Using a wedge of lime with a small slice in the middle, fit over rim of glass and swirl around the entire rim of glass. This can be done ahead of time, so your glasses are already prepared.
Dip glass rim in the ingredient mixture until well coated.
Combine all of the above ingredients and muddle together in a spouted mixing cup.
Fill shaker with ice.
Using a strainer pour the muddled margarita mixture over the ice. Shake the mixture several times. You will have enough for 2 batches, each batch making one generous margarita.
Place 3-4 ice cubes in each glass and pour your first batch of chilled margaritas over the cubes in your rimmed and prepared glass. Repeat
Garnish with thinly sliced English cucumbers and jalapeños.
Place garnishes on top of the ice cubes so they will stay afloat.
Combine water and sugar and heat until sugar is dissolved.