punch down blocks are generally arranged in two rows of pinch connectors which are used to splice main incoming lines to the separate rooms. To do this each lines wires are punched or pressed into the outer connector clip, then a jumper is run from the incoming line to the desired room lines.
A special tool is sold to do this and is handy if you have many blocks to wire , but can be replaced with careful use of a pair of larger needle nose pliers.
The block is held on a base which provides space for the wire to be looped under it providing extra wire length if needed in the future. Do not cut the wire short and tight , leave plenty of extra for future use. It's easier to cut it shorter than make it longer.
To connect the wire loop it around the connectors hook and use the tool to press the wire to the bottom of the slot. if using pliers position the tips as if you were going to twist the connector then letting them slip press them into the block pushing the wire down the slot with the tips.
Connect the outer wires first, trimming the wire and bending it so it is away from the other connectors. then pull each wire gently into the slot beside the connector. keep each line together in a group on one side. use the flat part of the plastic between the wires to mark which line it is if desired.
Once all lines are connected, us a length of wire to jump between the lines to connect them running the jumper out the slot then leaving a slight loop back in to connect the next wire. This will keep the block clear for the other wires. Using the same color wire as the one being jumped can help when tracing the wires in the future.