I have just posted practice sheets for the Syriac alphabet on the Syriac Grammar page on Between the Perfect and the Doomed (https://markfrancois.wordpress.com/syriac-grammar/). These letters are in the Estrangela script and show how letters are written when they are not attached to other letters.
There are three main scripts that are used to write Syriac: the Estrangela script, the Serto script (also referred to as the Jacobite script), and the Nestorian script. The Estrangela script is the oldest script and is the script used in most scholarly editions of Syriac texts, including the Leiden Syriac Peshitta (the standard critical edition of the Syriac Old Testament) and the various writings in the Corpus Scriptorum Christianorum Orientalium series (e.g. works of Ephrem the Syrian, Syriac historical chronicles, etc.). It is also the script used in Sokoloff’s A Syriac Lexicon (i.e. the updated version of Brockelmann’s Lexicon Syriacum).
The Estrangela script is a semi-cursive script, meaning that many of the letters are joined together to allow for continuous writing. However, in certain situations the various letters of the Estrangela script will appear unattached and sometimes have a form that looks different from the form they would normally take when attached to other letters. If you are learning Syriac, it is important to master these unattached forms.
While the Estrangela script can be written with a normal pen or pencil, you may want to purchase a calligraphy pen/marker in order to make the lines thinner or thicker when needed. I use a Tombow calligraphy pen.
For those of you who know Hebrew, the fonts used for the Estrangela script are basically identical with how they look in manuscripts. This is quite different from Hebrew where handwritten letters often look somewhat different from how they appear in printed editions of the Hebrew Bible. This means that you will have little difficulty reading actual Syriac manuscripts if you master this script. It also means that your own writing has the potential to look like Syriac writing as it appears in manuscripts.
Just a quick note. Not everyone forms letters in the Estrangela script in the same sequence that I do for every letter of the alphabet, though most will be the same. I have chosen this particular order because it allows my letters to be neater and, in the forms that are identical to how they look when they are attached to other letters, they allow the letters to be connected to the next letters more easily.