Being curious - Primary geometry

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Here is a selection of different shapes. Can you work out which ones are triangles, and why?

Explore ways of colouring this set of triangles. Can you make symmetrical patterns?

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

What does the overlap of these two shapes look like? Try picturing it in your head and then use some cut-out shapes to test your prediction.

What is the greatest number of squares you can make by overlapping three squares?

Here are shadows of some 3D shapes. What shapes could have made them?

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

How many different triangles can you make on a circular pegboard that has nine pegs?

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

On the graph there are 28 marked points. These points all mark the vertices (corners) of eight hidden squares. Can you find the eight hidden squares?

What can you see? What do you notice? What questions can you ask?

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

Can you find all the different triangles on these peg boards, and find their angles?

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.