Spinning and Flipping a Square

This week’s challenge takes a square (that could look a bit like a face (or layer) of a Rubik’s cube and challenges you to notice which moves produce which change in orientation. Challenge On Boarding…

Rotating & Reflecting Words

Letters are the shapes that we are most familiar with. We draw them and play with them far more than any other shapes. We recognise them for their properties often, not just the most familiar…

Rotating Polyominoes

This week our challenge is to explore the rotational symmetry of polyominoes. What are polyominoes? Polyominoes are made when squares are connected along a whole edge or two vertices. They are great for exploring properties…

Rolling Cube Challenge

Challenge On Boarding – How to Roll a Cube Note: This is not like rolling a dice. You kind of have to imagine a cube trying to roll like a ball. Or even better watch…

Folding Symmetry

This week’s challenge invites you to look for seed shapes in bigger shapes. Imagine a small shape with no reflectional symmetry, duplicating itself with its mirror image and producing a new shape. Imagine that this…

Open number lines

You are likely to be familiar with number lines that have evenly spaced numbers already printed on them. They are one of the most powerful representations in arithmetic. They can be made to show negative…

Knight’s Move Challenge

Knight’s Move challenges are quite popular. They can involve one more more knights and varying spaces that the knight has to traverse. Our challenge is a simple Knight’s tour, where the knight should land on…

Diffy

This is quite a popular puzzle or investigation amongst maths teachers. The reason for this is that it is a great example of a High Ceiling Low Threshold (HCLT) task. You only need to be…

Exploring Long Addition

We take a lot for granted in our number system. Place value is one example. It’s difficult to see how revolutionary it is. It’s like the fish who doesn’t know what water is. We take…