# Resources tagged with: Locus/loci

### There are 13 results

Broad Topics >

Transformations and constructions > Locus/loci

##### Age 7 to 16 Challenge Level:

A cheap and simple toy with lots of mathematics. Can you interpret
the images that are produced? Can you predict the pattern that will
be produced using different wheels?

##### Age 11 to 14 Challenge Level:

Can you maximise the area available to a grazing goat?

##### Age 11 to 14 Challenge Level:

A circle rolls around the outside edge of a square so that its circumference always touches the edge of the square. Can you describe the locus of the centre of the circle?

##### Age 11 to 14 Challenge Level:

A rectangular field has two posts with a ring on top of each post.
There are two quarrelsome goats and plenty of ropes which you can
tie to their collars. How can you secure them so they can't. . . .

##### Age 11 to 14 Challenge Level:

Draw a square. A second square of the same size slides around the
first always maintaining contact and keeping the same orientation.
How far does the dot travel?

##### Age 11 to 14 Challenge Level:

The triangle ABC is equilateral. The arc AB has centre C, the arc
BC has centre A and the arc CA has centre B. Explain how and why
this shape can roll along between two parallel tracks.

##### Age 11 to 14 Challenge Level:

A triangle ABC resting on a horizontal line is "rolled" along the
line. Describe the paths of each of the vertices and the
relationships between them and the original triangle.

##### Age 7 to 11 Challenge Level:

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

##### Age 11 to 14 Challenge Level:

Two circles of equal radius touch at P. One circle is fixed whilst the other moves, rolling without slipping, all the way round. How many times does the moving coin revolve before returning to P?

##### Age 11 to 14 Challenge Level:

Experiment with the interactivity of "rolling" regular polygons,
and explore how the different positions of the red dot affects its
vertical and horizontal movement at each stage.

##### Age 11 to 14 Challenge Level:

Experiment with the interactivity of "rolling" regular polygons,
and explore how the different positions of the red dot affects its
speed at each stage.

##### Age 11 to 14 Challenge Level:

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

##### Age 11 to 16 Challenge Level:

From the information you are asked to work out where the picture
was taken. Is there too much information? How accurate can your
answer be?