Thanks to Hannah, Sophie Rebecca of the Roos C.E Primary School, who sent in the beginnings of a solution but there is still much to do. I have added some comments below.

Firstly, we decided that we should use the right angles on the shape to create a 360 degree pattern. We found that the pattern made a shape of a butterfly. We also found out that the butterfly pattern could be joined together.

Basic unit

What transformations of the original tile were needed to create this unit?
How do these basic units fit together to tessellate the plane?
What other transformations of the original tile are needed to cover the plane?

Thanks to Hannah, Sophie Rebecca of the Roos C.E Primary School, who sent in the beginnings of a solution but there is still much to do. I have added some comments below.

What transformations of the original tile were needed to create this unit? How do these basic units fit together to tessellate the plane? What other transformations of the original tile are needed to cover the plane?

What transformations of the original tile were needed to create this unit?
How do these basic units fit together to tessellate the plane?
What other transformations of the original tile are needed to cover the plane?