Hi!
There are two types of transport of matter through the animal cell:
1. Passive transport, which is composed of:
a. diffusion
b. facilitated diffusion
c. osmosis
In passive transport, matter through cell membrane is moving around using the process of equalizing the concentration in the environment.
2. Active transport, which is composed of:
a. Na-K pump
b. endocytosis
c. egsocytosis
Active transport is based on transport of macromolecules and transport with energy consumption.
Hope this helps!