Short answer. These are class words, not a judging code. Names of figures vary by teacher and by country. If a word is new, ask what the body should do.

Pole
The vertical apparatus. In studios it is usually a metal pole fixed between floor and ceiling, or a stage pole. Flow Factory’s installed poles are stainless steel, in 45 mm and 40 mm diameters.
Static
The pole is locked and does not rotate. See static vs spinning.
Spin
The pole rotates on a bearing. “Spin” is also used for a move in which the body travels around the pole.
X-lock
A mechanism, also called a quick spin at Flow Factory, that switches one pole between static and spin. Not every studio uses this hardware.
Grip
How the skin or the hand holds the pole, and also the name of bottled products that change tack. See pole grip.
Climb
Going up the pole using legs and arms. A first class may not include one.
Sit
A seated position on the pole, often with the thighs holding. One of the early holds.
Invert
Going upside down. An invert is a family of entries, not one trick, and it is not a first-class requirement.
Floorwork
Movement on the floor, away from or returning to the pole. A large part of heels and exotic classes.
Conditioning
Strength and endurance work for the hands, shoulders, core and legs, inside or beside a class.
Spotting
A teacher physically guiding a move so you can feel it safely. You can refuse a spot.
Dominant side
The side that feels easier. Pole still has to be trained on both.
Pole flow
Continuous movement and transitions, rather than a list of separate tricks. At Flow Factory it asks for about three months of pole.
Pole heels
Pole dance in platform heels. Defined in what is pole heels?
Heels dance
Dance in platform heels without a pole.
Exotic
A sensual, dance-led style of pole. Pole Dance Family uses the name Pole Exotic. It is not automatically the same class as pole heels.
Pole sport
Competitive, scored pole. Explained in pole dance vs pole sport.
Single class
One class, booked on its own. Some studios call this a drop-in. Flow Factory’s Beginner Level 1 can be booked this way. Not every school offers it.
Class card
Several classes paid for together. The usual cards are 5, 10 or 20 classes. Buying a card does not always reserve a place in a specific class.
Practice / open pole
Time on the pole that is not a taught class. It may be supervised or not. At Flow Factory, Pole Practice has no teacher.
Workshop
A one-off class, often with a guest teacher, separate from the weekly timetable.

Figure names — ayesha, brass monkey, and the rest — are left out on purpose. They multiply, they get renamed, and a glossary that lists them badly is worse than asking the teacher in the room.