The idiom and phrasal verb to make a point means to argue or present an idea. To make a point also means to ensure to do something or to make sure that something is done.

1. When Tony was training his dog, he made a point of giving him treats for good behaviour.
2. I wanted to make a point about the environment at the meeting but I couldn't get a word in edgeways.

1. Helen made a point of highlighting her research into quantum physics during the presentation.
2. At the end of the presentation, Tom raised his hand and said, I'd like to make a point.
3. The politician made some strong points in his speech, and the media discussed them for days.