Describing patterns and sequences

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Daisy and Akram have made some number patterns. Can you find out which pattern is longer?

Create a pattern on the small grid. How could you extend your pattern on the larger grid?

What patterns can you make with a set of dominoes?

In this activity, shapes can be arranged by changing either the colour or the shape each time. Can you find a way to do it?

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.

What number patterns can you see in the different arrangements of these caterpillars?

Tom had a tomato plant and he sowed a bean seed. When will the two plants be the same height?

Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?