The Merseysiders are unlikely to overhaul fourth-placed Arsenal, who are four points better off with just a brace of games to play.
Everton look like being the unlucky losers as their points tally of 69 would have qualified them for the Champions League in seven of the last 11 seasons.
And Martinez said: "We need six points because I still think 75 points will be very much an exceptional figure, wherever it takes you.
"The only thing you can control in football is what you do. Seventy-five points in the last three seasons would have got you in the top three.
"We are not a team who are happy just to do enough, that is not in our nature.
"We are coming out to perform as well as we can and carry on making everyone proud and looking after our own returns."
As for Manchester City's trip to Goodison Park on Saturday, Martinez added: "We have been outstanding in the last few fixtures at home.
"It is important we give our fans a proper send-off and make it a performance to remember.
"It is a very easy game to approach from our point of view. After seeing their performance at Crystal Palace we know we are going to face a tough team and this team seems ready to finish this season strongly.
"The last home fixture is always a special fixture so, in that respect, it is very easy - we want to finish really strongly at home."
Watch Everton take on Manchester City live on Sky Sports 1 at 5.30pm on Saturday.