Describing patterns and sequences

Imagine we have four bags containing numbers from a sequence. What numbers can we make now?

How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?

Can you describe what is happening as this program runs? Can you unpick the steps in the process?

Can you find examples of magic crosses? Can you find all the possibilities?

Watch this animation. What do you notice? What happens when you try more or fewer cubes in a bundle?

What's the greatest number of sides a polygon on a dotty grid could have?

Can you find the connections between linear and quadratic patterns?

Play around with the Fibonacci sequence and discover some surprising results!

Can you figure out how sequences of beach huts are generated?

Surprising numerical patterns can be explained using algebra and diagrams...