Skewb: Sarah's method
First layer, then the last layer's corners and centres.
The Skewb turns around its corners: each turn moves half the puzzle. It has 8 corners and 6 centres. Sarah's method (the standard for speed) solves a first layer (a centre with its four corners, planned in inspection), then the last layer: the four top corners and the five remaining centres, in one algorithm (Sarah's advanced) or two (intermediate: corners, then centres).
Notation, as on the algorithm sheets: F, R, B and L turn the top corners at the front-right, back-right, back-left and front-left; lowercase f, r, b and l the corner below each. Each is a third of a turn, clockwise seen from that corner; x, y and z turn the whole puzzle as on a cube. The algorithms include their rotations: hold the puzzle as the case is drawn.
The first layer done: the case Sarah's advanced starts from.
The skewb unfolded: each face a centre square with corner triangles around it.