They are not connected except they both share one common factor and that is both the Egyptian and Mayan cultures are classified as being one of the "first civilizations" of the known world.
The Mayan pyramids were combined temples and tombs, while the Egyptian pyramids were tombs with temples attached. Both had square bases and four sides, but they look very different. The true Egyptian pyramids are much larger than the Mayan pyramids, and have smooth sides and pointed tips. Originally, they were covered in white limestone and their tips were covered in gold so that they shone in Egypt's strong sunlight. The Maya pyramids are much later in date. They are stepped or tiered, with stairways to allow access to the flat top, which housed ceremonial buildings.
The Mayan Calendar is something profoundly different than just a system to mark off the passage of time and it is extremely accurate. The ritual calendar that developed in Mesoamerica used a count of 260 days. This calendar gave each day a name, much like our days of the week. There were 20 day names, each represented by a unique symbol. The days were numbered from 1 to 13. Since there are 20 day names, after the count of thirteen was reached, the next day was numbered 1 again. The 260-day or sacred count calendar was in use throughout Mesoamerica for centuries, probably before the beginning of writing.
The Maya also tracked a vague solar year in which they counted 365 days per year. Because they could not use fractions, the "quarter" day left over every year caused their calendar to drift with regard to the actual solar year. The 365-day year contained months were also given names. numbers 0-19 before they changed, so that the count goes Zero Pohp to 19 Pohp, then continues with Zero Wo.
To the eighteen regular months the Maya appended a special five-day month called Wayeb composed of 5 days which were considered unnamed and unlucky. Thus the days were counted: One Imix, Zero Pohp, Two Ik, One Pohp. When the thirteenth day was reached the next day was Thirteen Ben, Twelve Pohp; then One Ix, Thirteen Pohp, Two Men, Fourteen Pohp. After Seven Ahaw, Nineteen Pohp, the next day was Eight Imix, Zero Wo.
In addition, the Maya used special glyphs to indicate time periods, the kin represented one day. Winals are periods of 20-days which we now call a month. The Tun was a year of 360 days and the K'atun was a time period of 20 years of 360 days each. As we will see later, the K'atun ending was a special time period celebrated by the Maya. It has its parallel in the modern world, the period of time which we call a decade. The Maya also counted 400-year periods called Baktuns. The Maya used these time periods in a special day count which is now called the Long count. Today a typical long count date is written thus: 9.14.12.2.17. This represents 9 baktuns, 14 k'atuns, 12 tuns, 2 winals and 17 k'ins.