Alaa Kazhdum was carried through the streets by her father as crowds swelled in Gaza City earlier today.
Air raid sirens sounded in Tel Aviv just after 6pm local time (3pm GMT), with a series of explosions in the city's southern district and Jaffa reported on social media.
There were no immediate reports of casualties and at least three explosions, possibly caused by interceptions, were heard in the city, Reuters reported.
IDF spokesperson Ran Kochav said the nation would conduct a 'week of operations' to root out Islamic Jihad terror chiefs from the Palestinian territory.
He said today: 'The Islamic Jihad is a group without a leadership, and less well organized than the Gaza ruling Hamas
'It sustained a major blow during last year's 11 days of fighting, which was evident with its ability now, to fire rockets accurately.'
Explosion and destruction as Israeli warplanes strike Gaza buildingLoaded: 0%Progress: 0%0:00PreviousPlaySkipMuteCurrent Time0:00/Duration Time1:00FullscreenNeed Text
Israeli army forces claim more than 200 rockets have been fired from Gaza into the country since Friday night.
But they added some 95 per cent have been neutralised by the cutting-edge Iron Dome anti-missile system.
Gaza's Hamas rulers have appeared to stay on the sidelines of the conflict, keeping its intensity somewhat contained, for now.
Israel and Hamas have fought four wars and several smaller battles over the last 15 years at a staggering cost to the territory's two million Palestinian residents.
Shortly before noon, Israeli warplanes stepped up air strikes in Gaza.
After warning residents in phone calls, fighter jets dropped two bombs on the house of an Islamic Jihad member, flattening the west Gaza City two-storey structure and badly damaging surrounding homes.
Women and children rushed out of the area.
'Warned us? They warned us with rockets and we fled without taking anything,' said Huda Shamalakh, who lived next door.
She said 15 people lived in the targeted home.
Another air strike hit an Islamic jihad site nearby.
The latest round of Israel-Gaza violence was sparked by the arrest this week of a senior Islamic Jihad leader in the West Bank, part of a month-long Israeli military operation in the territory.
Citing a security threat, Israel then sealed roads around the Gaza Strip and on Friday killed the militant leader in a targeted strike.
A blast was heard in Gaza City, where smoke poured from the seventh floor of a tall building.
Video released by Israel's military showed the strikes blowing up three guard towers with suspected militants in them.
In a nationally televised speech on Friday, Israeli Prime Minister Yair Lapid said his country launched the attacks based on 'concrete threats'.
'This government has a zero-tolerance policy for any attempted attacks - of any kind - from Gaza towards Israeli territory,' Mr Lapid said.