Israel says it has called thousands of residents in Gaza to warn them of strikes and dropped leaflets in Gaza warning Palestinian civilians to "avoid being present in the vicinity of Hamas operatives," the IDF said.

It also uses "roof knocking" -- targeting a building "with a loud but nonlethal bomb that warns civilians that they are in the vicinity of a weapons cache or other target. This method is used to allow all residents to leave the area before the IDF targets the site with live ammunition."

Roar of planes followed by 'kaboom'

At one point Thursday morning, 13 rockets were fired in quick succession from Gaza into Israel. A CNN crew could see trails of smoke as they reported from the Israeli side of the Erez Crossing on Gaza's northern border.

The crew was forced to take cover after rockets struck near the border crossing.

Later, reporting from Gaza City, the crew witnessed airstrikes and plumes of black smoke in many parts of the city.

Egypt watches with interest

The escalating violence is likely to further erode Israel's fragile relationship with Egypt, which recalled its ambassador to Israel on Wednesday in protest over the ongoing strikes. It also delivered a formal protest to the Israeli government.

On Thursday, when asked by CNN's Hala Gorani if treaties between Egypt and Israel are in danger, the chief of the Egyptian presidential cabinet said no.

"Not at all. Because we have declared several times, repeatedly, that we abide by our international commitments," Mohamed Refa'a al-Tahtawi said. "But respecting a peace treaty does not mean to stay idle or indifferent to what is going on along our borders.

A spokesman for Egyptian President Mohamed Morsy said the Arab League will meet Saturday in emergency session to discuss the violence.

"Egypt is taking all diplomatic measures with all parties involved to reach some sort of immediate truce or cease fire," Yaser Ali added.

A senior official in U.S. President Obama's administration told CNN that the White House is asking Egypt and Turkey -- two nations that have influence with Hamas -- to urge the group to de-escalate the rocket attacks.

But a Hamas deputy foreign minister told CNN: "I am in touch with the Egyptians they are very angry and very upset because they feel that Israel put a knife in their back" by attacking sites in Gaza.

Egypt's Prime Minister Hesham Kandil will travel on Friday morning to Gaza with a team of presidential advisers and ministers to meet with Palestinian officials.

U.N. Secretary-General Ban Ki Moon also will go to Egypt and Israel next week, because of the rising tensions between Israel and Hamas, a Western diplomat told CNN. The diplomat said the Secretary General has canceled a trip to Mozambique, Botswana, Seychelles and Mauritius to go to the Middle East.