Numerically Equal Age 7 to 11 Challenge Level: Pairs could then explore the shapes on the remaining cards and you can challenge them with the specific questions given in the problem itself. Can They Be Equal? Quite a few of my students when conducting investigations often stick to integers and have a hard time with using other types of numbers such as fraction, decimals or as they get to KS4 surds etc. Isometric Areas Age 11 to 14 Challenge Level: Once the comments had been made I challenged one of the students: Can you maximise the area available to a grazing goat?

Shaping It Age 5 to 11 Challenge Level: This is a brilliant way to challenge the misconception that so many year 7s posses. Measure problems for inquiring primary learners. Thomas from Colet Court examined the eight shapes which were drawn on the cards. Can you work out how they arrived at these prices? Cuboid Challenge Age 11 to 16 Challenge Level:

A classic example is when students solve equations and tell me that they got a fraction for an answer and is this OK? Use a single sheet of A4 paper and make a cylinder having the greatest possible ;roblem.

# Perimeter, Area and Volume – Stage 3 :

Pythagoras for a Tetrahedron Age 16 to 18 Challenge Level: The first part of the problem is below: Cover the Tray Age 7 to 11 Challenge Level: Once the first part of this problem was completed, students moved onto the second part of this problem which is below:. On the Edge Age 11 to 14 Challenge Level: Perimeter and Area This selection of problems is a great starting point for learning about Perimeter and Area.

Measure problems for inquiring primary learners. Measure problems for primary learners to work on with others.

What happens if you take an ‘edge square’ off a shape? Tiles in the Garden Age 7 to 11 Challenge Level: This problem challenges you to create shapes with different areas and perimeters.

## Perimeter and Area

Have a good look at these images. If the can’s diameter is 6 cm what is the can’s perimetr What will happen if you try the other shapes?

In how many ways can you halve a piece of A4 paper? Noor from Kingsbury Green Primary School answered the question; ‘Can you draw a shape in which the area is numerically equal to its perimeter?

# Measuring and calculating with units :: Area – squares and rectangles :

These pieces of wallpaper need to be ordered from smallest to largest. If you have only 40 metres of fencing available, what is the maximum area of land you can fence off? How are they related? Cylinder Cutting An activity for high-attaining learners which involves making a new cylinder from a cardboard tube.

Age 11 to 14 Challenge Level: Register for our mailing list.

## Perimeter, Area and Volume – Stage 3

Perimeher a Parcel Age 11 to 14 Challenge Level: As I was walking around the room it was really interesting to see what rectangles the students were trying and the conversations they were having. How can you change the area of a shape but keep its perimeter the same?

So I continued to press on, is that the only defining feature of a rectangle? Grandpa was measuring a rug using yards, feet and inches. Keep adding as few pebbles as necessary to double the area. Area and Perimeter Age 7 to 11 Oroblem Level: Brush Loads Age 7 to 11 Challenge Level: I want my students from early on to realise that these things are numbers and to feel comfortable working with them.

In this game for two players, you throw two dice and find the product. Exit tickets — Plenary idea.

How many extra pebbles are added each time?