Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Quadrilaterals Game

*These printable worksheets may be useful:* Quadrilaterals Game

Quadrilaterals Game Cards

### Why play this game?

This game fits in well into a unit of work on the properties of polygons, that could also include the problems Property Chart and Shapely Pairs

There is an excellent article by Gillian Hatch on the NRICH site, Using Games in the Classroom
She analyses what goes on when geometrical mathematical games are used as a pedagogic device.

These are the headings from the article:

Learning

A game can generate an unreasonable amount of practice

Geometric games create a context for using geometric reasoning

A game will often result in the making of generalised statements

A game can allow the introduction of ideas that are difficult to develop in other ways.

Games seem to be able to lead pupils to work above their normal level

Ways of working

A game leads pupils to talk mathematics

A game can create discussion of all kinds

Games put pressure on players to work mentally

A game does not define the way in which a problem is to be solved or worked out

A game often can be played at more then one level

Pupil experience

It is acceptable to learn the rules of a game gradually

Games are played in a context in which there is usually unthreatening help available

The pieces used in a game are concrete objects

A game allows a pupil to hide until he feels confident

## You may also like

### Linkage

### Making Rectangles, Making Squares

### The Cyclic Quadrilateral

Or search by topic

Age 11 to 14

Challenge Level

- Game
- Teachers' Resources

Quadrilaterals Game Cards

There is an excellent article by Gillian Hatch on the NRICH site, Using Games in the Classroom

These are the headings from the article:

Learning

A game can generate an unreasonable amount of practice

Geometric games create a context for using geometric reasoning

A game will often result in the making of generalised statements

A game can allow the introduction of ideas that are difficult to develop in other ways.

Games seem to be able to lead pupils to work above their normal level

Ways of working

A game leads pupils to talk mathematics

A game can create discussion of all kinds

Games put pressure on players to work mentally

A game does not define the way in which a problem is to be solved or worked out

A game often can be played at more then one level

Pupil experience

It is acceptable to learn the rules of a game gradually

Games are played in a context in which there is usually unthreatening help available

The pieces used in a game are concrete objects

A game allows a pupil to hide until he feels confident

Four rods, two of length a and two of length b, are linked to form a kite. The linkage is moveable so that the angles change. What is the maximum area of the kite?

How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?

This gives a short summary of the properties and theorems of cyclic quadrilaterals and links to some practical examples to be found elsewhere on the site.