# 218. Liverpool Maths

You know you are a Maths teacher when you go around a British city seeing shapes and maths everywhere AND you take pictures of it! Here are some discussion starters based around the area of Liverpool ONE:

Curved building
What would the plans and elevations look like? Why do you think the side windows are parallelograms not rectangles? Are the end windows similar shapes? What mathematical word describes distorting a shape? (Skew)

Stacked shapes
What would a plan and elevation of this building look like? What shape is the base of the projected level? (Trapezium)

Sine wave
Is this an approximation of a sine wave? Is it representing a convergent sequence?

Triangular roof
Why are triangles so popular in architecture?

Interesting shopfront projection
What would an aerial view look like? Would you see the zigzag projections?

Security door
What shapes can you see? Is it like isometric or squared dotty paper?

Curved stairwell
What mathematical things can you see? Are the handrails parallel?

Circular skylight
What features of a circle can you see?

# 64. Through the square window

Did you get the ‘Through the square window’ reference? Hmmm… for those too young to remember the BBC programme ‘Playschool’ here is a picture:

This activity is all about regular polygons. It would be best for primary pupils or lower ability KS3.

Equipment
Clear lids from big yoghurt pots.
Sharpie markers or similar
Post-it notes
Pencil, ruler, protractor, compasses

Prep

On the reverse of a post-it note, draw a regular polygon.

Stick the post-it on the underside of the lid.

Trace the shape onto the plastic lid.

Label it.

You have just made a shape viewer!

Activity
Give pupils shape viewers and challenge them to find as many ‘real life’ examples of each shape as they can in the classroom or playground.

As the lids are clear, pupils can look through them to find the shapes.

Note
You could make a rectangle viewer and challenge pupils to explain why it isn’t regular.