UK continuous cursive is the fully joined school hand taught in many English and Welsh primary schools since the 1990s: every lowercase letter starts with a lead-in stroke from the baseline, so words are joined from the first day.
Letterforms
The letters are print shapes with a lead-in stroke at the front and an exit stroke at the back, few loops, and an upright or slightly right-leaning stance. Ascenders are plain stems; descenders are short tails or small loops depending on the school. Capitals are print capitals and are not joined. The single new element for a child who can print is the lead-in stroke, which is also what makes the letters join.
Joins and lifts
Every lowercase letter joins the next through its exit stroke; the letter after b, o, v and w starts from a short bridge at the midline. The pen lifts after capitals, between words, and to add dots and crossbars once the word is finished. Schools differ on whether to join to and from certain letters, and on the shape of f, k and z, so a child moving between schools may meet small differences.
Where it comes from
England and Wales set no single national script; schools choose a handwriting model and are expected to use it consistently. From the 1990s many chose a continuous cursive with lead-ins, on the argument that joining from the start builds fluency and that print and cursive should share one alphabet. Other schools teach print first and join later, and the national curriculum permits either. This site renders the model in a British school face.
Practising it
Practise the lead-in stroke on its own first, then the oval letters c, a, d, g, then the stem letters, then two-letter joins. The worksheet generator prints the model on the three-line rules UK schools use, and the alphabet worksheets cover the letter families. The continuous stroke page describes the American form of the same idea.