-up activity to Nridh in the Garden. Area and Perimeter Age 7 to 11 Challenge Level: Home Blog Useful Websites. Is there more than one?
All about Area and Perimeter
Cover the Tray Age 7 to 11 Challenge Level: Did they establish any ‘principles’ that helped them? This problem challenges you to create shapes with different areas and perimeters.
Some interesting shapes used that really encourage students to think about reflection and not just mindlessly draw. How can you change the area of a shape but keep its perimeter the same?
These are also two of the shapes given on the set of cards. Can you help William to work out its area? Cola Can Age 11 to 14 Challenge Level: Sending a Parcel Age 11 to 14 Challenge Level: These practical challenges are all about making a ‘tray’ and covering it with paper.
Area and Perimeter :
Age 11 to 14 Challenge Level: An activity for high-attaining learners which involves making a new cylinder from a cardboard tube. One answer given was a 6 by 3 rectangle which all of my students accepted and said yes they agreed this was indeed an answer. Blue and White 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. If you have only 40 metres of fencing available, what is the maximum area of land you can fence off?
If the can’s diameter is 6 cm what is the can’s height? We started drawing some quadrilaterals – can you complete them?
What can you say about these shapes? P is 16a is 9 Thomas didn’t give any units in his solution. To find all possible solutions they will need to work systematically.
Once the first part of this problem was completed, students moved onto the second part of this problem which is below: It may be that some children notice that for a given perimeter, a square gives the maximum possible area. How many squares did each one have inside it before it wrea ripped? My first formal lesson with year 7 and the LO is to be able to calculate the perimeter and area of a rectangle.
Through the Window Age 7 to 11 Challenge Level: Register for our mailing list. What are the dimensions of the rectangle?